Sudheer Venna

Big Ideas Math Book 1st Grade Answer Key Chapter 2 Fluency and Strategies within 10 is an essential study material for students. Basic concepts of maths are clearly explained to score high marks for students. Also, in-depth knowledge of Chapter 2 Fluency and Strategies within 10 BIM Grade 3 Answer Key mentioned with a brief explanation.

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Big Ideas Math Book 1st Grade Answer Key Chapter 2 Fluency and Strategies within 10

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Vocabulary

• Fluency and Strategies within 10 Vocabulary

Lesson 1: Add 0

• Lesson 2.1 Add 0
• Add 0 Practice 2.1

Lesson 2 Subtract 0 and Subtract All

• Lesson 2.2 Subtract 0 and Subtract All
• Subtract 0 and Subtract All Practice 2.2

Lesson 3: Add and Subtract 1

• Lesson 2.3 Add and Subtract 1
• Add and Subtract 1 Practice 2.3

Lesson 4: Add Doubles from 1 to 5

• Lesson 2.4 Add Doubles from 1 to 5
• Add Doubles from 1 to 5 Practice 2.4

Lesson 5: Use Doubles

• Lesson 2.5 Use Doubles
• Use Doubles Practice 2.5

Lesson 6: Add in Any Order

• Lesson 2.6 Add in Any Order
• Add in Any Order Practice 2.6

Lesson 7: Count on to Add

• Lesson 2.7 Count on to Add
• Count on to Add Practice 2.7

Lesson 8: Count Back to Subtract

• Lesson 2.8 Count Back to Subtract
• Count Back to Subtract Practice 2.8

Lesson 9: Use Addition to Subtract

• Lesson 2.9 Use Addition to Subtract
• Use Addition to Subtract Practice 2.9

Performance Task

• Fluency and Strategies within 10 Performance Task
• Fluency and Strategies within 10 Chapter Practice

Fluency and Strategies within 10 Vocabulary

Organize It

Review words:
addend
sum
difference

Use the review words to complete the graphic organizer.

Question 1.

Answer:

Explanation:
A number that is added to another number is known as an addend.
In this case, 3 and 4 are the addends.
Sum is the result of adding two numbers.
So, 3 + 4 = 7
7 is the result that means sum.

Question 2.

Answer:

Define It

Use your vocabulary cards to match.

Answer:

Explanation:
A number line can be defined as a straight line with numbers placed at equal intervals or segments along its length. A number line can be extended infinitely in any direction and is usually represented horizontally.
Count on is nothing the count that goes forward.
Count back is nothing but count that goes backward.

Lesson 2.1 Add 0

Explore and Grow

Use linking cubes to model each story.

There are 6 ducks in the pond. 0 ducks join them. How many ducks are in the pond flow?

____ ducks

Answer:
Number of ducks in pond = 6
Number of ducks joined= 0
Total number of ducks= 6+0=6 Ducks

Answer:
Number of ducks in pond = 0
Number of ducks joined= 8
Total number of ducks= 0+8=8 ducks

Show and Grow

Use the picture to write an equation.

Question 1.

Answer:
4 + 0 = 4

Explanation:
By seeing the above picture we say that one of the addend is 4 and another addend is 0.
Now add both the numbers
4 + 0 = 4
Thus the result is 4.

Question 2.

Answer:
0 + 1=1
Explanation:
From the above figure we notice 0 and 1 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
0 + 1 = 1
Thus the result is 1.

Question 3.

Answer:
0 + 6 = 6
Explanation:
From the above figure we notice 0 and 6 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
0 + 6 = 6
Thus the result is 6

Question 4.

Answer:
8 + 0 = 8
Explanation:
From the above figure we notice 0 and 8 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
8 + 0 = 8
Thus the result is 8.

Apply and Grow: Practice

Use the picture to write an equation.

Question 5.

Answer:
7 + 0 = 7
Explanation:
From the above figure we notice 0 and 7 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
7 + 0= 7
Thus the result is 7.

Question 6.

Answer:
0 + 10 = 10
Explanation:
From the above figure we notice 0 and 10 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
0 + 10 = 10
Thus the result is 10.

Question 7.
9 + 0 = _____
Answer:
9 + 0 = 9
Explanation:
From the above figure we notice 0 and 9 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
9 + 0 = 9
Thus the result is 9.

Question 8.
0 + 8 = ______
Answer:
0 + 8 = 8
Explanation:
From the above figure we notice 0 and 8 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
0 + 8 = 8
Thus the result is 8.

DIG DEEPER!
Find each sum. Think: What do you notice?

Question 9.
3 + 0 = ______
0 + 3 = ______
Answer:
3 + 0 = 3
0 + 3 = 3
We notice that any number added with 0 will be the same number.

Question 10.
0 + 6 = ______
6 + 0 = ______
Answer:
0 + 6 = 6
6 + 0 = 6
We notice that any number added with 0 will be the same number.

Question 11.
MP Logic
There are 7 penguins in all. How many penguins are inside the igloo?

Answer:
Total Number of penguins = 7
Number of penguins outside = 7
Number of penguins inside = x
x + 7 = 7
x = 0

Think and Grow: Modeling Real Life

There are no students at a bus stop. Then 9 students arrive. How many students are at the bus stop now?

Model:

Addition equation:

_________ students
Answer:

0 + 9 = 9
Number of students at bus stop = 9 students
Explanation:
From the above figure we notice 0 and 9 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
0 + 9 = 9
Thus the result is 9.

Show and Grow

Question 12.
Your friend does not have any tokens. You give your friend 7 tokens. How many tokens does your friend have now?
Model:

Addition equation:

__________ tokens
Answer:

0 + 7 = 7
Number of tokens with my friend = 7 tokens
Explanation:
From the above figure we notice 0 and 7 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
0 + 7 = 7
Thus the result is 7.

Add 0 Practice 2.1

Use the picture to write an equation.

Question 1.

________ + 0 = _________
Answer:
9 + 0 = 9
Explanation:
From the above figure we notice 0 and 9 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
9 + 0 = 9
Thus the result is 9.

Question 2.

________ + 0 = _________
Answer:
0 + 3 = 3
Explanation:
From the above figure we notice 0 and 3 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
0 + 3 = 3
Thus the result is 3

Question 3.
10 + 0 = ________
Answer:
10 + 0 = 10
Explanation:
From the above figure we notice 0 and 10 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
10 + 0 = 10
Thus the result is 10.

Question 4.
0 + 5 = _______
Answer:
0 + 5 = 5
Explanation:
From the above figure we notice 0 and 5 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
0 + 5 = 5
Thus the result is 5.

Question 5.
0 + 6 = _______
Answer:
0 + 6 = 6
Explanation:
From the above figure we notice 0 and 6 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
0 + 6 = 6
Thus the result is 6.

Question 6.
0 + 0 = _______
Answer:
0 + 0 =0
Explanation:
From the above figure we notice 0 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
0 + 0 = 0
Thus the result is 0.

Question 7.
DIG DEEPER!
Find each sum. Think: What do you notice?
7 + 0 = ______
0 + 7 = ______
Answer:
7 + 0 = 7
0 + 7 = 7
Explanation:
From the above figure we notice 0 and 1 are addends . Adding 0 to any number gives the sum as the number itself. If the order of the addends changes, the sum stays the same.Now add both the numbers
0 + 1 = 1
Thus the result is 1.

Question 8.
MP Logic
There are 8 students in all. How many students are inside the museum?

Answer:
Number of students = 8
Number of students out side the museum= 8
Number of students inside the museum=  x
x + 8 = 8
x = 0
Number of students inside the museum = 0

Question 9.
Modeling Real Life
There are no seals on the shore. Then 10 seals swim to the shore. How many seals are on the shore now?

__________ seals
Answer:

0 + 10 = 10
Number of seals on the shore = 0 + 10 = 10 seals
Explanation:
From the above figure we notice 0 and 10 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
0 + 10 = 10
Thus the result is 10.

Review & Refresh

Write the number of goldfish.

Question 10.

Answer:
1
Explanation:
As per above figure we notice only 1 goldfishes in the aquarium.

Question 11.

Answer:
3
Explanation:
As per above figure we notice 3 goldfishes in the aquarium.

Question 12.

Answer:
0
Explanation:
As per above figure we notice no goldfish in the aquarium.

Question 13.

Answer:
2
Explanation:
As per above figure we notice 2 goldfishes in the aquarium.

Lesson 2.2 Subtract 0 and Subtract All

Explore and Grow

Use linking cubes to model each story.

There are 5 beavers on the log. None of the beavers leave. How many beavers are left?

________ beavers
Answer:
Number of beavers = 5
Number of beavers leave= 0
Number of beavers Remaining = 5 – 0 = 5

There are 5 beavers on the log. All of the beavers leave. How many beavers are left?

_________ beavers

Answer:
Number of beavers = 5
Number of beavers left = 5
Number of beavers remaining =5 – 5 = 0

Show and Grow

Use the picture to write an equation.

Question 1.

_________ – 0 = ________
Answer:
2 – 0  = 2
Explanation:
From the above equation we notice 2 is minuend and 0 is subtrahend. Subtracting 0 from any number gives the number itself as the difference. Now subtract the 2 and 0
2 – 0 = 2
Thus the difference is 2

Question 2.

_________ – _________ = 0
Answer:
1 – 1 = 0
Explanation:
When a number is subtracted from itself the difference is always equal to 0.
Thus the difference is 0

Question 3.

_________ – 0 = _________
Answer:
4 – 0 = 4
Explanation:
From the above equation we notice 4 is minuend and 0 is subtrahend. Subtracting 0 from any number gives the number itself as the difference. Now subtract the 4 and 0
4 – 0 = 4
Thus the difference is 4

Question 4.

_________ – _________ = 0
Answer:
2 – 2 = 0
Explanation:
When a number is subtracted from itself the difference is always equal to 0.
Thus the difference is 0

Apply and Grow: Practice

Use the picture to write an equation.

Question 5.

_________ – 0 = _________

Answer:
8 – 0 = 8
Explanation:
From the above equation we notice 8 is minuend and 0 is subtrahend. Subtracting 0 from any number gives the number itself as the difference. Now subtract the 2 and 0
8 – 0 = 8
Thus the difference is 8

Question 6.

_________ – _________ = 0
Answer:
8 – 8 = 0
Explanation:
When a number is subtracted from itself the difference is always equal to 0.
Thus the difference is 0

Question 7.
5 – 5 = _______
Answer:
5 – 5 = 0

Explanation:
When a number is subtracted from itself the difference is always equal to 0.
Thus the difference is 0

Question 8.
6 – 0 = ________
Answer:
6 – 0 = 6
Explanation:
From the above equation we notice 6 is minuend and 0 is subtrahend Subtracting 0 from any number gives the number itself as the difference. Now subtract the 6 and 0
6 – 0 = 6
Thus the difference is 6

Question 9.
9 – 0 = ________
Answer:
9 – 0 = 9
Explanation:
From the above equation we notice 9 is minuend and 0 is subtrahend Subtracting 0 from any number gives the number itself as the difference. Now subtract the 9 and 0
9 – 0 = 9
Thus the difference is 9

Question 10.
7 – 7 = ________
Answer:
7 – 7 = 0
Explanation:
When a number is subtracted from itself the difference is always equal to 0.
Thus the difference is 0

Question 11.
MP Structure
Complete the equation. Then use the words to complete the sentence.

Words:
difference
number
subtract

4 – ______ = 4
When you ______ 0 from a number,  the ______ is that ______ .
Answer:
4 – 0 = 4
When you subtract 0 from a number,  the number is that difference.

Think and Grow: Modeling Real Life

Your friend has 7 pennies. You have 7 fewer pennies than your friend. How many do you have?

Draw a picture:

Subtraction equation:

_________ pennies
Answer:

Number of pennies with my friend = 7
Number of pennies with me  = x
x = 7 – 7 (7 fewer than my friend )
x = 0
Number of pennies with me = 0

Show and Grow

Question 12.
You have 6 pieces of chalk. You give all of your chalk to your friend. How many pieces do you have left?
Draw a picture:

Subtraction equation:

_________ pieces of chalk
Answer:

Number of chalks with me = 6
Number of chalks given to my friend = 6
Number of chalks remaining with me = 6 – 6 = 0

Subtract 0 and Subtract All Practice 2.2

Use the picture to write an equation.

Question 1.

________ – 0 = ________
Answer:
5 – 0 = 5

Question 2.

________ – _______ = 0
Answer:
5 – 5 = 0
Explanation:
When a number is subtracted from itself the difference is always equal to 0.
Thus the difference is 0

Question 3.
3 – 3 = _______
Answer:
3 – 3 = 0
Explanation:
When a number is subtracted from itself the difference is always equal to 0.
Thus the difference is 0

Question 4.
1 – 0 = _________
Answer:
1 – 0 = 1

Question 5.
1 – 1= _________
Answer:
1 – 1= 0
Explanation:
When a number is subtracted from itself the difference is always equal to 0.
Thus the difference is 0

Question 6.
7 – 0 = _________
Answer:
7 – 0 = 7

Question 7.
MP Structure
Complete the equation. Then use the words to complete the sentence.

Words:
difference
number
subtract

9 – ______ = 0
When you ______ a ______ from itself, the ______________ is 0.

Answer:
9 – 9 = 0
When you subtract a number from itself, the difference is 0

Question 8.
Modeling Real Life You have 4 stuffed animals. You give all of them to your friend. How many stuffed animals do you have left?

________ stuffed animals

Answer:
Number of stuffed animals  with me = 4
Number of stuffed animals given to my friend= 4
Number of stuffed animals remaining = 4 – 4 = 0

Review & Refresh

Write the number of dots you see on each domino. Then write the numbers in order.

Question 9.

Answer:

Question 10.

Answer:

Lesson 2.3 Add and Subtract 1

Explore and Grow

Use linking cubes to model each story.

There are 7 kids on the bench. 1 kid joins them. How many kids are on the bench flow?
__________ kids

Answer:
Number of kids = 7
Number of kids joined = 1
Total number of kids = 7 + 1 = 8

There are 8 kids on the bench. 1 kid leaves. How many kids are left?
__________ kids

Answer:
Number of kids = 8
Number of kids left = 1
Total number of kids = 8 – 1 = 7

Show and Grow

Use the picture to write an equation.

Question 1.

___________ – __________ = ___________
Answer:
7 – 1 = 6
Explanation:
From the above figure, we notice six people are playing and one person is leaving . so we get equation as
6 + 1 = 7 .
In Total we notice 7 people in the picture .

Question 2.

___________ + __________ = ___________
Answer:
7 + 1 = 8
Explanation:
From the above figure, we notice 7 people are playing and 1 person is joining. so we get equation as
7 + 1 = 8 .
In Total we notice 8 people in the picture .

Apply and Grow: Practice

Use the picture to write an equation.

Question 3.

___________ + __________ = ___________
Answer:
9 + 1 = 10
Explanation:
From the above picture we notice 9 people in the pool and 1 person is joining the pool. so total number of people in pool is 9 + 1 = 10 .
Thus Total people in the pool are 10 people.

Question 4.

___________ + __________ = ___________
Answer:
8 + 1 = 9
Explanation:
From the above picture we notice 8 people in the pool and 1 person is leaving the pool. so total number of people in the picture is 8 + 1 = 9 .
Thus Total people are 9 people.

Question 5.
5 – 1 = ________
Answer:
5 – 1 = 4
Explanation:
From the above equation we notice 5 is minuend and 1 is subtrahend.
Now subtract
5 – 1 = 4
Thus the difference is 4

Question 6.
6 + 1 = ________
Answer:
6 + 1 = 7
Explanation:
From the above figure we notice 6 and 1 are addends .Now add both the numbers
6 + 1 = 7
Therefore the sum is 7.

Question 7.
8 + 1 = ________
Answer:
8 + 1 = 9
Explanation:
From the above figure we notice 8 and 1 are addends .Now add both the numbers
8 + 1 = 9
Therefore the sum is 9.

Question 8.
7 – 1 = ________
Answer:
7 – 1 = 6
Explanation:
From the above equation we notice 7 is minuend and 1 is subtrahend.
Now subtract
7 – 1 = 6
Thus the difference is 6

DIG DEEPER!
Circle the problem with the greater sum or difference.
Question 9.
2 – 1                2 + 1
Answer:

Explanation:
from above equations we get
2 – 1 = 1 as difference and
2 + 1 = 3 as sum
now compare difference and sum
1 < 3
Therefore , 3 is greater than 1

Question 10.
5 + 1              6 – 1
Answer:

Explanation:
from above equations we get
6 –  1 = 5 as difference and
5 + 1 = 6 as sum
now compare difference and sum
6 > 5
Therefore , 6 is greater than 5

Question 11.
YOU BE THE TEACHER
Circle to show who is correct. Show how you know?
Answer:

Explanation:
when a given number is increased by 1 then we get the next number of that number, Also, we know that a next number of a number is called successor.
From the number line we can notice when 3 is added with 1 we get 4 as sum which is next number of 3.

Think and Grow: Modeling Real Life

You have 9 action figures. Newton has 1 more than you. Descartes has 1 fewer than you. Who has more, Newton or Descartes?

Equations:            Newton            Descartes

Who has more    Newton           Descartes
Answer:
Number of action figures with me= 9
Number of action figures with Newton = 9 + 1 = 10
Number of action figures with Descartes = 9 – 1 = 8
Newton has 2 more action figures than Descartes.

Show and Grow

Question 12.
You have 5 video games. Newton has 1 fewer than you. Descartes has 1 more than you. Who has fewer, Newton or Descartes?
Equations:            Newton            Descartes

Who has fewer?    Newton           Descartes
Answer:
Number of video games with me = 5
Number of video games with Newton  = 5 – 1 = 4
Number of video games with Descartes = 5 + 1 = 6
Newton has 2 fewer than Descartes.

Add and Subtract 1 Practice 2.3

Use the picture to write an equation.

Question 1.

___________ + ___________ = ___________
Answer:
5 + 1 = 6
Explanation:
From the above equation we notice 5 and 1 are addends .when a given number is increased by 1 then we get the next number of that number as sum, next number of 5 is 6
Now add both the numbers
5 + 1 = 6
Therefore the sum is 6.

Question 2.

___________ – ___________ = ___________
Answer:
5 – 1 = 4
Explanation:
when a number is reduced by 1, then we get the previous number of that number as difference.
previous number of 5 is 4 .
Therefore difference = 4

Question 3.
10 – 1 = ___________
Answer:
10 – 1 = 9
Explanation:
when a number is reduced by 1, then we get the previous number of that number as difference.
previous number of 10 is 9 .
Therefore difference = 9

Question 4.
7 + 1 = ___________
Answer:
7 + 1 = 8
Explanation:
From the above Equation we notice 7 and 1 are addends .when a given number is increased by 1 then we get the next number of that number as sum, next number of 7 is 8
Now add both the numbers
7 + 1 = 8
Therefore the sum is 8.

DIG DEEPER!
Circle the problem with the greater sum or difference.
Question 5.
4 – 1 4 + 1
Answer:

Explanation:
from above equations we get
4 – 1 = 3 as difference and
4 + 1 = 5 as sum
now compare difference and sum
3 < 5
Therefore , 5 is greater than 3

Question 6.
7 + 1 8 + 1
Answer:

Explanation:
from above equations we get
7 + 1 = 8 as sum and
8 + 1 = 9 as sum
now compare both the sums
8 < 9
Therefore , 9 is greater than 8

Question 7.
YOU BE THE TEACHER
Circle to show who is correct. Show how you know.

Answer:

Explanation:
when a number is reduced by 1, then we get the previous number of that number as difference.
previous number of 6 is 5 .
Therefore difference = 5

Question 8.
Modeling Real Life
You have 3 karate belts. Newton has I fewer than you. Descartes has I more than you. Who has fewer, Newton or Descartes?

Who has fewer?           Newton          Descartes
Answer:
Number of karate belts = 3
Number of belts with Newton = 3 – 1 = 2
Number of belts with Descartes = 3 + 1 = 4
Newton have 2 fewer belts than Descartes.

Review & Refresh

Question 9.
Use the picture to complete the number bond.

Answer:

Lesson 2.4 Add Doubles from 1 to 5

Explore and Grow

Use counters to model the story.

You have 3 balls. Your friend has 3 balls. How many balls are there in all?

Answer:

Explanation:
Here we have 2 groups . each group contains 3 balls.
So total number of groups = 2
Total number of balls  = 3 + 3 = 6

Show and Grow

Question 1.

___________ – ___________ = ___________
Answer:
4 – 4 = 0
Explanation:
When a number is subtracted from itself the difference is always equal to 0.
Thus the difference is 0

Question 2.

___________ + ___________ = ___________
Answer:
1 + 1 = 2
Explanation:
when a given number is increased by 1 then we get the next number of that number, Also, we know that a next number of a number is called successor.
The next number of 1 is 2.

Question 3.

Answer:

Explanation:
From the above figure we notice 4 are addends .Now add both the numbers
4 + 4 = 8
Therefore the sum is 8.

Question 4.

Answer:

Explanation:
From the above figure we notice 3 are addends .Now add both the numbers
3 + 3 = 6
Therefore the sum is 6.

Apply and grow: Practice

Question 5.

Answer:

Explanation:
From the above figure we notice 5 are addends .Now add both the numbers
5 + 5 = 10
Therefore the sum is 10.

Question 6.

Answer:
2 + 2 = 4
2 – 2 = 0
Explanation:
When a number is subtracted from itself the difference is always equal to 0.
Thus the difference is 0

Question 7.
2 + 2 = ______
Answer:
2 + 2 = 4
Explanation:
From the above figure we notice 2 are addends .Now add both the numbers
2 + 2 = 4
Therefore the sum is 4.

Question 8.
5 + 5 = _______
Answer:
5 + 5 = 10
Explanation:
From the above figure we notice 5 are addends .Now add both the numbers
5 + 5 = 10
Therefore the sum is 10.

Question 9.

Answer:

Explanation:
From the above figure we notice 3 are addends .Now add both the numbers
3 + 3 = 6
Therefore the sum is 6.

Question 10.

Answer:

Explanation:
From the above figure we notice 4 are addends .Now add both the numbers
4 + 4 = 8
Therefore the sum is 8.

Question 11.
DIG DEEPER!
Circle the equations you can complete using doubles.
________ + ________ =               6 ________ + ________ = 5

________ + ________ =               9 ________ + ________ = 2
Answer:

Think and Grow: Modeling Real Life

You and your friend color the same number of pictures. There are to pictures in all. How many pictures do you each color?

Draw a Picture:

Addition equation:

__________ pictures

Show and Grow

Question 12.
You and your friend have the same number of flowers. There are 8 flowers in all. How many flowers do you each have?
Draw a picture:

Addition equation:

________ flowers
Answer:

Number of flowers with me = x
Number of flowers with my friend = x
Total number of flowers = 8
x + x = 8
4 + 4 = 8.

Add Doubles from 1 to 5 Practice 2.4

Question 1.

___________ + ___________ = ___________
Answer:
4 + 4 = 8

Question 2.

Answer:

Explanation:
From the above figure we notice 3 are addends .Now add both the numbers
3 + 3 = 6
Therefore the sum is 6.

Question 3.
2 + 2 = ________
Answer:
2 + 2 = 4
Explanation:
From the above figure we notice 2 are addends .Now add both the numbers
2 + 2 = 4
Therefore the sum is 4.

Question 4.
4 + 4 = _________
Answer:
4 + 4 = 8
Explanation:
From the above figure we notice 4 are addends .Now add both the numbers
4 + 4 = 8
Therefore the sum is 8.

Question 5.

Answer:

Explanation:
From the above figure we notice 5 are addends .Now add both the numbers
5 + 5 = 10
Therefore the sum is 10.

Question 6.

Answer:

Explanation:
From the above figure we notice 3 are addends .Now add both the numbers
3 + 3 = 6
Therefore the sum is 6.

Question 7.
DIG DEEPER!
Circle the equations you can complete using doubles.
_________ + _________ = 3            _________ + _________= 8

_________ + _________ = 4            _________ + _________ = 7
Answer:

Question 8.
Modeling Real Life
Newton and Descartes each have the same number of linking cubes. There are 6 linking cubes in all. How many linking cubes do Newton and Descartes have?

________ linking cubes
Answer:
Total Number of linking cubes = 6.
Newton and Descartes each have the same number of linking cubes
Each have 3 linking cubes
3 + 3 = 6.
Newton and Descartes each have 3 linking cubes.

Review & Refresh

Use the picture to write an equation.

Question 9.

___________ + ___________ = ___________
Answer:
2 + 3 = 5
Explanation:
we notice 2 hippos in the mud and 3 hippos came to join them.
so total number of hippos are add 2 and 3
Total number of hippos = 2 + 3 = 5

Question 10.

___________ + ___________ = ___________
Answer:
4 + 5 = 9
Explanation:
We notice 4 zebras eating grass and 5 zebras joining them
so total number of zebras are add 4 and 5
Total number of zebras = 4 + 5 = 9

Lesson 2.5 Use Doubles

Explore and Grow

Use counters to model the story.

You collect 4 shells. Your friend collects 4 shells. How many shells are there in all?

____ shells

Answer:
Number of shells with me = 4
Number of shells with my friend= 4
Total Number of shells = 4 + 4 = 8

You collect 4 shells. Your friend collects 5 shells. How many shells are there in all?

____ shells

Answer:
Number of shells with me = 4
Number of shells with my friend= 5
Total Number of shells = 4 + 5 = 9

Show and Grow

Use the double 3 + 3 to find each sum.

Question 1.
3 + 4 = ______

Answer:
3 + 3 + 1 = 7

Answer:
3 + 3 – 1 = 5

Apply and Grow: Practice

Use the double 2 + 2 to find each sum.

Question 2.
2 + 3 = ______

Answer:
2 + 2 + 1 =5

2 + 1 = ______

Answer:
2 + 2 – 1 = 3

Find the sum. Write the double you used.

Question 3.

Answer:
3 + 4 = 7
3 + 3 + 1 = 6 + 1 = 7

Question 4.

Answer:

Question 5.
MP Number Sense
Use each card once to write two addition equations.

Answer:
2 + 2 = 4
2 + 3 = 5

Think and Grow: Modeling Real Life

You eat 4 grapes. Your friend eats I more than you. How many grapes do you and your friend eat in all?

Which doubles can you use to find the sum?
4 + 4              5 + 5                3 + 3
Addition equation:

__________ grapes
Answer:
Number of grapes ate by me = 4
Number of grapes ate by my friend = 4 + 1
Number of grapes eaten = 4 + 4 + 1 = 9
4 + 4 is used to find the sum

Show and Grow

Question 6.
You have 5 toy cars. Your friend has I fewer than you. How many cars do you and your friend have in all?

Which doubles can you use to find the sum?
4 + 4            6 + 6              5 + 5
Addition equation:

_________ toy cars
Answer:
Number of toy cars with me = 5
Number of toy cars with my friend = 5 – 1
Total Number of cars = 5 + 5 – 1 = 10 – 1 = 9

Use Doubles Practice 2.5

Use the double 4 + 4 to find each sum.

Question 1.
4 + 5 = _______

Answer:
4 + 4 + 1 = 8 + 1 = 9

4 + 3 = _______

Answer:
4 + 4 – 1 = 8 – 1 = 7

Find the sum. Write the double you used.

Question 2.

Answer:
1 + 1 = 2
1 + 2 = 3

Question 3.

Answer:
1 + 1 = 2
3 + 2 = 5

Question 4.
Number Sense
Use each card once to write two addition equations.

Answer:
2 + 3 = 5
3 + 3 = 6

Question 5.
Modeling Real Life
Newton catches 2 butterflies. Descartes catches I more than Newton. How many butterflies do Newton and Descartes catch in all?

Which doubles can you use to find the sum?
3 + 3              1 + 1              2 + 2

_________ butterflies
Answer:
Number of butterflies with Newton = 2
Number of butterflies with Descartes = 2 + 1.
Total number of butterflies both caught = 2 + 2 + 1 = 4 + 1 = 5

Review & Refresh

Question 6.
Circle the model that shows the missing number.
2 + ______ = 5

Answer:
2 + 3 = 5

Lesson 2.6 Add in Any Order

Explore and Grow

Use counters to model each problem. What do you notice?

4 + 3 = ____7_____

3 + 4 = ___7______

Show and Grow

Question 1.

_________ + _________ = _________
Answer:
2 + 4 = 6
Explanation:
From the above figure we notice 2 and 4 are addends .Now add both the numbers
2 + 4 = 6
Whatever may be the order of addends the sum is always the same.
Therefore the sum is 6

_________ + _________ = _________
Answer:
4 + 2 = 6
Explanation:
From the above figure we notice 2 and 4 are addends .Now add both the numbers
2 + 4 = 6

Question 2.Whatever may be the order of addends the sum is always the same.
Therefore the sum is 6

_________ + _________ = _________
Answer:
7 + 1 = 8
Explanation:
when a given number is increased by 1 then we get the next number of that number as sum.
The next number of 7 is 8 as sum.
Whatever may be the order of addends the sum is always the same.
Therefore the sum is 8

_________ + _________ = _________
Answer:
1 + 7 = 8
Explanation:
when a given number is increased by 1 then we get the next number of that number as sum.
The next number of 7 is 8 as sum.
Whatever may be the order of addends the sum is always the same.
Therefore the sum is 8

Question 3.

Answer:

2 + 3 = 5
Explanation:
From the above figure we notice 2 and 3 are addends .Now add both the numbers
2 + 3 = 5
Whatever may be the order of addends the sum is always the same.
Therefore the sum is 5

Answer:

Explanation:
From the above figure we notice 2 and 3 are addends .Now add both the numbers
3 + 2 = 5
Whatever may be the order of addends the sum is always the same.
Therefore the sum is 5

Apply and Grow: Practice

Question 4.

_________ + _________ = _________
Answer:
7 + 3 = 10
Explanation:
From the above figure we notice 7 and 3 are addends .Now add both the numbers
7 + 3 = 10
Whatever may be the order of addends the sum is always the same.
Therefore the sum is 10

_________ + _________ = _________
Answer:
3 + 7 = 10
Explanation:
From the above figure we notice 3 and 7 are addends .Now add both the numbers
3 + 7 = 10
Whatever may be the order of addends the sum is always the same.
Therefore the sum is 10

Find the sum. Then change the order of the addends. Write the new addition problem.

Question 5.

Answer:

Explanation:
From the above figure we notice 1 and 4 are addends .Now add both the numbers
1 + 4 = 5 or 4 + 1 = 5
Whatever may be the order of addends the sum is always the same.
Therefore the sum is 5

Question 6.

Answer:

Explanation:
From the above figure we notice 5 and 2 are addends .Now add both the numbers
5 + 2 = 7 or 2 + 5 = 7
Whatever may be the order of addends the sum is always the same.
Therefore the sum is 7

Question 7.

Answer:
2 + 6 = 8
6 + 2 = 8
Explanation:
From the above figure we notice 6 and 2 are addends .Now add both the numbers
6 + 2 = 8 or 2 + 6 = 8
Whatever may be the order of addends the sum is always the same.
Therefore the sum is 8

Question 8.

Answer:
9 = 8 + 1
9 = 1 + 8
Explanation:
From the above figure we notice 8 and 1 are addends .Now add both the numbers
8 + 1 = 9 or 1 + 8 = 9
Whatever may be the order of addends the sum is always the same.
Therefore the sum is 9

Question 9.
MP Number Sense
Use the numbers shown to write two addition equations.

Answer:
4 + 5 = 9
5 + 4 = 9
Explanation:
From the above figure we notice 4 and 5 are addends .Now add both the numbers
4 + 5 = 9 or 5 + 4 = 9
Whatever may be the order of addends the sum is always the same.
Therefore the sum is 9

Think and Grow: Modeling Real Life

You have 7 shirts. 3 are green. The rest are blue. How many blue shirts do you have?

Which equations describe your shirts?
3 + 4 = 7            3 + 7 = 10
7 + 3 = 10          4 + 3 = 7
Show how you know:

You have ____ blue shirts.
Answer:
Number of green shirts = 3
Number of blue shirts  =  X
Total number of shirts = 7
3 + X = 7
X = 7 – 3 = 4
Number of blue shirts = 4
Equation: 3 + 4 = 7 or 4 + 3 = 7

Show and Grow

Question 10.
You have 5 cups. 2 are yellow. The rest are red. How many red cups do you have?

Which equations describe your cups?
5 + 2 = 7               2 + 3 = 5
2 + 5 = 7               3 + 2 = 5
Show how you know:

You have ____ red cups.
Answer:
Number of red cups = x
Number of yellow cups = 2
Total number of cups = 5
x + 2 = 5
x = 5 – 2 = 3
Number of red cups = 3
Equation : 3 + 2 = 5 or 2 + 3 = 5

Add in Any Order Practice 2.6

Question 1.

Answer:

Explanation:
From the above figure we notice 3 and 4 are addends .Now add both the numbers
3 + 4 = 7 or 4 + 3 = 7
Whatever may be the order of addends the sum is always the same.
Therefore the sum is 7

Question 2.

Answer:
7 + 2 = 9

Answer:
2 + 7 = 9
Explanation:
From the above figure we notice 2 and 7 are addends .Now add both the numbers
2 + 7= 9 or 7 + 2 = 9
Whatever may be the order of addends the sum is always the same.
Therefore the sum is 9

Find the sum. Then change the order of the addends. Write the new addition problem.

Question 3.

Answer:

Explanation:
From the above figure we notice 6 and 4 are addends .Now add both the numbers
6 + 4 = 10 or 4 + 6 = 10
Whatever may be the order of addends the sum is always the same.
Therefore the sum is 10

Question 4.

Answer:
6 = 5 + 1
6 = 1 + 5
Explanation:
From the above figure we notice 6 and 4 are addends .Now add both the numbers
5 + 1 = 6 or 1 + 5 = 6
when a given number is increased by 1 then we get the next number of that number as sum
Whatever may be the order of addends the sum is always the same.
Therefore the sum is 6

Question 5.
MP Number Sense
Use the numbers shown to write two addition equations.

Answer:
2 + 8 = 10
8 + 2 = 10
Explanation:
From the above equations we notice 2 and 8 are addends .Now add both the numbers
2 + 8 = 10 or 8 + 2 = 10
Whatever may be the order of addends the sum is always the same.
Therefore the sum is 10

Question 6.
Modeling Real Life
You have 7 tomatoes. 2 are red. The rest are yellow. How many yellow tomatoes do you have?

Which equations describe your tomatoes?
2 + 5 = 7 5 + 2 = 7
7 + 2 = 9 2 + 7 = 9
Show how you know:

You have _______ yellow tomatoes.
Answer:
Total number of tomatoes = 7
Number of red tomatoes = 2
Number of yellow tomatoes = x
Explanation:
7 = 2 + x
x = 7 – 2 = 5
Number of yellow tomatoes = 5
Equations: 2 + 5 = 7 or 5 + 2 = 7

Review & Refresh

Use the ten frame to complete the equation.

Question 7.

5 + _______ = 8
Answer:
5 + 3 = 8
Explanation:
From the above equation we notice to get 8 as sum what should be added for 5
if we add 3 to 5 we get 8 as sum.
Therefore 5 + 3 = 8 .

Question 8.

5 + ________ = 10
Answer:
5 + 5 = 10
Explanation:
From the above equation we notice to get 10 as sum what should be added for 5
if we add 5 to 5 we get 10 as sum.
Therefore 5 + 5 = 10 .

Lesson 2.7 Count on to Add

Explore and Grow

Model the story.

There are 5 coins in a piggy bank. You put in 2 more. How many coins are in the bank now?

Answer:

Number of coins in piggy bank = 5
Number of coins added = 2
Total coins = 5 + 2 = 7.

Show and Grow

Question 1.
7 + 2 = _________

Answer:
7 + 2 = 9

Explanation:
Count on method to add numbers. To add 7 and 2, start from 7 and count on 2 steps to arrive at the sum (9).

Question 2.
3 + 1 = ________

Answer:
3 + 1 = 4

Explanation:
Count on method to add numbers. To add 3 and 1, start from 3 and count on 1 step to arrive at the sum (4).

Question 3.
4 + 6 = ________

Answer:
4 + 6 = 10

Explanation:
Count on method to add numbers. To add 4 and 6, start from 4 and count on 6 steps to arrive at the sum (10).

Question 4.
0 + 5 = ________

Answer:
0 + 5 = 5

Explanation:
Count on method to add numbers. To add 0 and 5, start from 0 and count on 5 steps to arrive at the sum (5).

Apply and Grow: practice

Question 5.
4 + 2 = _________

Answer:
4 + 2 = 6

Explanation:
Count on method to add numbers. To add 4 and 2, start from 4 and count on 2 steps to arrive at the sum (6).

Question 6.
6 + 1 = ________

Answer:
6 + 1 = 7

Explanation:
Count on method to add numbers. To add 6 and 1, start from 6 and count on 1 step to arrive at the sum (7).

Question 7.

Answer:

Explanation:
From the above figure we notice 5 and 4 are addends .Now add both the numbers
5 + 4 = 9
Therefore the sum is 9.

Question 8.

Answer:

Explanation:
From the above figure we notice 3 and 2 are addends .Now add both the numbers
3 + 2 = 5
Therefore the sum is 5.

Question 9.
________ = 0 + 7
Answer:
7 = 0 + 7
Explanation:
From the above figure we notice 0 and 7 are addends . Adding 0 to any number gives the sum as the number itself.Now add both the numbers
0 + 7 = 7
Thus the result is 7.

Question 10.
________ = 2 + 8
Answer:
10 = 2 + 8
Explanation:
From the above figure we notice 8 and 2 are addends .Now add both the numbers
2 + 8 = 10
Therefore the sum is 10.

Question 11.
DIG DEEPER!
Tell what problems Newton and Descartes solved. Think: How are the problems the same? How are they different?

Answer:

Think and Grow: Modeling Real Life

You and your friend are on a scavenger hunt. You find 3 clues. You and your friend find 8 clues in all. How many clues does your friend find?

Model:

______ clues
Answer:
Number of clues with me = 3
Number of clues with my friend = x
Total number of clues = 8
Explanation:
3 + x = 8
x = 8 – 3 = 5
Number of clues with my friend = 5
Equation: 3 + 5 = 8

Explanation:
Count on method to add numbers. To add 3 and 5 start from 3 and count on 5 steps to arrive at the sum (8).

Show and Grow

Question 12.
Your friend collects 4 cans. You and your friend collect 10 cans in all. How many cans do you collect?
Model:

________ cans
Answer:
Number of cans with my friend = 4
Total number of cans = 10
Number of cans with me  = X
Explanation:
4 + X = 10
X= 10 – 4 = 6
Number of cans with me = 6
Equation: 4 + 6 = 10

Explanation:
Count on method to add numbers. To add 4 and 6, start from 4 and count on 6 steps to arrive at the sum (10).

Count on to Add Practice 2.7

Question 1.
4 + 3 = ________

Answer:
4 + 3 = 7

Explanation:
Count on method to add numbers. To add 4 and 3 start from 3 and count on 3 steps to arrive at the sum (7).

Question 2.
8 + 1 = ________

Answer:
8 + 1 = 9

Explanation:
Count on method to add numbers. To add 8 and 1 start from 8 and count on 1 step to arrive at the sum (9).

Question 3.
6 + 2 = ________

Answer:
6 + 2 = 8

Explanation:
Count on method to add numbers. To add 6 and 2 start from 6 and count on 2 steps to arrive at the sum (8).

Question 4.
7 + 3 = ________

Answer:
7 + 3 = 10

Explanation:
Count on method to add numbers. To add 7 and 3 start from 7 and count on 3 steps to arrive at the sum (10).

Question 5.

Answer:

Explanation:
From the above figure we notice 0 and 9 are addends . Adding 0 to any number gives the sum as the number itself.Now add both the numbers
0 + 9 = 9
Thus the result is 9.

Question 6.
______ = 1 + 5
Answer:
6 = 1 + 5
Explanation:
when a given number is increased by 1 then we get the next number of that number as sum.
The next number of 5 is 6
Therefore sum = 6 .

Question 7.
DIG DEEPER!
Tell what problems Newton and Descartes solved. Think: How are the problems the same? How are they different?

Answer:
Both the problems are the same .
sum is the same only the order of the addends are different .
Newton have 3 and 4 as addends 3 added to 4 whereas in Descartes the 4 is added to 3. whatever may be the order of addends the sum will always be the same .

Question 8.
Modeling Real Life
You have 4 coins. You and your friend have 9 coins in all. How many coins does your friend have?

__________ coins
Answer:
Number of coins with me = 4
Number of coins with my friend = X
Total coins = 9
Explanation:
4 + X = 9
X = 9 -4 = 5
Number of coins with my friend = 5
Equation : 4 + 5 = 9

Explanation:
Count on method to add numbers. To add 4 and 5 start from 4 and count on 5 steps to arrive at the sum (9).

Review & Refresh

Use the picture to write an equation.

Question 9.

Answer:
4 – 1 = 3
Explanation:
when a number is reduced by 1, then we get the previous number of that number as difference.
previous number of 4 is 3 .
Therefore difference = 3

Question 10.

Answer:
5 – 3 = 2
Explanation:
From the above equation we notice 5 is minuend and 3 is subtrahend.
Now subtract
5 – 3 = 2
Thus the difference is 2

Lesson 2.8 Count Back to Subtract

Explore and Grow

Model the story.

There are 8 students in a line. 2 of them leave. How many students are left?

Answer:
Number of students = 8
Number of students left = 2
Number of students remained in class = 8 – 2 = 6

Show and Grow

Question 1.
5 – 4 = _________

Answer:
5 – 4 = 1

Explanation:
Use the count back method to subtract.To subtract 4 from 5, one can start at 5 and count back 4 steps we get difference as 1.

Question 2.
7 – 3 = ________

Answer:
7 – 3 = 4

Explanation:
Use the count back method to subtract.To subtract 3 from 7, one can start at 7 and count back 3 steps we get difference as 4.

Question 3.
6 – 1 = _________

Answer:
6 – 1 = 5

Explanation:
Use the count back method to subtract.To subtract 1 from 6, one can start at 6 and count back 1 step we get difference as 5.

Question 4.
10 – 8 = ________

Answer:
10 – 8 = 2

Explanation:
Use the count back method to subtract.To subtract 8 from 10, one can start at 10 and count back 8 steps we get difference as 2.

Apply and Grow: Practice

Question 5.
10 – 6 = _________

Answer:
10 – 6 = 4

Explanation:
Use the count back method to subtract.To subtract 6 from 10, one can start at 10 and count back 6 steps we get difference as 4.

Question 6.
9 – 3 = _________

Answer:
9 – 3 = 6

Explanation:
Use the count back method to subtract.To subtract 3 from 9, one can start at 9 and count back 3 steps we get difference as 6.

Question 7.

Answer:

Explanation:
From the above equation we notice 5 is minuend and 2 is subtrahends. Now subtract the 5 and 2
5 – 2 = 3
Thus the difference is 3

Question 8.

Answer:

Explanation:
From the above equation we notice 8 is minuend and 0 is subtrahends Subtracting 0 from any number gives the number itself as the difference. Now subtract the 8 and 0
8 – 0 = 8
Thus the difference is 8

Question 9.
________ = 7 – 6
Answer:
1

Question 10.
_________ = 4 – 1
Answer:
3

Question 11.
MP Structure
Write the problem shown.

_________ – _________ = ________
Answer:
9 – 5 = 4
Explanation:
Use the count back method to subtract.To subtract 5 from 9, one can start at 9 and count back 5 steps we get difference as 4.

Think and Grow: Modeling Real Life

There are 5 students on one side of a table and 5 students on the other. 7 students leave. How many students are left?

Model:

__________ students
Answer:
Total Number of students = 5 + 5 = 10
Number of students left = 7
Remaining Number of students = 10 – 7 = 3

Explanation:
Use the count back method to subtract.To subtract 7 from 10, one can start at 10 and count back 7 steps we get difference as 3

Show and Grow

Question 12.
You have 4 board games and 4 card games. You give 3 games to your friend. How many games do you have left?
Model:

__________ games
Answer:
Total Number of games  = 4 + 4 = 8
Number of games given to my friend = 3
Remaining Number of games with me =8 – 3 = 5

Explanation:
Use the count back method to subtract.To subtract 3 from 8, one can start at 8 and count back 3 steps we get difference as 5

Count Back to Subtract Practice 2.8

Question 1.
5 – 4 = ________

Answer:
5 – 4 = 1

Explanation:
Use the count back method to subtract.To subtract 4 from 5, one can start at 5 and count back 4 steps we get difference as 1

Question 2.
8 – 3 = ________

Answer:
8 – 3 = 5

Explanation:
Use the count back method to subtract.To subtract 3 from 8, one can start at 8 and count back 3 steps we get difference as 5

Question 3.
9 – 1 = ________
Answer:
9 – 1 = 8
Explanation:
when a number is reduced by 1, then we get the previous number of that number as difference.
previous number of 9 is 8 .
Therefore difference = 8

Question 4.
6 – 2 = ________
Answer:
6 – 2 = 4
Explanation:
From the above equation we notice 6 is minuend and 2 is subtrahend.
Now subtract
6 – 2 = 4
Thus the difference is 4

Question 5.

Answer:

Explanation:
From the above equation we notice 7 is minuend and 5 is subtrahend.
Now subtract
7 – 5 = 2
Thus the difference is 2

Question 6.
__________ = 10 – 5
Answer:
5
Explanation:
From the above equation we notice 10 is minuend and 5 is subtrahend.
Now subtract
10 – 5 = 5
Thus the difference is 5

Question 7.
MP Structure
Write the problem shown.

__________ – _________ = _________
Answer:
9 – 7= 2
Explanation:
Use the count back method to subtract.To subtract 7 from 9, one can start at 9 and count back 7 steps we get difference as 2

Question 8.
Modeling Real Life
You have 4 star stickers and 4 heart stickers. You give 6 away. How many stickers do you have left?

__________ stickers
Answers:
Total Number of stickers = 4 + 4 = 8
Number of stickers given away = 6
Remaining number of stickers = 8 – 6 = 2

Explanation:
Use the count back method to subtract.To subtract 6 from 8, one can start at 8 and count back 6 steps we get difference as 2

Review & Refresh

Question 9.
Use the pictures to write the related equations.

Answer:

Lesson 2.9 Use Addition to Subtract

Explore and Grow

Use counters to model each problem.

4 + ___3___ = 7

7 – 4 = __3___

Show and Grow

Question 1.
5 – 4 = ?

Think 4 + ______ = 5
So, 5 – 4 = _______ .
Answer:

Think 4 + 1 = 5
So, 5 – 4 = 1 .

Question 2.
6 – 3 = ?

Think 3 + ______ = 6
So, 6 – 3 = _______ .
Answer:

Think 3 + 3 = 6
So, 6 – 3 = 3 .

Apply and Grow: Practice

Question 3.
8 – 4 = ?

Think 4 + ______ = 8.
So, 8 – 4 = _______ .
Answer:

Think 4 + 4 = 8.
So, 8 – 4 = 4 .

Question 4.
7 – 5 = ?

Think 5 + ______ = 7.
So, 7 – 5 = _______ .
Answer:

Think 5 + 2 = 7.
So, 7 – 5 = 2 .

Question 5.
6 – 4 = ?

Think ______ + ______ = 6.
So, 6 – 4 = _______ .
Answer:

Think 2+ 4 = 6.
So, 6 – 4 = 2 .

Question 6.
9 – 6 = ?

Think ______ + ______ = 9.
So, 9 – 6 = _______ .
Answer:

Think 3 + 6 = 9.
So, 9 – 6 =  3 .

Question 7.
YOU BE THE TEACHER
There are 8 goats. 2 of them leave. Newton uses addition to tell how many goats are left. Is he correct? Show how you know.

Answer:
No, we have to subtract when goats leaves not addition.
8 – 2 = 6

Think and Grow: Modeling Real life

There are 10 puppies. 7 are brown. The rest are yellow. How many puppies are yellow?

Model:

Subtraction equation:

_________ puppies
Answer:
Total number of puppies = 10
Number of brown puppies = 3
Number of yellow puppies = 10 – 3 = 7

Show and Grow

Question 8.
There are 8 eggs. I of them hatches. How many eggs still need to hatch?
Model:

Subtraction equation:

__________ eggs
Answer:
Total number of eggs = 8
Number of eggs hatched = 1.
Numbers of eggs left for hatching = 8 – 1 = 7

Use Addition to Subtract Practice 2.9

Question 1.
3 – 2 = ?

Think 2 + ______ = 3.
So, 3 – 2 = _______ .
Answer:

Think 2 + 1 = 3.
So, 3 – 2 = 1

Question 2.
10 – 5 = ?

Think 5 + ______ = 10.
So, 10 – 5 = _______ .
Answer:

Think 5 + 5 = 10.
So, 10 – 5 = 5

Question 3.
9 – 5 = ?

Think ______ + ______ = ______.
So, 9 – 5 = _______ .
Answer:

Think 4 + 5 = 9.
So, 9 – 5 = 4

Question 4.
7 – 6 = ?

Think ______ + ______ = ______.
So, 7 – 6 = _______ .
Answer:

Think 1 + 6 = 7.
So, 7 – 6 = 1

Question 5.
YOU BE THE TEACHER
There are 8 birds. 5 fly away. Descartes uses addition to tell how many birds are left. Is he correct? Show how you know.

Answer:
Numbers of birds = 8
Number of birds flew = 5
Remaining number of birds = 8 – 5 = 3
Descartes is wrong we need to subtract not addition .

Question 6.
Modeling Real Life There are 9 kittens. 7 are adopted. How many kittens still need to be adopted?

_______ kittens
Answer:
Total Number of kittens = 9
Number of kittens  adopted = 7
Number of kittens remaining for adoption = 9 – 7 = 2

Review & Refresh

Question 7.
You have 5 and 2 How many dice do you have in all?

_________ + _________ = ________ dice
Answer:

5 + 2 = 7
Number of red dices = 5
Number of blue dices = 2
Total dices = 5 + 2 = 7

Fluency and Strategies within 10 Performance Task

Question 1.
You plant 4 red flower seeds and 4 yellow flower seeds. Your friend plants 5 red flower seeds and 4 yellow flower seeds.

a. I of your yellow seeds does not grow. How many of your flowers grow?

_________ flowers
Answer:
Total number flower seeds = 4 + 4 = 8
Number of yellow seeds didn’t grow = 1
Number of your flowers grown = 8 – 1 = 7

b. 3 of your friend’s red seeds do not grow. How many of your friend’s flowers grow?

________ flowers
Answer:
Total number of my friends flowers = 5 + 4 = 9 (red and yellow )
Number of red seeds didn’t grow of my friend’s = 3
Number of your flowers grown of my friend’s= 9 – 3 = 6

c. Who has more flowers?

You       Friend

Answer: I have more flowers

d. How many more red flowers do you have than your friend?

_______ flowers
Answer:
I have 4 red flowers
My friend 2 red flowers (5 – 3 )

Fluency and Strategies within 10 Chapter Practice

Add 0 Homework & Practice 2.1

Use the picture to write an equation.

Question 1.

_______ + 0 = ________
Answer:
2 + 0 = 2
Explanation:
From the above figure we notice 2 and 0 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
2 + 0 = 0
Thus the result is 2.

Question 2.

0 + _______ = ________
Answer:
0 + 5 = 5
Explanation:
From the above figure we notice 5 and 0 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
5 + 0 = 0
Thus the result is 5.

Question 3.
7 + 0 = ________
Answer:
7 + 0 = 7
Explanation:
From the above figure we notice 7 and 0 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
7 + 0 = 0
Thus the result is 7.

Question 4.
0 + 6 = ________
Answer:
0 + 6 = 6
Explanation:
From the above figure we notice 6 and 0 are addends . Adding 0 to any number gives the sum as the number itself. Now add both the numbers
6 + 0 = 0
Thus the result is 6.

Subtract 0 and Subtract All Homework & Practice 2.2

Use the picture to write an equation.

Question 5.

________ – 0 = ________
Answer:
7 – 0 = 7
Explanation:
From the above equation we notice 7 is minuend and 0 is subtrahends Subtracting 0 from any number gives the number itself as the difference. Now subtract the 7 and 0
7 – 0 = 7
Thus the difference is 7

Question 6.

_________ – ________ = 0
Answer:
7 – 7 = 0
Explanation:
When a number is subtracted from itself the difference is always equal to 0.
Thus the difference is 0

Question 7.
9 – 9 = ______
Answer:
9 – 9 = 0
Explanation:
When a number is subtracted from itself the difference is always equal to 0.
Thus the difference is 0

Question 8.
8 – 0 = _______
Answer:
8 – 0 = 8
Explanation:
From the above equation we notice 8 is minuend and 0 is subtrahends Subtracting 0 from any number gives the number itself as the difference. Now subtract the 8 and 0
8 – 0 = 8
Thus the difference is 8

Add and Subtract I Homework & Practice 2.3

Use the picture to write an equation.

Question 9.

________ + ________ = _________
Answer:
8 + 1 = 9
Explanation:
As per the above picture , we can notice 8 people are playing and 1 more person joining them
So total number of people are 8 + 1 = 9
Total number of people = 9

Question 10.

________ – ________ = _________
Answer:
8 – 1 = 7
Explanation:
As per the above picture , we can notice 7 people are playing and 1 person leaving them
So total number of people are 7 – 1 = 6
Total number of people = 6

Question 11.
3 – 1 = ________
Answer:
3 – 1 = 2
Explanation:
when a number is reduced by 1, then we get the previous number of that number as difference.
previous number of 3 is 2 .
Therefore difference = 2

Question 12.
5 + 1 = ________
Answer:
5 + 1 = 6
Explanation:
when a given number is increased by 1 then we get the next number of that number as sum
Therefore the sum is 6

Add Doubles from 1 to 5 Homework & Practice 2.4

Question 13.

Answer:
2 + 2 = 4

Question 14.

Answer:

8 + 1 = 9

Question 15.
MP Reasoning
Circle the equations you can complete using doubles.
_________ + ________ = 10 _________ + ________ = 3

_________ + ________ = 6 _________ + ________ = 7
Answer:

Use Doubles Homework & Practice 2.5

Use the doubles 2 + 2 to find each sum.

Question 16.
2 + 3 = _______

Answer:
2 + 3 = 5
2 + 2 + 1 = 5

2 + 1 = _______

Answer:
2 + 1 =3
2 + 2 – 1 = 3

Find the sum. Write the double you used.

Question 17.

Answer:
4 + 5 = 9
5 + 4 = 9

Question 18.

Answer:

Add in any Order Homework & Practice 2.6

Question 19.

_______ + ______ = ______
Answer:
5 + 2 = 7

_______ + ______ = ______
Answer:
2 + 5 = 7

Question 20.
MP Number Sense
Use the numbers shown to write two addition equations.

Answer:
3 + 6 = 9
6 + 3 = 9

Count on to Add Homework & Practice 2.7

Question 21.

5 + 2 = _________
Answer:
5 + 2 = 7

Explanation:
Count on method to add numbers. To add 5 and 2, start from 5 and count on 2 steps to arrive at the sum (7).

Question 22.

6 + 4 = __________
Answer:
6 + 4 = 10

Explanation:
Count on method to add numbers. To add 6 and 4, start from 6 and count on 4 steps to arrive at the sum (10).

Count Back to Subtract Homework & Practice 2.8

Question 23.

9 – 7 = __________
Answer:
9 – 7 = 2

Explanation:
Use the count back method to subtract.To subtract 7 from 9, one can start at 9 and count back 7 steps we get difference as 2

Question 24.

10 – 5 = _________
Answer:
10 – 5 = 5

Explanation:
Use the count back method to subtract.To subtract 10 from 5, one can start at 10 and count back 5 steps we get difference as 5

Use Addition to Subtract Homework & Practice 2.9

Question 25.
5 – 3 = ?

Think 3 + ______ = 5.
So, 5 – 3 = ______.
Answer:

Think 3 + 2 = 5.
So, 5 – 3 = 2

Question 26.
9 – 8 =?

Think 8 + ______ = 9.
So, 9 – 8 = ______.
Answer:

Think 8 + 1 = 9.
So, 9 – 8 = 1

Conclusion:

Follow Big Ideas Math Grade 1 Answers for the strong foundation. Move with every step of solving the process to solve your problems easily. Get the pdfs of all Big Ideas Math Grade 1 Chapters @bigideasmathanswer.com

Download pdf link of Elementary school Big Ideas Math Answers Grade K Chapter 6 Add Numbers within 10 is available here. So, the Grade K students who are looking for the Bigideas Math Answer Key 6th Chapter Add Numbers within 10 can Download them from this page. Parents and teachers who feel difficult to teach their children math concepts can make use of Big Ideas Math Answers Grade K Chapter 6 Add Numbers within 10. Understand the concepts of addition and solve the questions in a simple way.

Big Ideas Math Book Grade K Answer Key Chapter 6 Add Numbers within 10

The addition is the most basic and important concept in maths. If you want to become a master in maths it is necessary for elementary school students to learn the basics. Make use of the Big Ideas Math Book Grade K Answer Key Chapter 6 Add Numbers within 10 pdf link to complete your assignment in time. Many different types of problems can be represented by addition or subtraction. The topics covered in this chapter are Understand Addition, Addition: Add To, Addition: Put Together, and so on.

• Add Numbers within 10 Vocabulary

Lesson: 1 Understand Addition

• Lesson 6.1 Understand Addition
• Understand Addition Homework & Practice 6.1

Lesson: 2 Addition: Add To

• Lesson 6.2 Addition: Add To
• Addition: Add To Homework & Practice 6.2

Lesson: 3 Addition: Put Together

• Lesson 6.3 Addition: Put Together
• Addition: Put Together Homework & Practice 6.3

Lesson: 4 Addition: Partner Numbers

• Lesson 6.4 Addition: Partner Numbers
• Addition: Partner Numbers Homework & Practice 6.4

Lesson: 5 Addition Number Patterns

• Lesson 6.5 Addition Number Patterns
• Addition Number Patterns Homework & Practice 6.5

Lesson: 6 Practice Addition

• Lesson 6.6 Practice Addition
• Practice Addition Homework & Practice 6.6

Lesson: 7 Use a Group of 5 to Add

• Lesson 6.7 Use a Group of 5 to Add
• Use a Group of 5 to Add Homework & Practice 6.7

Lesson: 8 Add to Make 10

• Lesson 6.8 Add to Make 10
• Add to Make 10 Homework & Practice 6.8

Chapter: 9 – Add Numbers within 10

• Add Numbers within 10 Performance Task
• Add Numbers within 10 Activity
• Add Numbers within 10 Chapter Practice

Add Numbers within 10 Vocabulary

Directions:
Name the parts and the whole for the group. Then complete the number bond.

Answer:

Explanation:
Number bond:
A number bond is a simple addition of two numbers that add up to give the sum. Using number bonds, one can instantly tell the answer without the need for the actual calculation.
Whole: Here we know that 7 is a whole number. The number 5 combines with other number 2 gives the result 7.
Parts: A number can be thought of as a whole made up of different pairs, or parts, added together.

Vocabulary Cards

Lesson 6.1 Understand Addition

Explore and Grow

Directions: Use counters to act out the story.

• There are 3 students on the bus. Write the number.
• 2 more students get on the bus. Write the number.
• Tell how many students are on the bus now.

Answer: 3 + 2 = 5

Explanation:
There are 3 students on the bus.
2 more students get on the bus.
Add both the numbers to know how many students are on the bus.
3 + 2 = 5

Think and Grow

Directions:
Complete the sentence to tell how many students are in the group to start, how many join, and how many there are in all.

Answer: 1 + 3 = 4

Explanation:
From the above figure we can see that there is 1 student playing in the ground.
Number of students joining are 3
1 + 3 = 4
Thus there are 4 students in all.

Apply and Grow: Practice

Directions:
1 – 3 Complete the sentence to tell how many students are in the group to start, how many join, and how many there are in all.

Question 1.

Answer: 4 + 1 = 5

Explanation:
From the above figure we can see that there are 4 students.
And 1 student is joining.
Now add 4 and 1 we get 5
4 + 1 = 5
Thus there are 5 students in all.

Question 2.

Answer: 2 + 3 = 5

Explanation:
From the above figure we can see that there are 2 students.
3 students are joining.
Now combine 2 and 3.
2 + 3 = 5
Thus there are 5 students in all.

Question 3.

Answer: 4 + 3 = 7

Explanation:
From the above figure we can see that there are 4 students.
3 students are joining.
Now combine 4 and 3.
4 + 3 = 7
Thus there are 7 students in all.

Think and Grow: Modeling Real Life

Directions:
5 students are playing basketball. 5 more students join them. Draw the students who join the group. Then complete the sentence to tell how many students are in the group to start, how many join, and how many there are in all.

Answer: 5 + 5 = 10

Explanation:
Given,
5 students are playing basketball. 5 more students join them.
Combine both 5 and 5 we get
5 + 5 = 10
Therefore there are 10 students in all.

Understand Addition Homework & Practice 6.1

Directions:
1 Complete the sentence to tell how many students are in the group to start, how many join, and how many there are in all.

Question 1.

Answer: 3 + 1 = 4

Explanation:
There are 3 students in a group.
1 student is joining the group.
3 + 1 = 4
Thus 4 students are joining in all.

Directions:
2 and 3 Complete the sentence to tell how many students are in the group to start, how many join, and how many there are in all. 4 Draw 3 students who join the group. Then complete the sentence to tell how many students are in the group to start, how many join, and how many there are in all.

Question 2.

Answer: 2 + 4 = 6

Explanation:
From the picture we observe that there are 2 students in the group.
Now 4 students are joining the group.
Combine 2 and 4 we get
2 + 4 = 6

Question 3.

Answer: 6 + 2 = 8

Explanation:
From the picture we observe that there are 6 students in the group.
Now 2 students are joining the group.
Combine 6 and 2 we get
6 + 2 = 8
Thus there are 8 students in all.

Question 4.

Answer: 5 + 3 = 8

Explanation:
From the picture we observe that there are 5 students in the group.
Now 3 students are joining the group.
Combine 5 and 3 we get
5 + 3 = 8
Thus there are 8 students in all.

Lesson 6.2 Addition: Add To

Explore and Grow

Directions: Use counters to act out the story.

• There are 4 elephants in the water. Write the number.
• 2 more elephants join them. Write the number.
• Tell how many elephants are in the water now.

Answer: 4 + 2 = 6

Explanation:
There are 4 elephants in the water.
2 more elephants join them.
Combine 4 and 2 we get
4 + 2 = 6
Thus there are 6 elephants in all.

Think and Grow

Directions:
Complete the sentence to tell how many animals are in the group to start, how many join, and how many there are in all. Then complete the addition sentence to match.

Answer: 5 + 2 = 7

Explanation:
There are 5 birds on the tree.
2 more birds are joining the group.
Combine both to know how many birds are on the tree.
5 + 2 = 7

Apply and Grow: Practice

Directions:
1 Complete the sentence to tell how many ducks are in the group to start, how many join, and how many there are in all. Then complete the addition sentence to match. 2 and 3 Complete the addition sentence to tell how many animals there are in all.

Question 1.

Answer: 2 + 2 = 4

Explanation:
There are 2 ducks in the water.
And 2 more ducks are joining them.
Combine both to find how many ducks are in the water.
2 + 2 = 4
Thus there are 4 ducks in all.

Question 2.

Answer: 1 + 5 = 6

Explanation:
There is 1 fish in water.
5 more fishes are joining.
Add 1 and 5 to find how many fishes are there.
1 + 5 = 6
Thus there are 6 fishes in all.

Question 3.

Answer: 2 + 7 = 9

Explanation:
There are 2 frogs.
7 more frogs are joining.
Combine both to find how many frogs are there in all.
2 + 7 = 9
Thus there are 9 frogs in all.

Think and Grow: Modeling Real Life

Directions:
There are 3 rabbits in a burrow. 6 more rabbits join them. Draw the rabbits that join the group. Then complete the addition sentence to tell how many rabbits there are in all.

Answer: 3 + 6 = 9

Explanation:
There are 3 rabbits in a burrow. 6 more rabbits join them.
3 + 6 = 9
Thus there are 9 rabbits in a burrow.

Addition: Add To Homework & Practice 6.2

Directions:
1 Complete the sentence to tell how many monkeys are in the group to start, how many join, and how many there are in all. Then complete the addition sentence to match.

Question 1.

Answer: 3 + 2 = 5

Explanation:
There are 3 monkeys and 2 monkeys are joining them.
Combine both we get
3 + 2 = 5
Thus there are 5 monkeys in all.

Directions:
2 and 3 Complete the addition sentence to tell how many animals there are in all. 4 Draw 4 mice that join the group. Then complete the addition sentence to tell how many mice there are in all.

Question 2.

Answer: 3 + 1 = 4

Explanation:
There are 3 bees on the tree. 1 bee is joining them.
Add 3 and 1 to find total number of bees.
3 + 1 = 4
Thus there are 4 bees in all.

Question 3.

Answer: 4 + 5 = 9

Explanation:
There are 4 birds and 5 birds are joining them.
4 + 5 = 9
Thus there are 9 birds in all.

Question 4.

Answer: 3 + 4 = 7

Explanation:
There are 3 rats and 4 rats are joining the group.
3 + 4 = 7
Thus there are 7 rats in all.

Lesson 6.3 Addition: Put Together

Explore and Grow

Directions: Use counters to act out the story.

• There are 4 pencils in the case. Write the number.
• There are 3 crayons in the case. Write the number.
• Tell how many objects are in the case now.

Answer: 4 + 3 = 7

Explanation:
There are 4 pencils in the case.
There are 3 crayons in the case.
4 + 3 = 7
Thus there are 7 items in the case.

Think and Grow

Directions:
Circle the groups to put them together. Then write an addition sentence to tell how many objects there are in all.

Answer: 5 + 4 = 9
1 + 7 = 8

Explanation:
There are 5 green cubes and 4 orange cubes.
5 + 4 = 9
In the second figure we observe that 1 ball and 7 cubes.
1 + 7 = 8

Apply and Grow: Practice

Directions:
1 – 3 Circle the groups to put them together. Then write an addition sentence to tell how many objects there are in all.

Question 1.

Answer: 1 + 3 = 4

Explanation:
From the above figure we observe that there is 1 blue cube and 3 purple cubes.
The addition sentence is 1 + 3 = 4
Thus there are 4 cubes in all.

Question 2.

Answer: 3 + 5 = 8

Explanation:
There are 3 red circles and 5 yellow squares.
Now write the addition sentence for the above figure
3 + 5 = 8

Question 3.

Answer: 6 + 3 = 9

Explanation:
There are 6 orange squares and 3 orange teddy bears.
We have to write the addition sentence for the above figure.
6 + 3 = 9

Think and Grow: Modeling Real Life

Directions:

• You have 5 balls of red clay and 1 ball of blue clay. Draw and color the balls of clay. Then write an addition sentence to tell how many balls of clay you have in all.
• Your friend has 2 balls of red clay and 6 balls of blue clay. Draw and color the balls of clay. Then write an addition sentence to tell how many balls of clay your friend has in all.

Answer:
5 + 1 = 6
2 + 6 = 8

Explanation:
You have 5 balls of red clay and 1 ball of blue clay
The addition sentence is 5 + 1 = 6
You have 2 balls of red clay and 6 ball of blue clay
The addition sentence is 2 + 6 = 8

Addition: Put Together Homework & Practice 6.3

Directions:
1 and 2 Circle the groups to put them together. Then write an addition sentence to tell how many objects there are in all.

Question 1.

Answer: 1 + 1 = 2

Explanation:
There is 1 red clay ball and 1 yellow clay ball.
The addition sentence for the above figure is 1 + 1 = 2

Question 2.

Answer: 4 + 2 = 6

Explanation:
There are 4 red linking cubes and 2 blue cubes.
The addition sentence is 4 + 2 = 6

Directions:
3 Circle the groups to put them together. Then write an addition sentence to tell how many objects there are in all. 4 You have 4 orange marbles and 4 purple marbles. Your friend has 7 orange marbles and 2 purple marbles. Draw and color your marbles and your friend’s marbles. Then write addition sentences to tell how many marbles you each have in all.

Question 3.

Answer: 1 + 8 = 9

Explanation:
There is 1 green triangle and 8 teddy bears.
The addition sentence is 1 + 8 = 9

Question 4.

Answer: 4 + 4 = 8
7 + 2 = 9

Lesson 6.4 Addition: Partner Numbers

Explore and Grow

Directions:
You have 5 linking cubes. Some are red and some are blue. Color to show how many are red and how many are blue. Then complete the addition sentence to match your picture.

Answer: 5 = 3 + 2

Explanation:
Given
You have 5 linking cubes. Some are red and some are blue.
3 are red and 2 are blue linking cubes
3 + 2 = 5

Think and Grow

Directions:
Use 2 colors to show partner numbers that make the whole. Then complete the addition sentence to match your picture.

Answer:
4 = 2 + 2
7 = 3 + 4

Explanation:
You have 4 linking cubes. Some are orange and some are green.
2 are orange and 2 are green linking cubes
2 + 2 = 4
You have 7 linking cubes. Some are red and some are blue.
3 are red and 4 are blue linking cubes
3 + 4 = 7

Apply and Grow: Practice

Directions:
1 – 4 Use 2 colors to show partner numbers that make the whole. Then complete the addition sentence to match your picture.

Question 1.

Answer: 3 = 1 + 2

Explanation:
You have 3 linking cubes. Some are red and some are green.
1 is red and 2 are green linking cubes
1 + 2 = 3

Question 2.

Answer: 5 = 3 + 2

Explanation:
You have 5 balls. Some are red and some are green.
3 are red and 2 are green
3 + 2 = 5

Question 3.

Answer: 10 = 5 + 5

Explanation:
You have 10 balls. Some are red and some are green.
5 are red and 5 are green
5 + 5 = 10

Question 4.

Answer: 7 = 4 + 3

Explanation:
You have 7 balls. Some are red and some are green.
4 are red and 3 are green
4 + 3 = 7

Think and Grow: Modeling Real Life

Directions: You have 8 pieces of sidewalk chalk. Some are red and some are blue.

• Color the pieces of chalk to show partner numbers that make 8. Then write an addition sentence to match your picture.
• Color to show another way to make 8. Then write an addition sentence to match your picture.

Answer:
4 + 4 = 8
5 + 3 = 8

Explanation:
There are 4 red chalks and 4 blue chalks
4 + 4 = 8
There are 5 green chalks and 3 red chalks.
5 + 3 = 8

Addition: Partner Numbers Homework & Practice 6.4

Directions:
1 and 2 Use 2 colors to show partner numbers that make the whole. Then complete the addition sentence to match your picture.

Question 1.

Answer: 2 = 1 + 1

Explanation:
There are two linking cubes in the figure.
Color the cubes to know how many linking cubes are there in all.
2 = 1 + 1

Question 2.

Answer: 9 = 5 + 4

Explanation:
There are 9 linking cubes in the figure.
Color the cubes to know how many linking cubes are there in all.
There are 5 orange and 4 green linking cubes
5 + 4 = 9

Directions:
3 Use 2 colors to show partner numbers that make the whole. Then complete the addition sentence to match your picture. 4 There are 6 paint spots on a paint tray. Some are purple and some are green. Color the paint spots to show partner numbers that make 6. Then color the paint spots to show another way to make 6. Write addition sentences to match your pictures.

Question 3.

Answer: 5 = 3 + 2

Explanation:
There are 5 crayons in total.
3 orange crayons and 2 blue crayons.
Thus 3 + 2 = 5

Question 4.

Answer: 6 = 3 + 3
6 = 2 + 4

Explanation:
There are 3 red balls and 3 yellow balls.
3 + 3 = 6
Thus there are 6 balls in all.
There are 4 red balls and 2 yellow balls.
4 + 2 = 6
Thus there are 6 balls in all.

Lesson 6.5 Addition Number Patterns

Explore and Grow

Directions:
Color the boxes to show how many in all. Tell what you notice.

Answer:

Think and Grow

Directions:
Write an addition sentence to tell how many dots there are in all. Tell what you notice.

Answer:
6 + 0 = 6
6 + 1 = 7

Explanation:
By seeing the above figure we have to count the number of dots.
6 + 0 = 6
Thus the addition sentence is 6 + 0 = 6
By seeing the above figure we have to count the number of dots.
6 + 1 = 7
Thus the addition sentence is 6 + 1 = 7

Apply and Grow

Directions:
1 and 2 Write an addition sentence to tell how many dots there are in all. Tell what you notice. 3 – 6 Complete the addition sentence. Tell what you notice.

Question 1.

Answer: 2 + 0 = 2

Explanation:
By seeing the above figure we have to count the number of dots.
2 + 0 = 2
Thus the addition sentence is 2 + 0 = 2

Question 2.

Answer: 2 + 1 = 3

Explanation:
By seeing the above figure we have to count the number of dots.
2 + 1 = 3
Thus the addition sentence is 2 + 1 = 3

Question 3.

Answer: 5 + 0 = 5

Explanation:
We have to complete the addition sentence by seeing the above image.
5 + 0 = 5
Because any number added to zero will be always the same number.

Question 4.

Answer: 5 + 1 = 6

Explanation:
We have to complete the addition sentence by seeing the above image.
5 + 1 = 6
Thus the addition sentence is 5 + 1 = 6

Question 5.

Answer: 9 + 1 = 10

Explanation:
We have to complete the addition sentence by seeing the above image.
9 + 1 = 10
Thus the addition sentence is 9 + 1 = 10

Question 6.

Answer: 10 + 0 = 10

Explanation:
We have to complete the addition sentence by seeing the above image.
10 + 0 = 10
Because any number added to zero will be always the same number.

Think and Grow: Modeling Real Life

Directions: You find 7 coins to put in your piggy bank.

• You cannot find any more coins. Draw and color all of your coins. Then write an addition sentence to tell how many coins you have in all.
• Your friend gives you a coin to put in your piggy bank. Draw and color all of your coins. Then write an addition sentence to tell how many coins you have in all.

Answer:
5 + 2 = 7
3 + 4 = 7

Addition Number Patterns Homework & Practice 6.5

Directions:
1 and 2 Write an addition sentence to tell how many dots there are in all. Tell what you notice.

Question 1.

Answer: 3 + 0 = 3

Explanation:
By seeing the above figure we have to count the number of dots.
3 + 0 = 3
Thus the addition sentence is 3 + 0 = 3

Question 2.

Answer: 3 + 1 = 4

Explanation:
By seeing the above figure we have to count the number of dots.
3 + 1 = 4
Thus the addition sentence is 3 + 1 = 4

Directions:
3 – 6 Complete the addition sentence. Tell what you notice. 7 You found 8 seashells at the beach yesterday. You do not find any more seashells today. Draw and color all of your seashells. Then write an addition sentence to tell how many seashells you have in all.

Question 3.

Answer: 4 + 0 = 4

Explanation:
We have to complete the addition sentence by seeing the above image.
4 + 0 = 4
Thus the addition sentence is 4 + 0 = 4

Question 4.

Answer: 4 + 1 = 5

Explanation:
We have to complete the addition sentence by seeing the above image.
4 + 1 = 5
Thus the addition sentence is 4 + 1 = 5

Question 5.

Answer: 8 + 1 = 9

Explanation:
We have to complete the addition sentence by seeing the above image.
8 + 1 = 9
Thus the addition sentence is 8 + 1 = 9

Question 6.

Answer: 9 + 0 = 9

Explanation:
We have to complete the addition sentence by seeing the above image.
9 + 0 = 9
Thus the addition sentence is 9 + 0 = 9

Question 7.

Answer: 8 + 0 = 8

Explanation:
Given that you found 8 seashells yesterday. And no seashells total.
The total number of seashells are 8 + 0 = 8
Thus the addition sentence is 8 + 0 = 8

Lesson 6.6 Practice Addition

Explore and Grow

Directions:
Use counters in the five frame to show how many there are in all. Complete the addition sentences.

Answer:

Think and Grow

Directions:
Complete the addition sentence. Tell how you found your answer.

Answer:

Explanation:
We have to complete the addition sentence using the above figure
1 and 4 gives 5
1 + 4 = 5
0 and 3 gives
0 + 3 = 3
1 and 3 gives
1 + 3 = 4

Apply and Grow: Practice

Directions:
1 – 4 Complete the addition sentence. Tell how you found your answer. 5 Complete the addition sentences. Tell what you notice.

Question 1.

Answer: 3

Explanation:
We have to complete the addition sentence using the above figure
1 and 2 gives 3
1 + 2 = 3

Question 2.

Answer: 5

Explanation:
We have to complete the addition sentence using the above figure
0 and 5 gives 5
0 + 5 = 5

Question 3.

Answer: 4

Explanation:
We have to complete the addition sentence using the above figure
2 and 2 gives 4
2 + 2 = 4

Question 4.

Answer: 0

Explanation:
We have to complete the addition sentence using the above figure
0 and 0 gives 0
0 + 0 = 0

Question 5.

Answer: 5

Explanation:
We have to complete the addition sentence using the above figure
2 and 3 gives 5
2 + 3 = 5
3 and 2 gives 5
3 + 2 = 5

Think and Grow: Modeling Real Life

Directions:

• You have 4 game pieces. Some are green and some are yellow. Write an addition sentence to show partner numbers that make the whole. Color to show how you know.
• There is 1 game piece on a game board. You put 2 more game pieces on the board. Write an addition sentence to tell how many game pieces are on the game board. Draw to show how you know.
• You have 3 blue game pieces and 2 red game pieces. Write an addition sentence to show how many game pieces you have in all. Draw to show how you know.

Answer:
2 + 2 = 4
1 + 2 = 3
3 + 2 = 5

Explanation:
You have 4 game pieces. Some are green and some are yellow.
There are 2 green game pieces and 2 yellow game pieces
2 + 2 = 4

Practice Addition Homework & Practice 6.6

Directions:
1 – 3 Complete the addition sentence. Tell how you found your answer.

Question 1.

Answer: 2

Explanation:
We have to complete the addition sentence using the above figure
0 and 2 gives 2
0 + 2 = 2

Question 2.

Answer: 4

Explanation:
We have to complete the addition sentence using the above figure
1 and 3 gives 4
1 + 3 = 4

Question 3.

Answer: 3

Explanation:
We have to complete the addition sentence using the above figure
1 and 2 gives 3
1 + 2 = 3

Directions:
4 Complete the addition sentences. Tell what you notice. 5 You have 5 game pieces. Some are red and some are black. Write an addition sentence to show partner numbers that make the whole. Color to show how you know. 6 There are no game pieces on a game board. You put 1 game piece on the board. Write an addition sentence to tell how many game pieces are on the game board. Draw to show how you know.

Question 4.

Answer: 5

Explanation:
We have to complete the addition sentence using the above figure
1 and 4 gives 5
1 + 4 = 5
4 and 1 gives 5
4 + 1 = 5

Question 5.

Answer: 2 + 3 = 5

Explanation:
There are 2 red balls and 3 black balls
2 + 3 = 5
Thus there are 5 balls in all.

Question 6.

Answer: 0 + 1 = 1

Explanation:
We have to complete the addition sentence using the above figure
0 and 1 gives 1
0 + 1 = 1

Lesson 6.7 Use a Group of 5 to Add

Explore and Grow

Directions:
Add more counters to make 8. Then complete the addition sentence.

Answer: 5 + 3 = 8

Explanation:
We have to complete the addition sentence using the above figure
5 + _ = 8
The missing number is 3.
Thus there are 8 balls in all.

Think and Grow

Directions:
Draw more counters to show how many in all. Use the ten frame to complete the addition sentence.

Answer:
5 + 1 = 6
5 + 4 = 9

Explanation:
We have to complete the addition sentence using the above figure.
5 + _ = 6
The missing number is 1.
Thus there are 6 balls in all.
We have to complete the addition sentence using the above figure.
5 + _ = 9
The missing number is 4.
Thus there are 9 balls in all.

Apply and Grow: Practice

Directions:
1 and 2 Draw more counters to show how many in all. Use the ten frame to complete the addition sentence. 3 Draw 5 counters. Draw more counters to show how many in all. Use the ten frame to complete the addition sentence.

Question 1.

Answer: 5 + 3 = 8

Explanation:
We have to complete the addition sentence using the above figure
5 + _ = 8
The missing number is 3.
Thus there are 8 balls in all.

Question 2.

Answer: 5 + 5 = 10

Explanation:
We have to complete the addition sentence using the above figure
5 + _ = 10
The missing number is 5.
Thus there are 10 balls in all.

Question 3.

Answer: 5 + 2 = 7

Explanation:
We have to complete the addition sentence using the above figure
5 + _ = 7
The missing number is 2.
Thus there are 7 balls in all.

Think and Grow: Modeling Real Life

Directions:

• A boy holds up 5 fingers to tell his age. His sister is 9 years old. Draw more fingers to show his sister’s age. Then write an addition sentence to match your picture.
• A girl holds up 3 fingers to tell her age. Her brother is 8 years old. Draw more fingers to show her brother’s age. Then write an addition sentence to match your picture.

Answer:
5 + 4 = 9
3 + 5 = 8

Explanation:
A boy holds up 5 fingers to tell his age. His sister is 9 years old.
The addition sentence is 5 + 4 = 9

Use a Group of 5 to Add Homework & Practice 6.7

Directions:
1 and 2 Draw more counters to show how many in all. Use the ten frame to complete the addition sentence.

Question 1.

Answer: 5 + 1 = 6

Explanation:
We have to complete the addition sentence using the above figure
5 + _ = 6
The missing number is 1.
Thus there are 6 balls in all.

Question 2.

Answer: 5 + 4 = 9

Explanation:
We have to complete the addition sentence using the above figure
5 + _ = 9
The missing number is 9.
Thus there are 9 balls in all.

Directions:
3 Draw more counters to show how many in all. Use the ten frame to complete the addition sentence. 4 Draw 5 counters. Draw more counters to show how many in all. Use the ten frame to complete the addition sentence. 5 You are decorating your friend’s cubby. You blow up 5 balloons. You need 7 balloons in all. Draw more balloons to make 7. Then write an addition sentence to match your picture.

Question 3.

Answer: 5 + 0 = 5

Explanation:
We have to complete the addition sentence using the above figure
5 + _ = 5
The missing number is 0.
Thus there are 5 balls in all.

Question 4.

Answer: 5 + 5 = 10

Explanation:
We have to complete the addition sentence using the above figure
5 + _ = 10
The missing number is 5.
Thus there are 10 balls in all.

Question 5.

Answer: 5 + 2 = 7

Explanation:
We have to complete the addition sentence using the above figure
You are decorating your friend’s cubby. You blow up 5 balloons. You need 7 balloons in all.
We have to add 2 more balloons to make 7 balloons.
5 + 2 = 7

Lesson 6.8 Add to Make 10

Explore and Grow

Directions:
You have 10 linking cubes. Some are red and some are blue. Color to show how many are red and how many are blue. Then color to show another way. Complete the addition sentences to match your pictures.

Answer:
5 + 5 = 10
7 + 3 = 10

Explanation:
You have 10 linking cubes. Some are red and some are blue.
Draw 5 red linking cubes and 5 blue linking cubes.
Add both to make 10 linking cubes.
5 + 5 = 10
Draw 7 red linking cubes and 3 blue linking cubes.
Add both to make 10 linking cubes.
7 + 3 = 10

Think and Grow

Directions:
Draw more counters to make 10. Use the ten frame to complete the addition sentence.

Answer:
3 + 7 = 10
8 + 2 = 10

Explanation:
There are 10 balls in all.
We have to find the missing number to get 10.
3 + _ = 10
You need to add 7 to get 10.
3 + 7 = 10
The addition sentence is 3 + 7 = 10
We have to find the missing number to get 10.
8 + _ = 10
You need to add 2 to get 10.
8 + 2 = 10
The addition sentence is 8 + 2 = 10

Apply and Grow: Practice

Directions:
1 Draw more counters to make 10. Use the ten frame to complete the addition sentence. 2 Color more linking cubes to make 10. Use the linking cubes to complete the addition sentence. 3 Color 4 linking cubes yellow. Color more linking cubes blue to make 10. Use the linking cubes to complete the addition sentence.

Question 1.

Answer: 5 + 5 = 10

Explanation:
We have to find the missing number to get 10.
5 + _ = 10
You need to add 5 to get 10.
5 + 5 = 10
The addition sentence is 5 + 5 = 10

Question 2.

Answer: 2 + 8 = 10

Explanation:
We have to find the missing number to get 10.
2 + _ = 10
You need to add 8 to get 10.
2 + 8 = 10
The addition sentence is 2 + 8 = 10

Question 3.

Answer: 4 + 6 = 10

Explanation:
There are 10 linking cubes in all.
We have to write the addition sentence by using the above figure.
4 + 6 = 10
The addition sentence is 4 + 6 = 10

Think and Grow: Modeling Real Life

Directions: You need 10 tickets in all to win a prize.

• You win 1 ticket. Draw more tickets to make 10. Then write an addition sentence to match your picture.
• Your friend wins 3 tickets. Draw more tickets to make 10. Then write an addition sentence to match your picture.
• Who needs more tickets? Circle your answer.

Answer:
1 + 9 = 10
3 + 7 = 10

Explanation:
You need 10 tickets in all to win a prize.
You win 1 ticket.
1 + _ = 10
The missing number is 9.
The addition sentence is 1 + 9 = 10
Your friend wins 3 tickets.
3 + _ = 10
The missing number is 7.
The addition sentence is 3 + 7 = 10

Add to Make 10 Homework & Practice 6.8

Directions:
1 Draw more counters to make 10. Use the ten frame to complete the addition sentence. 2 Color more linking cubes to make 10. Use the linking cubes to complete the addition sentence.

Question 1.

Answer: 7 + 3 = 10

Explanation:
We have to find the missing number to get 10.
7 + _ = 10
You need to add 3 to get 10.
7 + 3 = 10
The addition sentence is 7 + 3 = 10

Question 2.

Answer: 10 + 0 = 10

Explanation:
We have to find the missing number to get 10.
10 + _ = 10
You need to add 0 to get 10.
10 + 0 = 10
The addition sentence is 10 + 0 = 10

Directions:
3 Color more linking cubes to make 10. Use the linking cubes to complete the addition sentence. 4 Color 6 linking cubes yellow. Color more linking cubes blue to make 10. Use the linking cubes to complete the addition sentence. 5 You need 10 stickers in all to win a prize. You have 8 stickers. Draw more stickers to make 10. Write an addition sentence to match your picture.

Question 3.

Answer: 4 + 6 = 10

Explanation:
There are 10 linking cubes in all.
There are 4 green linking cubes.
4 + _ = 10
The missing number is 6.
Thus the addition sentence is 4 + 6 = 10

Question 4.

Answer: 6 + 4 = 10

Explanation:
There are 10 linking cubes in all.
There are 4 blue linking cubes.
There are 6 yellow linking cubes.
6 + 4 = 10
Thus the addition sentence is 6 + 4 = 10

Question 5.

Answer: 8 + 2 = 10

Explanation:
There are 8 smileys we have to make it 10.
8 + _ = 10
The missing number is 2.
The addition sentence is 8 + 2 = 10

Add Numbers within 10 Performance Task

Directions:
1 You buy more red fish than blue fish at a pet store. Color to show the fish that you buy. Then write an addition sentence to match your picture. 2 Your friend buys 5 fish. Draw and color your friend’s fish to show fewer red fish than blue fish. Then write an addition sentence to match your picture. 3 You put your food pellets into your fish bowl to feed fish. The number of food pellets is equal to the number of fish. Draw the food pellets. Then write an addition sentence to tell how many objects are in your fish bowl in all.

Question 1.

Answer: 5 + 0 = 5

Explanation:
There are 5 fishes in all.
The addition sentence is 5 + 0 = 5

Question 2.

Answer: 3 + 2 = 5

Explanation:
There are 2 red fishes and 3 blue fishes.
3 + 2 = 5
The addition sentence is 3 + 2 = 5

Question 3.

Answer: 5 + 5 = 10

Explanation:
There are 5 red fishes we have to make them 10.
The addition sentence is 5 + 5 = 10

Add Numbers within 10 Activity

Add and Cover
Directions:
Start at Newton. Roll a die and move forward that number of spaces. Use the numbers on the space to find how many in all. Place a counter on a cloud with that number. If you land on a sun, cover a cloud of your choice. Repeat this process until you cover all of the clouds.

Add Numbers within 10 Chapter Practice

Directions:
1 Complete the sentence to tell how many students are in the group to start, how many join, and how many there are in all. 2 Complete the sentence to tell how many owls are in the group to start, how many join, and how many there are in all. Then complete the addition sentence to match.

6.1 Understand Addition

Question 1.

Answer: 3 + 1 = 4

Explanation:
There are 3 students and 1 student in joining them.
3 + 1 = 4
Thus there are 4 students in all.

6.2 Addition: Add To

Question 2.

Answer: 2 + 3 = 5

Explanation:
There are 2 owls and 3 owls are joining them.
2 + 3 = 5
Thus there are 5 owls in all.

Directions:
3 Circle the groups to put them together. Then write an addition sentence to tell how many objects there are in all. 4 – 6 Use 2 colors to show partner numbers that make the whole. Then complete the addition sentence to match your picture.

6.3 Addition: Put Together

Question 3.

Answer: 1 + 6 = 7

Explanation:
There is 1 bear and 6 cubes.
We have to combine both.
1 + 6 = 7

6.4 Addition: Partner Numbers

Question 4.

Answer: 9 = 5 + 4

Explanation:
There are 9 linking cubes in all.
Some are red and some are yellow.
Add 5 red linking cubes and 4 yellow linking cubes.
9 = 5 + 4

Question 5.

Answer: 6 + 2 = 8

Explanation:
There are 8 balls in all.
6 balls are red and 2 balls are yellow.
6 + 2 = 8

Question 6.

Answer: 3 + 3 = 6

Explanation:
There are 3 green crayons and 3 blue crayons.
The addition sentence is 3 + 3 = 6

Directions:
7 Write an addition sentence to tell how many dots there are in all. Tell what you notice. 8 Complete the addition sentence. Tell what you notice. 9 and 10 Complete the addition sentence. Tell how you found your answer. 11 Complete the addition sentences. Tell what you notice.

6.5 Addition Number Patterns

Question 7.

Answer: 5 + 1 = 6

Explanation:
By seeing the above figure we have to count the number of dots.
5 + 1 = 6
Thus the addition sentence is 5 + 1 = 6

Question 8.

Answer: 8 + 0 = 8

Explanation:
Add 8 and 0
8 + 0 = 8
The addition sentence is 8 + 0 = 8

6.6 Practice Addition

Question 9.

Answer: 4

Explanation:
Add 2 and 2 we get 4
The addition sentence is 2 + 2 = 4

Question 10

Answer: 0

Explanation:
Add 0 and 0 we get 0
The addition sentence is 0 + 0 = 0

Question 11.

Answer: 3

Explanation:
Add 2 and 1 we get 3
The addition sentence is 2 + 1 = 3
Add 1 and 2 we get 3
The addition sentence is 1 + 2 = 3

Directions:
12 Draw more counters to show how many in all. Use the ten frame to complete the addition sentence. 13 Color 3 linking cubes yellow. Color more linking cubes blue to make 10. Use the linking cubes to complete the addition sentence. 14 You need 10 tickets in all to win a prize. You win 2 tickets. Draw more tickets to make 10. Then write an addition sentence to match your picture.

6.7 Use a Group of 5 to Add

Question 12.

Answer: 4

Explanation:
We have to complete the addition sentence using the above figure.
5 + _ = 10
The missing number is 5.
5 + 5 = 10
Thus there are 10 balls in all.

6.8 Add to Make 10

Question 13.

Answer: 3 + 7 = 10

Explanation:
There are 10 linking cubes.
Draw 3 yellow linking cubes and 7 blue linking cubes.
The addition sentence is 3 + 7 = 10

Question 14.

Answer: 2 + 8 = 10

Explanation:
Total number of tickets = 10
You win 2 tickets.
2 + _ = 10
The missing number is 8
2 + 8 = 10
The addition sentence is 2 + 8 = 10

Final Words

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Big Ideas 4th Grade Chapter 11 Understand Measurement Equivalence Math Book Answer Key

Practice as per your convenience by downloading the free 4th std Chapter 11 Understand Measurement Equivalence Answer key. You can use the 4th Grade Chapter 11 Solution Key either online or offline. There are various topics available in the 4th std Chapter 11. All the topics important formulae, videos, solved examples, and free PDFs are given below that helps you for the best practice. Solve every problem any number of times and make your preparation perfect to write the exam well. Score good marks by preparing with Big Ideas 4th Grade Chapter 11 Answer Key.

Lesson: 1 Length in Metric Units

• Lesson 11.1 Length in Metric Units
• Length in Metric Units Homework & Practice 11.1

Lesson: 2 Mass and Capacity in Metric Units

• Lesson 11.2 Mass and Capacity in Metric Units
• Mass and Capacity in Metric Units Homework & Practice 11.2

Lesson: 3 Length in Customary Units

• Lesson 11.3 Length in Customary Units
• Length in Customary Units Homework & Practice 11.3

Lesson: 4 Weight in Customary Units

• Lesson 11.4 Weight in Customary Units
• Weight in Customary Units Homework & Practice 11.4

Lesson: 5 Capacity in Customary Units

• Lesson 11.5 Capacity in Customary Units
• Capacity in Customary Units Homework & Practice 11.5

Lesson: 6 Make and Interpret Line Plots

• Lesson 11.6 Make and Interpret Line Plots
• Make and Interpret Line Plots Homework & Practice 11.6

Lesson: 7 Units of Time

• Lesson 11.7 Units of Time
• Units of Time Homework & Practice 11.7

Lesson: 8 Problem Solving: Elapsed Time

• Lesson 11.8 Problem Solving: Elapsed Time
• Problem Solving: Elapsed Time Homework & Practice 11.8

Lesson: 9 Mixed Measures

• Lesson 11.9 Mixed Measures
• Mixed Measures Homework & Practice 11.9

Performance Task

• Understand Measurement Equivalence Performance Task
• Understand Measurement Equivalence Activity
• Understand Measurement Equivalence Chapter Practice
• Understand Measurement Equivalence STEAM Performance Task

Lesson 11.1 Length in Metric Units

Explore and Grow

Work with a partner. Find 3 objects in your classroom, and use a meter stick to measure them. One of you measure in centimeters, and the other measure in millimeters. Think: What do you notice about the pairs of measurements? How does each measurement compare to1 meter?

1 centimeter is 10 times as long as 1 millimeter.
1 meter is 100 times as long as 1 centimeter.
1 meter is 1000 times as long as 1 millimeter.

Structure
You know the length of an object in centimeters. Without measuring, how can you find its length in millimeters?
Answer:

Think and Grow: Find Equivalent Metric Lengths

Metric units of length include, centimeters, meters, millimeters and kilometers.

Example
Find the number of meters in 3 kilometers.
There are 1000 meters in 1 kilometer.
3 ×1000 =3000
So, there are meters in 3 kilometers.

Example
Find the number of millimeters in 9 meters.

There are 100 centimeters in 1 meter.
9 ×100 = 9 centimeters
There are 10 millimeters in 1 centimeter.
900 × 10= 9000 millimeters
So, there are 9000 millimeters in 9 meters..

Show and Grow

Find the equivalent length.
Question 1.
8 km = ________ m

Answer:
8 km = 8000 m

Explanation:
one kilometer is 1000 times as long as 1 meter
8 x 1000 m = 8000 m
So, there are 8000 meters in 8 km.

Question 2.
7 m = ________ cm

Answer:
7  m= 700 cm

Explanation:
The meter is unit of length in the metric system equivalent to one hundred centimeters.
7×100 = 700cm
so, there are 700 cm in 7 m.

Question 3.
5 cm = ________mm

Answer:
5 cm = 50 mm

Explanation:
The centimeter is unit of length in the metric system equivalent to 10 millimeters.
5×10  =50 mm
so, there are 50 mm in 5 cm.

Question 4.
6 km = ________cm

Answer:
6 km = 600000 cm

Explanation:
1 km is equal to 1000 meters and one meter is equal to100 centimeters.
step 1: 6×1000=6000
step 2: 6000×100=600000

Apply and Grow: Practice

Find the equivalent length.
Question 5.
3 cm =_______mm

Answer:
3 cm = 30mm

Explanation:
The centimeter is unit of length in the metric system equivalent to ten millimeters.
3 x 10=30mm

Question 6.
8 m = _______cm

Answer :
8 m = 800cm

Explanation:
The meter is unit length in the metric system equivalent to 100 centimeters.
8×100=800cm

Question 7.
9 cm = ______mm

Answer:
9 cm = 90mm

Explanation:
The centimeter is unit of length in the metric system equivalent to 10 millimeters.
9×10=90mm

Question 8.
4 m = _______ cm

Answer:
4 m = 400 cm

Explanation :
one meter is equal to 100 centimeter
4×100=400cm.
so, there are 400cm in 4m.

Question 9.
11 km = ________m

Answer:
11 km = 11000m

Explanation:
one kilometer is equal to 1000 meters
11×1000=11000m
so, there are 11000 m in 11 km.

Question 10.
2 km = ________ cm

Answer:
2 km = 200000 cm

Explanation:
one kilometer is equal to 1000 meters and one meter is equal to 100centimeters
2×1000=2000m
2000×100=200000cm

Question 11.
3 m = ______mm

Answer:
3 m = 3000mm

Explanation:
one meter is equal to 100 centimeter and one centimeter is equal to 10 millimeters
3×100=300
300×10=300mm.

Question 12.
5 km = ______m

Answer:
5 km = 5000m

Explanation:
one kilometer is equal to 1000 meters
5×1000=5000m.

Question 13.
A pencil is 19 centimeters long. How many millimeters long is the pencil?

Answer:
The centimeter is unit of length in the metric system equivalent to 10 millimeters.
19×10=190mm long pencil.

Question 14.
Number Sense
How does the meaning of each prefix relate to the metric units of length in this lesson?

Answer:
one kilo is equal to one thousand meter
one centi is equal to hundredth of a meter
one milli is equal to thousandth of a meter.

DIG DEEPER!
Compare.
Question 15.

Answer:
4 meters is equal to 400 cm

Explanation:
one meter is equal to 100 cm
4 x 100 =400cm

Question 16.

Answer:
5000mm is not equal to 50m

Explanation:
5000mm is equal to 5m.

Think and Grow: Modeling Real Life

Example
During 1 day of swim practice, your friend swam12,600 meters. Your friend’s goal was to swim 2\(\frac{1}{2}\) kilometers. Did he reach his goal?

Make a table that shows the relationship between kilometers and meters.

Compare 2,600 meters to 2 \(\frac{1}{2}\) kilometers.

Answer:
2×1/2=2500
Your friend did not reach his goal.

Show and Grow

Question 17.
You have 42 millimeters of wire. You need 4\(\frac{1}{2}\) centimeters of wire to make an earring. Do you have enough wire to make the earring?

Answer: Yes,

Explanation:
The wire is 42 mm, we needed the wire for making earrings which is in cm we have to convert that in to mm.
one cm =10 mm
1cm =10mm
4 ×1/2 =9/2
= 4.5 ×10
=45 centimeters

Question 18.
Which insect’s wingspan is longer? How much longer is it?

Answer:
5cm wing span is longer because 1 cm =10mm

Question 19.
DIG DEEPER!
There are signs posted every 500 meters along a 5-kilometer race. How many signs are posted?

Answer:
10 signs

Explanation:
1 signs are posted for every 500 meters
1 km=1000m
so, there are 10 signs for 5 km.

Length in Metric Units Homework & Practice 11.1

Find the equivalent length.
Question 1.
3 km = ___ m

Answer:
3 km = 8000 m

Explanation:
one kilometer is 1000 times as long as 1 meter
3 x 1000 m = 3000 m
So, there are 3000 meters in 8 km.

Question 2.
5 m = _____ mm

Answer:
5 m = 5000mm

Explanation:
one meter is 1000 times as long as 1000 millimeter
5 x 1000 m = 5000 mm
So, there are 5000millimeters in 5 m.

Question 3.
12 km = ____ m

Answer:
12 km = 12000 m

Explanation:
one kilometer is 1000 times as long as 1 meter
12 x 1000 m = 12000 m
So, there are 12000 meters in 12 km.

Question 4.
8 m = _____ cm

Answer:
8 meters is equal to 400 cm

Explanation:
one meter is equal to 100 cm
8 x 100 =800cm

Question 5.
9 km = ____ cm

Answer:
9 km = 900000 cm

Explanation:
one kilometer is equal to 1000 meters and one meter is equal to 100centimeters
9×1000=9000m
9000×100=900000cm

Question 6.
6m = _____ mm

Answer:
6 m=6000mm

Explanation:
one meter is equal to 100 cm
one cm is equal to 10 millimeter
6m x 100 =600cm
600×10=6000mm

Question 7.
7 m = ____ cm

Answer:
7 m=700cm

Explanation:
one meter is equal to 100cm
7 x 100= 700cm

Question 8.
4 m = ____ mm

Answer:
4m = 4000mm

Explanation:
one meter is equal to 100 centimeter
one centimeter is equal to 10 mm
4 x 100 = 400cm
400 x 10 = 4000mm.

Question 9.
A basketball player is 2 meters tall. How tall is the player in centimeters?

Answer:
200cm

Explanation:
The basketball player is 2m tall,one meter is equal to 100 cm
2 x 100 =200cm
so, the player is 200cm.

Question 10.
Which One Doesn’t Belong?
Which measurement does not belong with the other three?
50 m
500 km
5,000 cm
50,000 mm
Answer:
500 km

Question 11.
Patterns
Describe and complete the pattern.

Answer:

Explanation:
one meter is equal to 100 cm and that is equal to 100mm.

Question 12.
Modeling Real Life
A pencil is 190 millimeters long. A pencil box 1is 20\(\frac{1}{2}\) centimeters long. Will the pencil fit inside the pencil box?

Answer:

215 m long.

Explanation:
one centimeter is equal to 10mm, A pencil is 190 cm is long and the pencil box is 215 cm long it can easily fit in the box.

Question 13.
DIG DEEPER!
An airplane runway is 4 kilometers long. An airplane starts at one end and travels 2,044 meters. How many more meters can the airplane travel before reaching the end of the runway?

Answer:
1956meters

Explanation:
The airplane started and travelled 2044 m
total it has to travel is 4 km
one kilometer is equal to 1000m
4000-2044 =1956m

Review & Refresh

Find the factor pairs for the number.
Question 14.
11

Answer: 1,11
One of two or more numbers or expressions that are multiplied to obtain a given product

Question 15.
25

Answer: 1,5,25
One of two or more numbers or expressions that are multiplied to obtain a given product

Question 16.
12
Answer: 1,3,4,12.
One of two or more numbers or expressions that are multiplied to obtain a given product

Lesson 11.2 Mass and Capacity in Metric Units

Explore and Grow

Use a balance and weights to help you complete the statement.
1 kilogram is 1000 times as much as 1 gram.

Use a 1-liter beaker to help you complete the statement.
1 liter is 1000 times as much as 1 milliliter.

Structure
You know the mass of an object in kilograms. Without using a scale, how can you find its mass in grams?
Answer  with the help of :weighing machine

Think and Grow: Find Equivalent Metric Measures

Metric units of mass include grams and kilograms.

Metric units of capacity include liters and milliliters.

Example
Find the number of grams in 3 kilograms.
There are 1000 grams in 1 kilogram.
3 ×1000 = 3000
So, there are 3000 grams in 3 kilograms.

Example
The container holds 5 liters of water. How many milliliters of water does the container hold?

There are 1000 milliliters in 1 liter.
5 ×1000= 5000
So, the container holds 5000 milliliters of water.

Show and Grow

Find the equivalent mass.
Question 1.
6 kg = _______g

Answer:
6 kg = 6000g

Explanation:
There are 1000 grams in 1 kilogram.
6 ×1000 = 6000
So, there are 6000 grams in 6 kilograms.

Question 2.
9 kg = _______g

Answer:
9 kg = 9000g

Explanation:
There are 1000 grams in 1 kilogram.
9 ×1000 = 3000
So, there are 9000 grams in 9 kilograms.

Find the equivalent capacity
Question 3.
7 L =_________ mL

Answer:
7 l = 1000ml

Explanation:
There are 1000 milliliters in 1 liter.
7 ×1000= 7000
So, 7l is equal to 7000 milliliters of water.

Question 4.
10 L = ____ mL

Answer:
10l = 10000ml

Explanation:
There are 1000 milliliters in 1 liter.
10 ×1000= 10000
So, 10l has  10000 milliliters of water.

Apply and Grow: Practice

Find the equivalent mass.
Question 5.
8 kg = 8000 g
Answer:
There are 1000 grams in 1 kilogram.
8 ×1000 = 8000
So, there are 8000 grams in 8 kilograms.

Question 6.
7 kg = 7000g
Answer:
There are 1000 grams in 1 kilogram.
7×1000 = 7000
So, there are 7000 grams in 7 kilograms.

Question 7.
4 kg = 4000g
Answer:
There are 1000 grams in 1 kilogram.
4 ×1000 = 4000
So, there are 4000 grams in 4 kilograms.

Question 8.
67 kg = 67000 g
Answer:
There are 1000 grams in 1 kilogram.
67 ×1000 = 3000
So, there are 67000 grams in 67 kilograms.

Find the equivalent capacity.
Question 9.
9 L = _____ mL

Answer:
9 l = 9000 ml

Explanation:
one liter is equal to 1000ml
9 x 1000 =9000ml

Question 10.
3 L = _____ mL
Answer:
3 l = 3000ml

Explanation:
one liter is equal to 1000ml
3 x 1000 =3000ml.

Question 11.
23 L = ____ mL
Answer:
23l = 23000ml

explanation:
one liter is equal to 1000ml
23 x 1000= 23000ml

Question 12.
40 L = _____ mL
Answer:
40 l = 40000ml

explanation:
one liter is equal to 1000ml
40 x 1000= 40000ml

Question 13.
What is the mass of the bag of apples in grams?

Answer:
2000g

Explanation:
There are 1000 grams in 1 kilogram.
2 ×1000 = 2000
So, there are 2000 grams of apples in bag.

Question 14.
YOU BE THE TEACHER
Your friend says that 4 liters is greater than 4,500 milliliters. Is your friend correct? Explain.
Answer:
one liter is equal to 1000m
4 l = 4000ml
my friend is not correct4 liters is less than 4500ml.

Question 15.
Writing
Compare the relationship between kilograms and grams to the relationship between liters and milliliters.
Answer:
one kilogram is equal to 1000g
one liter is equal to 1000ml
kilograms and grams are used measure solids
liters and milliliters are used to measure liquids.

Think and Grow: Modeling Real Life

Example
A restaurant chef has 5\(\frac{3}{4}\) kilograms of rice. A recipe uses 5,875 grams of rice. Does the chef have enough rice to follow the recipe?

Make a table that shows the relationship between kilograms and grams.
Compare 5\(\frac{3}{4}\) kilograms to 5,875 grams.
The chef _____ have enough rice to follow the recipe.

Answer:
No, The chef doesnot have enough rice to follow the recipe

Show and Grow

Question 16.
Your goal is to drink 1,500 milliliters of water each day. Yesterday, you drank 2\(\frac{1}{2}\) liters of water. Did you reach your goal?

Answer:
Goal=1500 ml
drank water = 2 x 1/2 =5/2= 2.5
2.5 x 1000 =2500ml
yes, I reached the goal.

Question 17.
Which egg has a greater mass? How much greater?

Answer:
ostrich egg

Explanation:
There are 1000 grams in 1 kilogram.
1 x 1/4 = 5/4 = 1.25kgs
but chicken egg is 581grams so ostrich egg is bigger

Question 18.
DIG DEEPER!
A scientist has 3 liters, 818 milliliters, and 410 milliliters of a solution in each of 3 beakers. The scientist wants to divide the solution equally among 7 beakers. How much of the solution should the scientist put into each beaker?
Answer:
In three beakers 1 has 3 liters, 2 has 818, 3 has 410.
he has to divide them to 7 beakers equally
3 x 1000 = 3000 + 818 + 410 = 4228
the total solution is 4228 ml is divided by 7 = 604

Mass and Capacity in Metric Units Homework & Practice 11.2

Find the equivalent mass.
Question 1.
2 kg = _________ g

Answer:
2 kg = 1000 g

Explanation:
There are 1000 grams in 1 kilogram.
2 ×1000 = 2000
So, there are 2000 grams in 2 kilograms.

Question 2.
10 kg = ________g

Answer:
10 kg = 10000 g

Explanation:
There are 1000 grams in 1 kilogram.
10×1000 = 10000
So, there are 10000 grams in 10 kilograms.

Question 3.
50 kg =_________g

Answer:
50 kg =50000g

Explanation:
There are 1000 grams in 1 kilogram.
50 ×1000 = 50000
So, there are 50000 grams in 50 kilograms.

Question 4.
31 kg = _________ g

Answer:
50 kg =50000g

Explanation:
There are 1000 grams in 1 kilogram.
51 ×1000 = 51000
So, there are 51000 grams in 51 kilograms.

Find the equivalent capacity.
Question 5.
7 L = _____ mL

Answer:
7l = 7000 ml

Explanation:
There are 1000 milliliters in 1 liter.
7 ×1000= 7000
So, 7l is equal to 7000 milliliters.

Question 6.
4 L = ____ mL

Answer:
4 l =4000 ml

Explanation:
There are 1000 milliliters in 1 liter.
4 ×1000= 4000
So, 4l has 4000 milliliters.

Question 7.
8 L = ____ mL

Answer:
8 l = 8000ml

Explanation:
There are 1000 milliliters in 1 liter.
8 ×1000= 8000
So, 8l has 8000 milliliters.

Question 8.
11 L = ____ mL

Answer:
11 l = 11000ml

Explanation:
There are 1000 milliliters in 1 liter.
11 ×1000= 11000
So, 8l has 11000 milliliters.

Question 9.
A pitcher contains 3 liters of iced tea. How many milliliters of iced tea does the pitcher contain?
Answer:
3000mm

Explanation:
There are 1000 milliliters in 1 liter.
3 ×1000= 3000
So, the container holds 3000 milliliters of iced tea the pitcher.

Question 10.
Number Sense
The prefix “kilo-” means one thousand. The prefix “milli-” means one-thousandth. How does the meaning of each prefix relate to the metric units of mass and capacity in this lesson?

Answer:
meter

Explanation:
The prefix “kilo-” means one thousand. The prefix “milli-” means one-thousandth. To measure the values of  the meaning of each prefix relate to the metric units of mass and capacity in this lesson 

Question 11.
Number Sense
When measuring the mass of a chair, how will the size of the unit affect the size of the measurement?
Answer:
Dimensions are physical qualities one relates the other in the size of measurement.

Question 12.
Modeling Real Life
To cook a pound of pasta, you need1toboil 4,700 milliliters of water. You fill a pot with 4\(\frac{1}{4}\) liters of water. Is there enough water in your pot?

Answer:
not enough

Explanation:
To cook a pound of pasta, you need1toboil 4,700 milliliters of water. You fill a pot with 4250 is not enough.

Question 13.
DIG DEEPER!
A 4,500-gram bag of soil costs $3, and an 18-kilogram bag of soil costs $10. Which is the less expensive way to buy 18,000 grams of soil? Explain.

Answer:
18kg bag

Explanation:
one kg is equal to 1000grams
18kg= 18000grams which costs of 10$
4500 g =3$

Review & Refresh

Find the difference. Then check your answer.
Question 14.

Answer: 1714

Question 15.

Answer: 24613

Question 16.

Answer: 50243

Lesson 11.3 Length in Customary Units

Explore and Grow

Work with a partner. Use a yardstick todraw3 lines on a whiteboard that are 1 yard,2 yards, and 3 yards in length. Then measure the lengths of the lines in feet and in inches. Think: How do the lengths, in inches, compare to the lengths in feet? How does each length compare to 1 yard?
1 foot is ____ times as long as 1 inch.
1 yard is _____ times as long as 1 foot.
1 yard is _____ times as long as 1 inch.

Answer:
1 foot is 12 times as long as 1 inch.
1 yard is 3 times as long as 1 foot.
1 yard is 36 times as long as 1 inch.

Structure
You know the length of an object in feet. Without measuring, how can you find its length in inches?

Answer:
consider the length of an object is x
if we that in inches we have to multiply with 12
so, the answer is 12x

Think and Grow: Find Equivalent Customary Lengths

Customary units of length include inches, feet, yards, and miles.

Example
Find the number of yards in 2 miles.
There are _____ yards in 1 mile.
2 × _____ = _____
So, there are _____ yards in 2 miles.

Answer:
There are 1760 yards in 1 mile.
2 × 1760 = 3250
So, there are 3520 yards in 2 miles.

Example
Find the number of inches in 7 yards.

There are _____ feet in 1 yard.
7 × _____ = _____ feet
There are ______ inches in 1 foot.
21 × ____ = ____ inches
So, there are ________ inches in 7 yards.

answer:
There are 3 feet in 1 yard.
7 × 3 = 21 feet
There are 12 inches in 1 foot.
21 × 12 = 252 inches
So, there are 252 inches in 7 yards.

Show and Grow

Find the equivalent length.
Question 1.
6 mi= _____ yd

Answer:
6 mi =10560yd

explanation:
Answer:
There are 1760 yards in 1 mile.
6 × 1760 =10560
So, there are 10560 yards in 6 miles.

Question 2.
4 ft = _____ in.

Answer:
4 ft = 48 in
Answer:
There are 12 inches  in 1 feet.
12 × 4 = 48
So, there are 48 inches in 4 ft.

Question 3.
11 yd = _____ ft

Answer:
11yd = 33 ft.

Explanation:
one yard is equal to 3 feet
11x 3= 33ft

Question 4.
3 mi = _____ ft

Answer:
3 mi = 15840 ft

Explanation:
one mile is equal 5280 feet
3 x 5280 = 15840ft

Apply and Grow: Practice

Find the equivalent length.
Question 5.
10 ft = ______ in.

Answer:
10 ft = 120 in

Explanation:
one feet is equal to 12 inch
10 x 12= 120in
so, there are 120 in in 10 ft.

Question 6.
8 yd = ______ in.

Answer:
8 yards = 288 in.

Explanation:
one yard is equal to 36 inches
8 x 36 = 288in

Question 7.
2 mi = ______ ft

Answer:
2mi = 10560 ft

Explanation:
one mile is equal to 5280 ft
2 x 5280 = 10560.

Question 8.
9 mi = ______ yd

Answer:
9 mi = 15840yd

Explanation:
Answer:
There are 1760 yards in 1 mile.
9 × 1760 = 15840
So, there are 15840 yards in 9 miles.

Question 9.
4 yd = ______ in.

Answer:
4 yd = 144 in

Explanation:
one yard is equal to 36 inch
4 x 36 = 144in

Question 10.
20 ft = ______ in.

Answer:
20ft = 240 in

Explanation:
one ft is equal to 36 inch
20 x 36 = 240in

Question 11.
7 mi = ______ yd

Answer:
7 mi = 12320yd

Explanation:
Answer:
There are 1760 yards in 1 mile.
7 × 1760 = 12320
So, there are 12320 yards in 7 miles.

Question 12.
5 mi = ______ ft

Answer:
5mi = 26400 ft

Explanation:
one mile is equal to 5280  feet.
5 x 5280 = 26400 ft.

Question 13.
You ran 54 yards. How many feet did you run?
Answer:
one yard is equal to 3 feet
54 x 3=162 ft
I need to run 162 feet in 54 yards

Question 14.
Precision
Three students measure the height of a bookshelf. Student A measures 72 units, Student B measures 2 units, and Student C measures 6 units. The teacher says all three students are correct. What units did each student use?
Answer:
1 feet = 12 inch
1 yard = 3 feet
1 yard = 36 inch
student A measures in inch
student B measures in yards
student c measures in feet.

Question 15.
Reasoning
What is one way you can check whether an answer is reasonable when converting from larger units to smaller units?
Answer:
converting from yards to feet

Think and Grow: Modeling Real Life

Example
A football player needs to run 6\(\frac{1}{3}\) yards to score. The player runs 17 feet. Does the player score?
Make a table that shows the relationship between yards and feet.
Compare 6\(\frac{1}{2}\) yards to 17 feet.

The player _____ score

Answer: 19

Show and Grow

Question 16.
You have 3\(\frac{1}{4}\) feet of string. You need 36 inches of string to make a necklace. Do you have enough string to make the necklace?
Answer: 9 inches

Question 17.
Which snake is longer? How much longer?

Answer: green anaconda
one yard is equal to 3 feet
green anaconda 28/3 = 9.33 x 3= 27.99feet

Question 18.
DIG DEEPER!
You have 6 yards of ribbon. You wrap 3 feet of ribbon around a present. You wrap 16 inches of ribbon around another present. How many inches of ribbon do you have left?
Answer:
one yard is equal to 3 feet
6 x 3 =18
I have 18 feet of ribbon in total
3 feet for gift wrapping
18-3= 15
one feet is equal to 12 inch
12 inch ribbon for the 2 nd present
15-12 =3
so, the remaining ribbon is 3 inch.

Length in Customary Units Homework & Practice 11.3

Find the equivalent length.
Question 1.
25 ft = _____ in.

Answer:
300 in

Explanation:
one feet is equal to 12 inch
25 x 12 = 300in
there are 300 inches in 25 feet.

Question 2.
3 mi = _____ yd

Answer:
3mi = 5280yd

Explanation:
There are 1760 yards in 1 mile.
3 × 1760 = 5280
So, there are 5280 yards in 3 miles.

Question 3.
7 yd = _____ ft

Answer:
21 feet

Explanation:
one yard is equal to 3 feet.
7 x 3 = 21ft
there are 21 feet in 7 yards.

Question 4.
9 yd = _____ in.

Answer:
324

Explanation:
one yard is equal to 36 inch
9 x 36=324.
so, there are 324 inch in 9 yards

Question 5.
5 mi = _____ yd

Answer:
5 mi =8800 yd

Explanation:
There are 1760 yards in 1 mile.
5 × 1760 = 8800
So, there are 8800 yards in 5 miles.

Question 6.
6 mi = _____ ft

Answer:
31680

Explanation:
one mile is equal to 5280 ft
6 x 5280 = 31680
so there are 5280 feet in 6 miles

Question 7.
\(\frac{1}{4}\)mi = _____ yd

Answer:
440yd

Explanation:
There are 1760 yards in 1 mile.
1760/4 = 440
So, there are 440 yards.

Question 8.
\(\frac{1}{3}\) yd = ____ ft

Answer:
1 feet
one yard is equal to 3 feet
1/3 x 3 = 1

Question 9.
A street is 2 miles long. How long is the street in yards?

Answer:
3520yd

Explanation:
There are 1760 yards in 1 mile.
2 × 1760 = 3250
So, there are 3520 yards in 2 miles.

Question 10.
Number Sense
Does it take more miles or more yards to equal a given length? Explain.
Answer:
when it is measured in miles 1 mile =1760 yd
as the miles contains less units it is easy to calculate.

Question 11.
YOU BE THE TEACHER
Your friend says 1 inch is \(\frac{1}{12}\) of a foot. Is your friend correct? Explain.

Answer:
he is correct

explanation:
one feet is equal to 12 inch

Question 12.
Number Sense
Which lengths are equivalent?

Answer:
15 yards = 45 feet, 540 inch
540 inch = 45 feet

Question 13.
Modeling Real Life
A plumber has 6\(\frac{1}{3}\) feet of piping. She needs inches of piping. Does she have enough piping?

Answer:
A plumber has 6\(\frac{1}{3}\) feet of piping. she needs 38 inches of piping.

Question 14.
Modeling Real Life
A teacher has 12 yards of string for her class to make balloon zip lines. Each zipline needs 8 feet of string. How many zip lines can the class make?

Answer:
The teacher has 12 yards of string for her class to make balloon zip lines. Each zipline needs 8 feet of string
1 yard is equal to 3 feet
12 x 3 = 36
36/8 = 4
so they can make 4 zip lines of 8 feets each.

Review & Refresh

Divide. Then check your answer.
Question 15.
\(\sqrt [ 3 ]{ 501 } \)
Answer:
67.14

Question 16.
\(\sqrt [ 2 ]{ 4,237 } \)
Answer:
130.18

Question 17.
\(\sqrt [ 5 ]{ 6,049 } \)
Answer:
388.87

Lesson 11.4 Weight in Customary Units

Explore and Grow

Use a platform scale to help you complete the statement.
1 pound is ______ times as heavy as 1 ounce.

1 pound is 16 times as heavy as 1 ounce.
How can you use the number line to complete the statement?

1 ton is ________times as heavy as 1 pound.
Answer:
1 ton is 2240 times as heavy as 1 pound.

Structure
You know the weight of an object in pounds. Without measuring, how can you find its weight in ounces?
Answer:
one pound is equal to 16 times of a ounce by multiplying with the number.

Think and Grow: Find Equivalent Customary Weights

Customary units of weight include ounces, pounds, and tons.

Example
Find the number of ounces in 6 pounds.
There are ______ ounces in 1 pound.
6 × _____ = ____
So, there are _______ ounces in 6 pounds.

Answer:
There are 16 ounces in 1 pound.
6 × 16 = 96
So, there are 96 ounces in 6 pounds..

Example
The vehicle shown weighs 8 tons. What is the weight in pounds?

There are ______ pounds in 1 ton.
8 × _____ = _____
So, the vehicle weighs ______ pounds.

Answer:
There are 2000 pounds in 1 ton.
8 × 2000 = 16000
So, the vehicle weighs 16000 pounds.

Show and Grow

Find the equivalent weight.
Question 1.
5 T = ____ lb
Answer:
5 t = 10000 lb

Explanation:
There are 2000 pounds in 1 ton.
5 × 2000 = 10000
So, it weighs 10000 pounds.

Question 2.
9 lb = _____ oz

Answer:
9 lb = 144 oz

Explanation:
There are 16 ounces in 1 pound.
9 × 16 = 144
So, there are 144 ounces in 9 pounds..

Question 3.
15 lb = ____ oz

Answer:
15 lb =  oz240

Explanation:
There are 16 ounces in 1 pound.
15 × 16 = 144
So, there are 240 ounces in 15 pounds..

Question 4.
7 T = _____ lb

Answer:
7 t = 14000 lb

Explanation:
There are 2000 pounds in 1 ton.
7 × 2000 = 14000
So, it weighs 14000 pounds.

Apply and Grow: Practice

Find the equivalent weight.
Question 5.
6 T = _____ lb
Answer:
6 t = 12000 lb

Explanation:
There are 2000 pounds in 1 ton.
6 × 2000 = 12000
So, it weighs 12000 pounds.

Question 6.
20 lb = ____ oz

Answer:
20 lb =  oz

Explanation:
There are 16 ounces in 1 pound.
9 × 16 = 320
So, there are 320 ounces in 16 pounds..

Question 7.
12 lb = _____ oz

Answer:
12 lb = 192 oz

Explanation:
There are 16 ounces in 1 pound.
12 × 16 = 192
So, there are 192 ounces in 12 pounds..

Question 8.
2 T = _____ lb
Answer:
2 t = 4000 lb

Explanation:
There are 2000 pounds in 1 ton.
2 × 2000 = 4000
So, it weighs 4000 pounds.

Question 9.
4 T = ______ lb
Answer:
4 t = 8000 lb

Explanation:
There are 2000 pounds in 1 ton.
4 × 2000 = 8000
So, it weighs 8000 pounds.

Question 10.
11 lb = _____ oz

Answer:
11 lb = 176 oz

Explanation:
There are 16 ounces in 1 pound.
11 × 16 = 176
So, there are 176 ounces in 11 pounds..

Question 11.
15 lb = _____ oz

Answer:
15 lb =  240oz

Explanation:
There are 16 ounces in 1 pound.
15 × 16 = 240
So, there are 240 ounces in 15 pounds..

Question 12.
10 T = _____ lb
Answer:
10 t = 20000 lb

Explanation:
There are 2000 pounds in 1 ton.
10 × 2000 = 20000
So, it weighs 20000 pounds.

Question 13.
A bag of flour weighs 5 pounds. What is the weight of the bag of flour in ounces?

Answer:
5 lb = 80 oz

Explanation:
There are 16 ounces in 1 pound.
5 × 16 = 80
So, there are 80 ounces in 5 pounds.

Open-Ended Complete the statement.
Question 14.
54 ounces > _____ pounds
Answer: 54 ounces > 3.375

Question 15.
5,500 pounds < ______ tons
Answer:
5,500 pounds < 3 tons

DIG DEEPER!
Compare
Question 16.

Answer: 2 lb > 25 oz

Question 17.

Answer:6,500 < 7 t

Think and Grow: Modeling Real Life

Example
A river otter eats 64 ounces of food each day. A zookeeper has 3\(\frac{1}{2}\) pounds of fish to feed the otter. Does the zookeeper have enough food to feed the otter for 1 day?

Make a table that shows the relationship between pounds and ounces.

Compare 64 ounces to 3\(\frac{1}{2}\) pounds.
The zookeeper ______ have enough food to feed the otter for 1 day.
Answer:
A river otter eats 64 ounces of food each day. A zookeeper has 3\(\frac{1}{2}\) pounds of fish to feed the otter. The zookeeper does not have enough food to feed the otter for 1 day

Show and Grow

Question 18.
The weight limit of a bridge is10,000 pounds. Can the van cross the bridge?

Answer:
4.25 t = 8500 lb

Explanation:
There are 2000 pounds in 1 ton.
4.25 × 2000 = 8500
So, it weighs 8500 pounds.

Question 19.
Your backpack weighs 3\(\frac{1}{2}\) pounds. You take a 4-ounce book out of your backpack. How many ounces does your backpack weigh now?

Answer:
3.5 lb x 16 = 56

Explanation:
There are 16 ounces in 1 pound.
3.5 × 16 = 56
So, there are 56 ounces in 3.5 pounds. The bag pack weighs 56-4 = 52 oz.

Question 20.
DIG DEEPER!
A 195-pound man has twenty-five 40-pound packages to deliver. Can he bring all of the packages on the elevator at once? Explain.

Answer:

2 t = 2000 lb

Explanation:
There are 2000 pounds in 1 ton.
25 x 40 = 1000
so he can easily take it once in the elevator.

Weight in Customary Units Homework & Practice 11.4

Find the equivalent weight.
Question 1.
3 T = _____ lb
Answer:
3 t = 6000 lb

Explanation:
There are 2000 pounds in 1 ton.
3 × 2000 = 6000
So, it weighs 6000 pounds.

Question 2.
13 lb = ____ oz

Answer:
13 lb = 208 oz

Explanation:
There are 16 ounces in 1 pound.
13 × 16 = 208
So, there are 208 ounces in 13 pounds.

Question 3.
22 lb = ____ oz

Answer:
22 lb = 352 oz

Explanation:
There are 16 ounces in 1 pound.
22 × 16 = 352
So, there are 352 ounces in 22 pounds.

Question 4.
8 T = _____ lb
Answer:
8 t = 16000 lb

Explanation:
There are 2000 pounds in 1 ton.
8 × 2000 = 16000
So, it weighs 16000 pounds.

Question 5.
2 T = ____ lb
Answer:
2 t = 4000 lb

Explanation:
There are 2000 pounds in 1 ton.
2 × 2000 = 4000
So, it weighs 4000 pounds.

Question 6.
20 lb = ______ oz

Answer:
20 lb = 320 oz

Explanation:
There are 16 ounces in 1 pound.
20 × 16 = 320
So, there are 320 ounces in 16 pounds.

Question 7.
5\(\frac{3}{4}\) lb = _____ oz

Answer:
5.75 lb = 93 oz

Explanation:
There are 16 ounces in 1 pound.
5.75 × 16 = 93
So, there are 93 ounces in 5.75 pounds.

Question 8.
6\(\frac{1}{4}\) T = _____ lb
Answer:
6.25 t = 12500 lb

Explanation:
There are 2000 pounds in 1 ton.
6.25 × 12500 = 10000
So, it weighs 12500 pounds.

Question 9.
A hippopotamus weighs 4 tons. What is the weight of the hippopotamus in pounds?

Answer:

4 t = 8000 lb

Explanation:
There are 2000 pounds in 1 ton.
4 × 2000 = 8000
So, hippo weighs 8000 pounds.

Question 10.
Writing
Explain how to compare tons to ounces.
Answer:
calculate to pounds and then to ounces

Question 11.
Modeling Real Life
Workers need 20,000 pounds of concrete to create a driveway. The boss orders 10\(\frac{3}{4}\) tons of concrete.Does he order enough?

Answer:
43/4t = 21500 lb

Explanation:
There are 2000 pounds in 1 ton.
43/4 × 2000 = 21500
So, it weighs 21500 pounds yes he ordered enough concrete.

Question 12.
Modeling Real Life
You buy crushed tomatoes in 6-ounce cans. You want to1make a recipe that calls for 1\(\frac{1}{2}\) pounds of crushed tomatoes. How many cans do you need to make the recipe?

Answer:
6 ounce cans are there
1.5 pounds of crushed tomatoes
1.5 x 16= 24 ounce
one pound is equal to 16 ounce
we need 3 cans

Question 13.
DIG DEEPER!
How many more ounces does the heaviest puppy weigh than the lightest puppy?

Answer: 3/4 is the lightest puppy
7/4 is the heaviest puppy

Review & Refresh

Find the sum
Question 14.
\(\frac{2}{8}+\frac{4}{8}\) = _______
Answer: 6

Question 15.
\(\frac{1}{2}+\frac{4}{2}\) = _______
Answer: 2.5

Question 16.
\(\frac{5}{12}+\frac{3}{12}+\frac{1}{12}\) = ______
Answer:
0.41+4+0.8
=5

Lesson 11.5 Capacity in Customary Units

Explore and Grow

Use the diagram to complete each statement. Then check your answers using a gallon measurement set.

1 gallon is _____ times as much as 1 quart.
1 quart is _______ times as much as 1 pint.
1 pint is ______ times as much as 1 cup.
1 gallon is _____ times as much as 1 cup.
Answer:
1 gallon is 4 times as much as 1 quart.
1 quart is 2 times as much as 1 pint.
1 pint is 2 times as much as 1 cup.
1 gallon is 16 times as much as 1 cup.

Structure
You know the capacity of a container in pints. Without measuring, how can you find its capacity in cups?
Answer: multiplying  with 2

Think and Grow: Find Equivalent Customary Capacities

Customary units of capacity include cups, pints, quarts, and gallons.

Example
Find the number of quarts in 15 gallons.
There are ______ quarts in 1 gallon.
15 × _____ = _____
So, there are ______ quarts in 15 gallons.
Answer:
There are 4 quarts in 1 gallon.
15 × 4 = 60
So, there are 60 quarts in 15 gallons.

Example
Find the number of cups in 7 quarts.

There are _____ pints in 1 quart.
7 × ____ = ____ pints
There are ______ cups in 1 pint.
14 × _____ = _____ cups
So, there are ______ cups in 7 quarts.
Answer:
There are 2 pints in 1 quart.
7 × 2 = 14 pints
There are 2 cups in 1 pint.
14 ×2 =28cups
So, there are 28 cups in 7 quarts.

Show and Grow

Find the equivalent capacity.
Question 1.
4 pt = _____ c

Answer:
4 pt = 8 c

Explanation:
There are 2 pints in one cup
4 x 2 = 8.
so, there are 8 cups in 4 pints

Question 2.
6 qt = _____ pt

Answer:
6 qt =24 pt

Explanation:
There are 2 pints in 1 quart.
6 × 2 = 12 pints
There are 2 cups in 1 pint.
12 ×2 =24cups
So, there are 24 cups in 6 quarts.

Question 3.
9 gal = ____ qt
Answer:
9  gal =36  qt

Explanation:
one gallon is equal to 4 quarts
9x 4 = 36 qt

Question 4.
12 gal = _____ pt

Answer:
12 qt =48 pt

Explanation:
There are 2 pints in 1 quart.
12 × 2 = 24 pints
There are 2 cups in 1 pint.
24 ×2 =48cups
So, there are 48 cups in 24 quarts.

Apply and Grow: Practice

Find the equivalent capacity.
Question 5.
30 qt = ____ pt

Answer:
30 qt =120 pt

Explanation:
There are 2 pints in 1 quart.
30 × 2 = 60 pints
There are 2 cups in 1 pint.
60 ×2 =120cups
So, there are 120cups in 30 quarts.

Question 6.
5 gal = ____ pt

Answer:
5 gal = 40 pt

Explanation:
one gallon is equal to 4 quarts
5 x 4 = 20 qt
one quart is equal to 2 pints
20 x 2 =40

Question 7.
9 qt = _____ c

Answer:
9 qt = 36 c

Explanation:
one quart is equal to 4 cups
9 x 4 = 36 cups

Question 8.
8 gal = _____ qt

Answer:
8 gal = 32 qt

Explanation:
one gal is equal to 4 quarts
8 x 4 = 32.

Question 9.
25 pt = _____ c

Answer:
25 pt = 50 c

Explanation:
There are 2 pints in one cup
25 x 2 = 50.
so, there are 50 cups in 25 pints

Question 10.
11 gal = _____ pt

Answer:
11 gal = 88 pt

Explanation:
one gallon is equal to 4 quarts
11 x 4 = 44
one quart is equal to 2 pints
44 x 2 = 88
so, there are 88 pints in 11 gal.

Question 11.
18 gal = ____ qt

Answer:
18 gal =  106 qt

Explanation:
one gal is equal to 4 quarts
18 x 4 =106

Question 12.
16 qt = _____ c
Answer:
one quart is equal to 4 cups

Question 13.
You have a 10-gallon fish tank. How many quarts of water does it take to fill your fish tank?
Answer: 10 x 4 = 40 qt
40 quarts of water takes to fill the fish tank.

Question 14.
DIG DEEPER!
Which measurements are greater than 5 gallons?

Answer: 10 gallons 92 cups

Think and Grow: Modeling Real Life

Example
A berry salad uses 6 pints of blackberries, 2 quarts of strawberries, and 7 cups of blueberries. Which fruit do you use the greatest amount of?

Make a table that shows the relationship between quarts, pints, and cups.

Compare 6 pints, 2 quarts, and 7 cups.
You use the greatest amount as quarts.

Show and Grow

Question 15.
A caterer buys 2 gallons of milk, 12 quarts of lemonade, and 32 pints of apple juice. Which drink does the caterer buy the least amount of?
Answer: pints

Question 16.
You make 4 quarts of soup. You and your friend each eat 1 pint of soup. Will the leftover soup fit into a 10-cup container? Explain.
Answer: 3 pints

Question 17.
DIG DEEPER!
You use 16 gallons of water while taking a shower. Your friend uses 288 cups. Who uses less water? How much less?
Answer: 16 x 4 = 64 quarts
64 x 2 = 128  pints
128 x 2 = 236
288 – 236 = 52.

Capacity in Customary Units Homework & Practice 11.5

Find the equivalent capacity.
Question 1.
7 pt = _____ c

Answer:
7 pt = 14 c

Explanation:
There are 2 pints in one cup
7 x 2 = 14.
so, there are 14 cups in 7 pints

Question 2.
10 qt = _____ pt

Answer:
10 qt =40 pt

Explanation:
There are 2 pints in 1 quart.
10 × 2 = 20 pints
There are 2 cups in 1 pint.
20 ×2 =40cups
So, there are 40 cups in 10 quarts.

Question 3.
8 gal = ______ qt

Answer:
8 x 4 = 36 qt
one gal is equal to 4 quarts.

Question 4.
4 gal = _____ pt

Answer:
4 gal = 36 pt

Question 5.
12 qt = _____ c
Answer:
1 qt = 2 cups
12 x 2 = 24 cups

Question 6.
6 gal = ______ qt
Answer:
6 gal = 28 qt

Explanation:
one gal is equal to 4 qt
6 x 4 = 28 qt

Question 17.
3\(\frac{1}{4}\) gal = _____ pt

Answer:
3.5 x 4 = 13
13 x 2 = 26

Question 8.
4 \(\frac{1}{2}\) pt = _____ c

Answer:
9/2 pt = 9 c

Explanation:
There are 2 pints in one cup
9/2 x 2 = 9.
so, there are 9 cups in 4.5 pints

Question 9.
A bottle holds \(\frac{1}{2}\) quart of liquid. How many cups of water does the bottle hold?
Answer:1 cups of water

Question 10.
Writing
Compare the relationship between pints and cups to the relationship between quarts and pints.

Answer:
1 pint = 2 cups
one quart = 2 pints

Question 11.
Logic
Your friend makes a table of equivalent capacities. What are the labels for the columns?

Answer: cups to quarts

Question 12.
Modeling Real Life
Turning off the faucet while brushing your teeth can conserve 32 quarts of water. Using a low-flow shower head can conserve15 gallons of water. Using a dishwasher can conserve112 pints of water. Which activity conserves the greatest amount of water?

Answer:

Explanation:
There are 2 pints in 1 quart.
52× 2 = 104 pints

Question 13.
Modeling Real Life
Some pitcher plants are large enough to hold 2 gallons of water. A household pitcher holds 16 cups of water. How much more water can a pitcher plant hold than the household pitcher?

Answer:
one gallon equal to 4 parts
2 x 4 = 8
8 quarts are needed.

Review & Refresh

Question 14.
A car dealership owner needs to transport 150 cars and 95 trucks to an island. A ferry can hold 8 vehicles. How many trips with vehicles will the ferry need to make?
Answer: 150 + 95 = 245
245/8 =  30. 8
it has to make almost 30 trips.

Lesson 11.6 Make and Interpret Line Plots

Explore and Grow

Measure your hand length with a ruler. Record the length to the nearest half-inch. Collect the hand lengths of all the students in your class, including yourself. Create a line plot of the results.

Think: How will you label the scale? What title will you give your line plot?

Construct Arguments
What conclusions can you make from the line plot?
Answer:
Teacher length is high when compared to kids
but the difference between the kids are less

Think and Grow: Make Line Plots

Example
You plant 10 seeds. After 6 days, you measure the height of each plant. Make a line plot to display the data.

Step 1: Write the data values as fractions with the same denominator.
The denominators of the data values are 2, 4, and 8. Because 2 and 4 are factors of 8, use a denominator of 8.

Step 2: Use a scale on a number line that shows all of the data values.
Step 3: Mark an X for each data value.

Answer: 3/8

3/8 plant height is most common.

Show and Grow

Question 1.
You survey 10 people about the amount of water each person drinks in 1 day. Make a line plot to display the data.


Which amount of water consumed is the most common?
Answer:
2/8

Explanation:
to make this make the denominator to equal

Apply and Grow: Practice

Question 2.
The table shows the lengths of 10 chameleons in a pet store. Make a line plot to display the data.


Which is most common chameleon length?
Answer:
6/8

Question 3.
A scientist is studying the weights of 15 sugar gliders. Make a line plot to display the data.


How many sugar gliders weigh more than \(\frac{1}{8}\) pound?
Answer:

Question 4.
DIG DEEPER!
Use your line plot from Exercise 3. How many times as many \(\frac{2}{3}\) pound sugar gliders are there as \(\frac{3}{8}[/latex] pound sugar gliders? Explain.

Answer:
2/8

Explanation:
denominator is equalized and the factors are multiplied.

Think and Grow: Modeling Real Life

Example
You record the distances you rode your bike for 10 days. What is the difference in the length of your longest ride and the length of your shortest ride?

Make a line plot. Use a scale that shows all of the data values.

Subtract the shortest ride from the longest ride.
5 − 6 = 1.
The difference in the length of your longest ride and the length of your shortest ride is 1 miles.

Show and Grow

Question 5.
You record the total monthly rainfall for 10 months. What is the difference of the greatest monthly rainfall and the least monthly rainfall?

How much did it rain during the 10 months in all?
Answer:
the total rain fall during all the 10 months is 62/8

Make and Interpret Line Plots Homework & Practice 11.6

Question 1.
The table shows the thicknesses of 10 books in a series. Make a line plot to display the data.

The least common thickness is ______ inch.
There are ______ books that are less than [latex]\frac{5}{8}\) inch thick.
Answer:

The least common thickness is 6/8 inch.
There are 4 books that are less than \(\frac{5}{8}\) inch thick.

Question 2.
DIG DEEPER!
Use your line plot from Exercise 1. How many times as many \(\frac{3}{4}\) inch thick books are there as \(\frac{1}{8}\)-inch thick books?

Answer:
6/8 are more

Question 3.
A zoologist is studying the weights of 15 skinks. Make a line plot to display the data.

Answer:

Question 4.
Reasoning
In Exercise 3, do most of the skinks weigh more than \(\frac{5}{8}\) pound?
Answer:
yes most of the skinks weigh more than \(\frac{5}{8}\) pound.

Question 5.
Modeling Real Life
A painter records the amounts of paint he uses in 10 different rooms. What is the difference of the greatest amount of paint used and the least amount of paint used?

How many gallons of paint were used in all 10 rooms combined?
Answer:
4/2 is least paint used
7/2 is the greatest paint used

Review & Refresh

Write the fraction as a sum of unit fractions.
Question 6.
\(\frac{5}{6}\)
Answer:
0.83

Question 7.
\(\frac{8}{3}\)
Answer:
2.6

Lesson 11.7 Units of Time

Explore and Grow

Use a clock or a stopwatch to help you complete the statements.

1 minute is ______ times as long as 1 second.
1 hour is _______ times as long as 1 minute.
Answer:
1 minute is 60 times as long as 1 second.
1 hour is 60 times as long as 1 minute.

Structure
You know an amount of time in minutes. Without using a clock or a stopwatch, how can you find the amount of time in seconds?
Answer: multiply with 60.

Think and Grow: Find Equivalent Amounts of Time

Units of time include seconds, minutes, hours, days, weeks, months, and years.

Example
Find the number of minutes in 6 hours.
There are ______ minutes in 1 hour.
6 × _____ = _____
So, there are _____ minutes in 6 hours.

answer:
There are 60 minutes in 1 hour.
6 × 60 =120_
So, there are 120 minutes in 6 hours.

Example
Find the number of hours in 4 weeks.

There are ______ days in 1 week.
4 × _____ = ____ days
There are ______ hours in 1 day.
28 × _____ = ______
So, there are ____ hours in 4 weeks.

Answer:
There are 7 days in 1 week.
4 × 7 = 28 days
There are 24 hours in 1 day.
28 × 24 = 672
So, there are 672 hours in 4 weeks.

Show and Grow

Find the equivalent amount of time.
Question 1.
10 min = ______ sec

Answer:
one minute is equal to 60 seconds
10 x 60 =  600 seconds

Question 2.
5 d = _____ h

Answer:
5d = 120 h

Explanation:
one day is equal to 24 hours
5 x 24 = 120 h.

Question 3.
8 wk = _____ d

Answer:
8 wk = 56 days

Explanation:
one week is equal to 7 days
8 x 7 = 56 days

Question 4.
2 d = _____ sec

Answer:
2 d = sec

Explanation:
one day is equal to 24 hours
one hour is equal to 60 seconds
24 x 60 = 2880  sec

Apply and Grow: Practice

Find the equivalent amount of time.
Question 5.
7 yr = ____ wk

Answer:
7yr = 364 wk

Explanation:
one year is equal to 56 weeks
7 x 52 = 364 wk

q6.
4 d = _____ min

Answer:
4 d = 240   min

Explanation:
one day is equal to 60 minutes
4 x 60 = 240 min

Question 7.
3 wk = _____ d

Answer:
3 wk = 21 d

Explanation:
one week is equal to 7 days
3 x 7 = 21 days

Question 8.
6 h = _____ sec

Answer:
6 h =  360 sec

Explanation:
one hour is equal to 60 sec
6 x 60 = 360 sec

Question 9.
2 yr = _____ mo

Answer:
2 yr = 24 months

Explanation:
one year is equal to 12 months
2 x 12 = 24 months

Question 10.
1 wk = _____ h

Answer:
1 wk =  168 hours

Explanation:
one week is equal to 7 days
one day is equal to 24  hours
7 x 24 = 168 hours

Question 11.
24 h = _____ min

Answer:
24 h = 1440  min

Explanation:
one hour is equal to 60 minutes
24 x 60 = 1440 min

Question 12.
10 yr = _____ d

Answer:
10  yr = 3650 d

Explanation:
one year is equal 365 days
365 x 10 = 3650 days

Question 13.
Your friend turns 8 years old today. How many months old is your friend?

Answer:
8 y = 96 months

Explanation:
one year is equal to 12 months
8 x 12 = 96 months
my friend is 96 months old

Question 14.
Writing
Explain how you can show that 3,000 seconds is less than 1 hour.

Answer:
one min is equal to 60 sec
one hour is equal to 60 minutes
60 x 60 = 3600
3600- 3000 = 600 sec
one hour is equal to 3600 minutes
600 sec lesser.

Question 15.
Structure
The number pairs describe the relationship between which two units of time? Explain.
2 and 104
3 and 156
4 and 208
Answer:
2 years is equal to 104 weeks
3 years is equal to 156 weeks
4 years is equal to 208 weeks
year and week relation ship

Think and Grow: Modeling Real Life

Example
Your cousin makes a 3\(\frac{1}{2}\) minute long music video. Your friend makes a 200-second long music video. Who records a longer music video?
Make a table that shows the relationship between minutes and seconds.
Compare 3\(\frac{1}{2}\) minutes to 200 seconds.

Your friend records a longer music video.

Show and Grow

Question 16.
You put a puzzle together in 150 minutes. Your friend puts the same puzzle together in 1hours. Who put the puzzle 2\(\frac{1}{4}\) together faster?
Answer:
one hour is equal to 60 min
You put a puzzle together in 150 minutes
2 x 1/ 4 = 2.25 x 60
= 135 min

Question 17.
In the wild, a California sea lion can live to be 20 years old. In captivity, it can live to be 360 months old. Does a California sea lion live longer in the wild or in captivity? How much longer?

Answer:
one year is equal to 12 months
20 x 12 = 240 months
360 is higher than 240 so in captivity.

Question 18.
Movie A is 98 minutes long. Movie B is 1\(\frac{1}{2}\) hours long. Movie C is 1\(\frac{3}{4}\) hours long. Order the movies from longest to shortest.
Answer:
movie a = 98 min
movie b = 90 min
movie c = 105 min
movies c is longest

Units of Time Homework & Practice 11.7

Find the equivalent amount of time.
Question 1.
9 yr = _____ wk

Answer:
9 yr = 468 wk

Explanation:
one year is equal to 52 week
9 x 52= 468 wk

Question 2.
10 min = _____ sec

Answer:
10 min = 600 sec

Explanation:
one minute is equal to 60 sec
10 x 60 =600 sec

Question 3.
1 wk = _____ h

Answer:
1 wk =  168 hours

Explanation:
one week is equal to 7 days
7 x 24 = 168 hours.

Question 4.
6 yr = _____ mo

Answer:
6 yr = months

Explanation:
one year is equal to 12 months
6 x 12 = 72 months

Question 5.
3 yr = _____ d

Answer:
3 yr = 1095 d

Explanation:
one year is equal to 365 days
3 x 365 = 1095 days

Question 6.
2 d = ______ min

Answer:
2 d =

Explanation:
one day is equal to 24 hours
one hour is equal to 60 min
2 x 24 = 48 hours
48 x 60 = 2880 min

Question 7.
\(\frac{1}{3}\) d = _____ h

Answer:
8 hours

Question 8.
2\(\frac{3}{4}\) yr = ______ wk

Answer:
2. 75 yr
one year is equal 52 week
2. 75 = 143 week

Question 9.
How many hours are in 1 week?

Answer:
one week is equal to 7 days
one day is equal to 24 hours
7 x 24 = 168 hours

Question 10.
YOU BE THE TEACHER
Your friend labels the first column Weeks and the second column Years. Is your friend correct? Explain.

Answer:
yes , my friend is correct the table discribes years and weeks.

Question 11.
DIG DEEPER!
How many days is Newton thinking of?

Answer:
one week is equal to 7 days
one day is equal to 24 hours
7 x 2 = 14
14 x 24 = 336  hours
yes newton is correct.

Question 12.
Modeling Real Life
You have 1\(\frac{1}{2}\) hours before dinner. You want to watch a movie that is 118 minutes long. Do you have enough time to watch the entire movie?

Answer: no

Question 13
DIG DEEPER!
The world record for holding a person vertically overhead with one hand is 1\(\frac{1}{12}\) minutes. The world record for holding a person horizontally overhead with one hand is 76 seconds. Which world record is longer? How much longer?
Answer:
one minute is equal to 60 sec
13/ 12 = 1.08
1. 08 x 60 = 65 sec
The world record for holding a person horizontally overhead with one hand is 76 seconds.
is longer

Review & Refresh

Find the product. Check whether your answer is reasonable.
Question 14.
Estimate: _____
418 × 3 = _____
Answer:
1254

Question 15.
Estimate: _____
729 × 5 = _____
Answer:
3645

Question 16.
Estimate: _____
9 × 3,026 = _____
Answer:
27234

Lesson 11.8 Problem Solving: Elapsed Time

Explore and Grow

Use a clock to help answer each question.

How much time has passed since you woke up?

How much time has passed since school started?
Answer:
If my school started at 9 o’ clock and now it is 3 o’ clock then the time passed is 6 hours

Construct Arguments
Explain to a partner how you found your answers.
Answer:
The time which had passed away we have to calculate that.

Think and Grow: Problem Solving: Time Intervals

Example
A dinosaur museum closes in 1\(\frac{1}{2}\) hours. Do you have enough time to spend 20 minutes at each of 4 exhibits in the museum?

Understand the Problem
What do you know?
• The museum closes in 1\(\frac{1}{2}\) hours.
• You want to spend 20 minutes at at each of 4 exhibits.

What do you need to find?
• You need to find whether you have enough time to spend 20 minutes at the each of 4 exhibits.museum closes.

Answers:
a. 1 x 1/2 = 3/ 2
1.5
one hour is equal to 60 min
1.5 x 60 = 90 min
b. there are 4 exhibits each takes 20 min
4 x 20 = 80 mins
90 – 80 = 10
c. so the time is sufficient

Make a Plan
How will you solve?
• Find the number of minutes until the museum closes.
• Find the total number of minutes it takes to visit the exhibits.

Solve
Step 1: Find the number of minutes until the museum closes.
There are ______ minutes in 1 hour.
1\(\frac{1}{2}\) × ____ = ______
There are _____ minutes until the museum closes.

Step 2: Find how many minutes it takes to visit the exhibits.

It takes _____ minutes to visit the exhibits, which is ______ than 90 minutes.

You ______ have enough time to visit the exhibits.

Show and Grow

Question 1.
You have a total of 9\(\frac{1}{2}\) minutes to complete 4 tasks in a video game. Do you have enough time to spend 150 seconds on each task?

Answer:
total time is 9 x1/2
19 / 2
= 9.5 min
9.5 x 60 = 570 sec
there are 570 sec in total
we have 4 tasks 150 s each
4 x 150= 600
600 – 570 = 30
we want more thirty sec to finish the task.

Apply and Grow: Practice

Understand the problem. What do you know? What do you need to find? Explain.
Question 2.
You spend 1\(\frac{1}{4}\) hours exploring the woods. Then you spend 25 minutes sitting at a campfire. How many total minutes do you spend exploring the woods and sitting at the campfire?

Answer:
my spend time is 1 x 1/4 = 5/4
=1.25
one hour is equal to 60 minutes 25 minutes sitting at a campfire.
1.25 x 60 = 75
Total minutes do me spend exploring the woods and sitting at the campfire is 75 minutes

Question 3.
A bodybuilder spends 2\(\frac{1}{2}\) hours lifting weights. She spends 20 minutes running. How many more minutes does she spend lifting weights than running?

Answer:
lifting weights is 2 x 1/2
3/2 = 1.5
1.5 x 60 = 90 min
running = 20
90 – 20= 70
she spend lifting weighs than running is 70 minutes.

Understand the problem. Then make a plan. How will you solve? Explain.
Question 4.
You visit an animal shelter for 1\(\frac{3}{4}\) hours. You spend an equal amount of time with each of the 7 animals. How many minutes do you spend with each animal?

Answer:
The animal shelter visiting time is 1 x 3/4 =
7 / 4 = 1.75
one hour is equal to 60 minutes
1.75 x 60= 105 minutes
an equal amount of time with each of the 7 animals
105 / 7
= 15minutes is the time me spend with each animal

Question 5.
A skate park closes in 3\(\frac{1}{4}\) hours. Do you have enough time to spend 15 minutes practicing each of 13 different skateboard tricks?

Answer:
A skate park closes at 13/4
3.25
one hour is equal to 60 minutes
3.25 x 60 = 195 min
15 x 13 =195
yes I have  enough time to spend 15 minutes practicing each of 13 different skateboard tricks.

Question 6.
A basketball team practices drills for 20 minutes and then scrimmages for 40 minutes. The overall practice time is divided evenly into3 sessions. How many minutes is each session?

Answer:
drills = 20 min
scrimmages= 40 mins
drills + scrimmages
20 + 40 =60min
the total time is 60 min
it is divided to 3 equal parts that is 60/ 3 = 20 mins

Question 7.
A high school music concert is 55 minutes long. The band plays25 minutes to start the concert. The rest of the concert time is divided equally among the choir, band, orchestra, and jazz ensemble. For how many minutes does the orchestra play?

Answer:
Total time is 55 mins
25 mins to start the the concert
55-25= 30
there are 4 types
choir, band, orchestra, and jazz ensemble
orchestra plays 7.5 mins long

Think and Grow: Modeling Real Life

Example
Field day starts at 12:15 .. and ends at 3:30 ..You spend an equal amount of time at each activity.How much time do you spend at each activity?

Think: What do you know? What do you need to find? How will you solve?
Step 1: How long is field day?

Step 2: How many minutes long is field day?
There are ______ minutes in 1 hour. _____ × _____ = _____
____ + 15 = ______ Add 15 minutes.
Field day is ______ minutes long.
Step 3: Divide the total amount of time by the number of field day activities.

You spend _____ minutes at each activity.

Answer:
The field day is 3 hours 15 mins long
There are 60 minutes in 1 hour. 60 × 60 x 60 = 180
180+ 15 =  Add 15 minutes.
Field day is 195 minutes long.
Divided the total amount of time by the number of field day activities.

Show and Grow

Question 8.
You start exercising at 6:30 A.M. and finish at 7:45 A.M. You spend an equal amount of time stretching, walking, and running. How much time do you spend doing each exercise?

Answer:
The total exercise time is 6:30 – 7.45 = 1hr 15 min
1 hr = 60 min
60 + 15 = 75/3 = 25 mins
time do you spend doing each exercise is 25 mins

Problem Solving: Elapsed Time Homework & Practice 11.8

Understand the problem. Then make a plan. How will you solve? Explain.
Question 1.
It takes Descartes 1\(\frac{1}{4}\) minutes to run 3 laps around his house. Each lap takes him the same amount of time. How many seconds does it take him to run each lap?

Answer:
5/4 = 1.25 x 60 = 75sec
one minute is equal to 60 sec
Each lap takes him the same amount of time 75 seconds it take him to run each lap.

Question 2.
You watch television for 60 minutes. There are 18 minutes of commercials. The rest of the time is divided evenly between 2 shows. How many minutes long is each show?

Answer:
Total watching time is 60m
18 mins for commercial 60 – 18 = 42
The rest of the time is divided evenly between 2 shows 42/2 = 24 minutes long is each show.

Question 3.
You spend 5\(\frac{1}{2}\) hours at the park this week. You spend 210 fewer minutes at the library than you do at the park. How many minutes do you spend at the library?

Answer:
hours at the park this week is 11/2 = 5.5
5.5 x 60 = 330
330 – 210 = 120 minutes.

Question 4.
Your class spends \(\frac{1}{4}\) hour setting up an experiment. You spend 55 more minutes recording data than you do setting up the experiment. For how many minutes do you record data?

Answer:
1/4 of hour is 60/4 =15min
You spend 55 more minutes recording data than you do setting up the experiment.
55-15 = 40 minutes  you record data.

Question 5.
You have 7\(\frac{1}{2}\) minutes left to successfully complete 3 rock climbing walls. It normally takes 155 seconds to climb each wall. Do you have enough time to climb all three walls?

Answer:
15/2 = 7.5
=450 one min is equal to 60 sec
It normally takes 155 seconds to climb each wall 155 x 3 = 465
 time to climb all three walls 465 – 450 = 15 sec less time.
The time does not enough to climb all the three walls

Question 6.
Writing
Write and solve a two-step word problem involving elapsed time.
Answer :
Sam and his mom arrive at the doctor’s office at 2:30 p.m. They see the doctor at 3:10 p.m. How long was their wait?
40 mins

Question 7.
Modeling Real Life
A family attends a family expo from 1:30 P.M. to 5:15 P.M. They spend an equal amount of time at each activity. How many minutes do they spend at each activity?

Answer:
There are 5 family expo activities timing from 1:30 to 5:30 is 4 hours
4 x 60 = 240 min
240/5 = 48 min they spend an equal amount of time at each activity.

Review & Refresh

Find the product.
Question 8.
20 × 50
Answer:
100

Question 9.
38 × 30
Answer:
1140

Question 10.
60 × 82
Answer:
4920

Lesson 11.9 Mixed Measures

Explore and Grow

Measure your height, the height of a classmate, and the height of your teacher. Write each height in the table.

Who is taller, you or your classmate? How much taller?

Who is taller, you or your teacher? How much taller?
Answer:

Structure
Without measuring, how can you find each height in inches?
Answer:
by multiplying with 12

Think and Grow: Adding and Subtracting Mixed Measures

Example
Add 3 feet 4 inches and 2 feet 5 inches.

The differences is ____ hours ____ minutes
Answer:
The differences is 2 hours 48 minutes

Show and Grow

Add or Subtract
Question 1.

Answer:
5 days  21 hours

Question 2.

Answer:
3 T     1500 lb

Question 3.

Answer:
2 gal 14 c

Apply and Grow: Practice

Add or Subtract
Question 4.

Answer:
3 yr 7 mon

Question 5.

Answer:
8 lb 11 oz

Question 6.

Answer:
9 yd 2 ft

Question 7.

Answer:
12 gal 3 qt

Question 8.

Answer:
43 sec

Question 9.

Answer:
16 mi  591 yd

Question 10.

Answer:
1 wk 5 d

Question 11.

Answer:
2 pt  1 c

Question 12.

Answer:
4 yr   36 wk

Question 13.

Answer:
3 qt 1 pt

Question 14.

Answer:
3 mi 4851ft

Question 15.

Answer:
12 gal 9 pt

Question 16.
A truck driver transports new vehicles. The total weight of the cargo is 14 tons 1,544 pounds. The truck driver drops off 1 car that weighs 1 ton1,693 pounds. What is the weight of the cargo now?

Answer:
12 ton 1851 pounds

Question 17.
DIG DEEPER!
Find the unknown numbers.

Answer:

Question 18.
YOU BE THE TEACHER
Newton finds the difference between 5 yards 1 foot and 2 yards 2 feet. Is Newton correct? Explain.

Think and Grow: Modeling Real Life

A commercial airplane is 121 feet 6 inches shorter than Air Force One. How long is the commercial airplane?

Subtract 121 feet 6 inches from the length of Air Force One.

The commercial airplane is ______ feet ______ inches long.
Answer:
The commercial airplane is 110 feet 4 inches long.

Show and Grow

Question 19.
An art teacher has 3 quarts 1 pint of yellow paint. The teacher has 1 quart 2 pints less red paint than yellow paint. How much red paint does the teacher have?
Answer: 1 quart 3 pints

Question 20.
A 1-month-old puppy weighs 7 pounds 3 ounces. How much does the puppy weigh after 3 months?

Answer:
10 lb 2 oz

Question 21.
DIG DEEPER!
How long do you work on your science fair project in all?

Answer: each part is raising by hundred

Mixed Measures Homework & Practice 11.9

Add or Subtract
Question 1.

Answer:
4 lb 7 oz

Question 2.

Answer:
2 min 5 sec

Question 3.

Answer:
3 mi 825 ft

Question 4.

Answer:
1 t

Question 5.

Answer:
6 gal 2 qt

Question 6.

Answer:
5 hr  47 min

Question 7.

ans:
9 yd 2 ft

Question 8.

Answer:
6 pt

Question 9.

Answer:
2 ft 10 in

Question 10.
You are making punch. You use 3 quarts 1 pint of pineapple juice and 2 quarts 1 pint of orange juice.How much juice do you use?
Answer:
5 quart 2 pints

Question 11.
Writing
Explain when you need to regroup when subtracting mixed measures.
Answer:
To find out the lengths

Question 12.
Modeling Real Life
How much longer did it take one person to cycle the length of South America than a two-person team?

Answer:
8 days 4 hours 2 minutes

Question 13.
DIG DEEPER!
It rains 1 inch each day for 3 days. A meteorologist says that if the rain had been snow,each inch of rain would have been 1 foot 1 inch of snow. What would have been the total snowfall for the 3 days?

Answer:
3 foot 3 inch

Review & Refresh

Subtract
Question 14.
\(\frac{5}{10}-\frac{1}{10}\) = ______
Answer:
0.5 -0.1
= 0.4

Question 15.
\(\frac{9}{5}-\frac{4}{5}\) = ______
Answer:
1.8-0.8=
1

Question 16.
\(\frac{11}{12}-\frac{7}{12}\) = _____
Answer:
0.91-0.58=
0.33

Understand Measurement Equivalence Performance Task

You and a friend make a gravity-powered racer for an upcoming race.

Question 1.
The rules state that the racer must be less than 40 inches wide and less than 96 inches long. The weight of the racer must be less than 70 pounds.
a. Your racer is 2 feet wide and 1 yardlong. Does your racer meet the size requirements? Explain.
b. Your racer weighs 65 pounds without wheels, and each wheel weighs 22 ounces. Is your racer under the weight limit? Explain.
Answer:
a) one feet is equal to 12 inch
2 x 12 = 24
the required measurement is 40 inch
the racer does not met the requirments.
b) one pound  equal to 16 ounce
so the racer original weight is 64 pounds 4 ounce
the required weight is 70 pounds /
so he is qualified

Question 2.
You test your racer on a track. The length of the track is \(\frac{1}{2}\) mile. What is the length of the track in feet?

Answer:
one mile is equal 5280 feet
5280/ 2 = 2640 feet
the track length is 2640

Question 3.
The table shows the race times for all of the teams.

a. Make a line plot to display the data.
b. How many seconds later did the last team finish than the first team?
Answer: after one minute

Question 4.
After the race, you drink 5 cups of water and your friend drinks 3 pints of water. Who drinks more water? How much more?

Answer:
my friend drank the more water
one pint is equal to 2 cups
3 x 2 = 6
I drank 5 cups my friend drink 6 cups

Understand Measurement Equivalence Activity

Conversion Flip and Find
Directions:
1. Choose which conversion cards you will play with.
2. Place the cards face down on the board.
3. Players take turns flipping two cards.
4. If your two cards show equivalent measures, keep the cards. If your cards show different measures, flip the cards back over.
5. The player with the most matches wins!

Understand Measurement Equivalence Chapter Practice

11.1 Length in Metric Units

Find the equivalent length.
Question 1.
7 km = _____ m

Answer:
7 km = 7000m

Explanation:
one kilometer is equal to 1000m
7 x 1000= 7000m
so there are 7000 meter in 7 km

Question 2.
9 m = _____ mm

Answer:
9 m = 9000mm

Explanation:
one meter is equal to 1000 millimeter
9 x 1000 = 9000
so there are 9000 mm in 9 m.

Question 3.
3 cm = _____ mm

Answer:
3 cm = 30 mm

Explanation:
one cm is equal to 10 mm
3 x 10 = 30mm
so there are 30mm in 3 cm

Question 4.
5 km = _____ cm

Answer:
5 km = 500000 cm

Explanation:
one kilometer is equal to 1000 m
5 x 1000 = 5000m
one meter is equal to 100 cm
5000 x 100 = 500000cm.

11.2 Mass and Capacity in Metric Units

Find the equivalent mass.
Question 5.
3 kg = _____ g

Answer:
3 kg = 3000g

Explanation:
one kg is equal to 1000 g
3 x 1000 = 3000g
so there are 3000g in 3 kg.

Question 6.
7 kg = _____ g

Answer:
7 kg = 7000g

Explanation:
one kg is equal to 1000g
7 x 1000 = 7000g
so there are 7000 g in 7 kg

Question 7.
8 kg = _____ g

Answer:
8 kg = 8000g

Explanation:
one kg is equal to 1000 grams
8 x 1000 = 8000g
so there are 8000g in 8 kg

Question 8.
46 kg = ____ g

Answer:
46 kg = 46000g

Explanation:
one kg is equal to 1000 g
46 x 1000= 46000g
so there are 46000 g in 46kgs

Find the equivalent capacity.
Question 9.
2 L = _____ mL

Answer:
2 L = 2000ml

Explanation:
one liter is equal to 1000ml
2 x 1000 = 2000l
so there are 2000 ml in 2L

Question 10.
10 L = _____ mL

Answer:
10 L = 10000ml

Explanation:
one liter is equal to 1000ml
10 x 1000 = 10000l
so there are 10000 ml in 10L

Question 11.
4 L = ____ mL

Answer:
4 L = 4000ml

Explanation:
one liter is equal to 1000ml
4 x 1000 = 4000l
so there are 4000 ml in 4L

Question 12.
98 L = ____ mL

Answer:
98 L = 98000ml

Explanation:
one liter is equal to 1000ml
98 x 1000 = 98000l
so there are 98000 ml in 98L

Question 13.
What is the mass of the potatoes in grams?

Answer:
5 kg = 5000g

Explanation:
one 1 kg is equal to 1000g
5 x 1000 g = 5000g

11.3 Length in Customary Units

Find the equivalent length.
Question 14.
8 ft = ___ in.

Answer:
one feet is equal to 12 inch
8 x 12 = 96inch

Question 15.
10 yd = _____ ft

Answer:
10 yd = 30 ft

Explanation:
one yard is equal to 3 feet
10 x 3 = 30 feet

Question 16.
12 yd = _____ in.

Answer:
12 yd = 432 in.

Explanation:
one yard is equal to 3 feet
12 x 3 =36 feet
one feet is equal to 12 inch
36 x 12 = 432inch.

Question 17.
\(\frac{3}{4}\) mi = _____ yd
Answer:
one mile is equal to 1760 yard
3/ 4 of 1760 is 1320

Question 18.
Modeling Real Life
You have a 4-foot-long roll of magnetic tape. You use 2 inches for each picture you hang on the refrigerator. How many pictures can you hang?

Answer:
I have 4 foot of magnetic tape
one foot is equal to 12 inch
4 x 12 = 48
48/2 = 24 pictures i can paste

11.4 Weight in Customary Units

Find the equivalent weight.
Question 19.
4 T = ______ lb

Answer:
4 t = 8000lb

Explanation
one ton is equal to 2000 pounds
4 x 2000 = 8000 pounds

Question 20.
15 lb = _____ oz

Answer:
15 lb = 240 oz

Explanation:
one pound is equal to 16 ounce
15 x 16 = 240 ounce
there are 240 ounce in 15 pounds

Question 21.
12 lb = _____ oz

Answer:
12 lb = 192 oz

Explanation:
one pound is equal to 16 ounce
12 x 16 = 192 ounce
there are 192 ounce in 12 pounds

Question 22.
15 T = ______ lb

Answer:
15 t = 30000lb

Explanation
one ton is equal to 2000 pounds
15 x 2000 = 30000 pounds

Question 23.
2\(\frac{1}{2}\) lb = _____ oz
Answer:
one pound is equal to 16 ounce
2. 5 pound is equal to 40 ounce

Question 24.
\(\frac{3}{4}\) T = _____ lb
Answer:
1500 pounds

11.5 Capacity in Customary Units

Find the equivalent capacity.
Question 25.
6 pt = _____ c

Answer:
6 pt = 12 cups

Explanation:
one pint is equal to 2 cups
6 x 2 = 12 cups
so there are 12 cups in 6 pints

Question 26.
3 qt = ______ pt

Answer:
3 qt = 6 pt

Explanation:
one quart is equal to 2 pints
3  x2 = 6 pints
so there are 6 pints 3 quarts

Question 27.
9 gal = ______ qt

Answer:
9 gal = 36 quarts

Explanation:
one gallon is equal to 4 quarts
9 x 4 = 36 quarts
so there are 36 quarts in 9 gal

Question 28.
2 gal = ______ pt

Answer:
2 gal = 16 pt

Explanation:
one galllon is equal to 4 quarts
one quart is equal to 2 pints
2 x 4 = 8 quarts
8 x 2 = 16 pints

Question 29.
10\(\frac{3}{4}\) gal = ______ pt
Answer:
3 / 4 of one gallon
10. 75 gal is equal to 86 pints

Question 30.
6\(\frac{1}{2}\) pt = _____ c
Answer:
6 x 0.5= 6.5
6.5 x 2= 13 cups

11.6 Make and Interpret Line Plots

Question 31.
A scientist is studying the lengths of 15 sea horses. Make a line plot to display the data.

Answer:

Question 32.
Precision
Use the line plot in Exercise 31. How many times as many \(\frac{3}{8}\)-inch sea horses are there as \(\frac{1}{4}\)-inch sea horses? Explain.

Answer: 8 times of 3/8 sea horses are there.

Question 33.
Reasoning
In Exercise 31, are most of the sea horses less than \(\frac{5}{8}\) inch long? Explain.
Answer:
each sea horse is greater than 5/8.
according to the table

11.7 Units of Time

Find the equivalent amount of time.
Question 34.
5 yr = _____ wk
Answer:
one year is equal to 52 week
5 x 52 = 260wk

Question 35.
15 min = _____ sec
Answer:
one minute is equal to 60 sec
15 x 60 = 900 sec

Question 36.
\(\frac{1}{3}\) d = _____ h
Answer:
one day is equal to 24 hours
24/ 3 = 8 hours.

Question 37.
1\(\frac{1}{2}\) yr = _____ wk
Answer:
one year is equal to 52 week
one and half year is equal to 76 wk

11.8 Problem Solving: Elapsed Time

Question 38.
A gymnastics competition is 2\(\frac{3}{4}\) hours long. The competition time is divided equally among 5 age groups. For how many minutes does each age group perform?

Answer:
each team participates 41 minutes long

11.9 Mixed Measures

Add or subtract
Question 39.

Answer:
11 yr 10 mo

Question 40.

Answer:
8 gal 1 qt

Question 41.

Answer:
11 pints 1 cup

Question 42.

Answer:
6 yd 2 feet
one yard is equal to 3 feet.

Question 43.

Answer:  4 days 15 h.
one day is equal to 24 hours

Question 44.

Answer:
8 miles 1651 yd
one mile is equal to 1760 yards

Understand Measurement Equivalence Cumulative Practice

Question 1.
Four laps around a track is equal to1 mile. You run 3 laps around the track. Which number line show show many miles you run?

Answer:
option b

Question 2.
When estimating to find the product of 25 and 32, which expressions will give an estimate that is greater than the product of 25 and 32?

Answer:
option a

Question 3.
A bottle of sand art is \(\frac{3}{8}\) full of purple sand and \(\frac{3}{8}\) full of blue sand. The rest of the bottle is full of green sand. How much of the bottle is filled with both purple sand and blue sand?

Answer:
option c
is true

Question 4.
Which statements are true?

Answer:
option c is wrong

Question 5.
Compare the fractions using benchmarks. Which comparisons are true?

Answer:
option b is wrong statement

Question 6.
What number is shown by the model?

Answer:
option c
5/10 = 0.5

Question 7.
Which fraction cannot be written as a mixed number?

Answer:
option d

Question 8.
What is the missing number in _____ ÷ 2 = 400?
A. 200
B. 800
C. 8,000
D. 600
Answer:
option b
800/ 2 = 400.

Question 9.
Which statements are true?

Answer:
option c
1000 m is equal to 1 kilometer

Question 10.
Multiply 2 × 3\(\frac{5}{6}\).
A. 6\(\frac{5}{6}\)
B. 7\(\frac{4}{6}\)
C. 5
D. \(\frac{5}{36}\)
Answer:
option a

Question 11.
Which one does not belong?
A. \(\frac{3}{10}\)
B. 0.30
C. 0.03
D. \(\frac{30}{100}\)
Answer:
option d

Question 12.
Which expression shows \(\frac{4}{3}\) as a sum of unit fractions?

Answer:
option d
4 / 3 is represented as 1 / 3 + 1 / 3 + 1/ 3 + 1 / 3.

Question 13.
Look at the dot pattern below. How many dots are in the 112th figure?

Answer: 448 dots

Question 14.
Which show 5 hundredths?

Answer:
option a 5/100

Question 15.
A child ticket costs $12 less than an adult ticket. In 1 day, 25 adult tickets and 34 child tickets are sold.

Part A How much money was raised from adult tickets?
Part B How much money was raised from child tickets?
Part C How much more money was raised from child tickets than from adult tickets? Explain.
Answer:
a. $65
b. $12
c.  $ 53

Question 16.
Which measures are equivalent to8 gallons?

Answer:
32 quarts

Question 17.
You want to find 4 × 598 using the Distributive Property. You begin solving as shown. What is your next step?
4 × 598 = 4 × (600 – 2)
A. 4 × 600 × 2
B. (4 × 600) + (4 × 2)
C. (4 × 600) – (4 × 2)
D. (4 × 600) – 2
Answer:
option c
formula: a x  (b – c)
4 (600-2)
4 x 600 – 4 x2

Question 18.
A recipe calls for \(\frac{3}{4}\) cup of peanut butter. You make 3 batches of the recipe. Which expressions show how many cups of peanut butter you use?

Answer:
3 x 3/4
option c

Understand Measurement Equivalence STEAM Performance Task

An electrical circuit is a pathway of wires that electricity can flow through. Many homes have an electrical panel that provides power to electrical circuits. The circuits are connected to electrical outlets throughout the home.
Question 1.
Watts are the measure of how much power a circuit can provide. Every electrical current has two components: volts and amps.
Watts = volts × amps

a. For a wire that carries 120 volts and 20 amps, how many watts of power are available?
b. For a wire that carries 240 volts and 15 amps, how many watts of power are available?
Answer:
a. watts = volts x amps
120 x 20 = 2400
2400 watts of power are available
b. watts = volts x amps
240 x 15= 3600
for a wire that carries 240 v and 15 a the power of watts available are 3600.

Question 2.
An electrician checks the circuits in your house.
a. One of the circuits has a maximum capacity of 15 amps. The electrician recommends that you only use \(\frac{4}{5}\) of the total amps on the circuit. How many amps should be used?
b. The wire from this 15-amp circuit carries 120 volts. How many watts should be used on this circuit?

c. Your toaster is plugged in to the 15-amp circuit. Use the table to find another appliance that can be used on the same circuit and stay within the recommended amount of amps.

d.Can you run the microwave and the refrigerator on the15-amp circuit? Explain.
Answer:
yes by the above table recordings

Question 3.
You are decorating for a party at your house.
a. There are 15 bulbs on a string of lights. Each bulb uses 12 watts of energy. How many watts of energy does one string of lights use?

b. You connect 7 strings of lights together. Can the lights be plugged into a 15-amp circuit, or is a 20-amp circuit needed? Explain.
c. The length of each string is 20\(\frac{3}{4}\) feet. What is the total length of all 7 strings of lights?
d. Five of the bulbs burn out. Of the bulbs that are lit, \(\frac{2}{10}\)are purple, \(\frac{1}{10}\) are blue, \(\frac{2}{10}\) are green, and the rest are red.What fraction of the bulbs are red?
e. How many more bulbs are purple than blue?
f. The lights are plugged in from 4:35 P.M. until 9:35 P.M. Each hour that the lights are on costs about $0.18 in electricity.What is the total cost to have the lights on for the party?

Answer:
a. one bulb = 8 watts
one string = 15 bulbs
8 x 15 = 120 watts
b.  7 x 120 = 840 watts make an ampire 15 amp wire is enough
1 amp = 120 watt
15 amp 15 x 120 = 1800 watt capacity circuit
c.   145
d.    0.2 are purple
0.1 is blue
0.2 are red
the fraction of the bulbs are red
e.     0.1bulbs are purple than blue
f.     5 x 0.18
= 5.08
is the total cost to have the lights on for the party

Conclusion:

We wish the information provided in this article regarding the Big Ideas Math Answers Grade 4 Chapter 11 Understand Measurement Equivalence Circumference, Area, and Volume is beneficial for all the students. Make use of the given links and practice well for the exams. If you have any queries about Big Ideas Math Answers Grade 4 Chapter 11 Understand Measurement Equivalence you can post your comments in the below section.

Big Ideas Math Grade 3 Chapter 7 Round and Estimate Numbers Answers PDF link is available here. Students who have been looking for the solutions of BIM Book Grade 3 Chapter 7 can download the solution key provided in pdf format and begin preparation. This answer key is useful to complete the homework within time. Students can get the answers for every question in BIM Book 3rd Grade 7th Chapter Round and Estimate Numbers in the following sections.

Big Ideas Math Book 3rd Grade Answer Key Chapter 7 Round and Estimate Numbers

BIM Book Grade 3 Chapter 7 Round and Estimate Numbers includes the topics like Place value, Round Numbers Using a Number Line, Round Numbers Using Place Value, Estimate Sums, and Estimate Differences. After preparing these lessons, you will find the performance task section where you can check skills. To become an expert in maths, you need to prepare as per Big Ideas Math Answers Grade 3 Chapter 7 Round and Estimate Numbers.

The solutions provided here are solved by experts in mathematics. So, download Big Ideas Math Book 3rd Grade 7th Chapter Round and Estimate Numbers Answer Key PDF. You can also get the direct links for every lesson in the below sections. Just tap on those links and get the answers easily.

Lesson 1: Place value

• Lesson 7.1 Place value
• Place value Property Homework & Practice 7.1

Lesson 2: Round Numbers Using a Number Line

• Lesson 7.2 Round Numbers Using a Number Line
• Round Numbers Using a Number Line Homework & Practice 7.2

Lesson 3: Round Numbers Using Place Value

• Lesson 7.3 Round Numbers Using Place Value
• Round Numbers Using a Place Value Homework & Practice 7.3

Lesson 4: Estimate Sums

• Lesson 7.4 Estimate Sums
• Estimate Sums Homework & Practice 7.4

Lesson 5: Estimate Differences

• Lesson 7.5 Estimate Differences
• Estimate Differences Homework & Practice 7.5

Performance Task

• Round and Estimate Numbers Performance Task
• Round and Estimate Numbers Activity
• Round and Estimate Numbers Chapter Practice

Lesson 7.1 Place value

Explore and Grow
Model each number. Write each number in expanded form.

130
310
103

Answer:
100+30+0=130
300+10+0=310
100+00+3=103
Reasoning
Which number is the greatest? How do you know?

Answer: 310 is the greatest number because the number value of the digit in hundreds place is great compared to others numbers i.e 103 and 130.

Think and Grow: Place value

Find the value of the underlined digit.
Example
253

Expanded form: 200 + 50 + 3
The digit 5 has a value of _5 tens_, or __50__.

Example
517

Expanded form: _500__ + __10__ + ___7__
The digit 5 has a value of __5 hundreds___, or ___500__.

Show and Grow
Circle the value of the underlined digit.

Question.

Answer:

Circle the value of the underlined digit.

Question.

Answer:

Write the value of the underlined digit

Question 8.
152

Answer:

The value of the place of  one digit in the number 152.
The digit 1 has a place value of  100 because its in the hundreds place.
Question 9.
725

Answer:

The value of the place of the five digit in the number 725.
The digit 5 has a place value of one’s because its in the one’s place.

Question 10.
2o7

Answer:

The value of the place of the digit in the number 207.
The digit 0 has a place value of  tens because its in the tens place.

Identify the value of each digit.

Question 11.

Answer:

The value of 3 in 386 = 300
The value of 8 in 386 = 80
The value of 6 in 386 = 6
Question 12.

Answer:

The value of 5 in 569 = 500
The value of 6 in 569 = 60
The value of 9 in 569 = 9

Question 13.
Reasoning
Use each number card once to write the greatest three-digit number. Then use each number card once to write the least three-digit number.

Answer:
Among three digits given hundreds place= 8( its greater than other 2 three digits)
Among 2 digits three digits given tens place= 5 (its greater than other  2)
Last ones place = 2(its left out digit)

Think and Grow: Modeling Real Life
Newton spends two hundred two dollars atthe grocery store.Descartes spends $220. Who spends more money?
Make quick sketches:


_____ spends more money.

Answer:
Newton amount spent value= 2 hundred and 2 dollar
= $200+ $2=$202
Descartes amount spent value= $220
$202   <    $220
Hence, Descartes spends more money.

Show and Grow

Question 4.
Newton spends one hundred forty-two dollars at the pet store. Descartes spends $124. Who spends more money?

Answer:
Newton amount spent value= 1 hundred and forty two dollar
= $100+ $40+$2=$142
Descartes amount spent value= $124
$142   >    $124
Hence, Newton spends more money.

Question 15.
DIG DEEPER!
Order the weights of the zoo animals from least to greatest. Which animal weighs the least? Which animal weighs the most?

Answer:

Lion weighs the least of a weighting of 404 pounds.
Zebra weighs the most of weighting of 474 pounds.

Place value Property Homework & Practice 7.1

Circle the value of the underlined digit.

Question.

Answer:




The value of 2 in 325= 20
The value of 1 in 541= 1
The value of 6 in 653= 600
The value of 4 in 194= 4

Write the value of the underlined digit

Question 5.
736

Answer:

7 X 100 +3 X 10 +6 X 1=700+30+6 = 736
The value of 3 digit in the number 736 is 3 tens or 30.

Question 6.
962

Answer:

9 X 100+6 X 10+2 X 1=900+60+2 = 962
The  value of 9 digit in the number 962 is 9 hundreds or 900.

Question 7.
897

Answer:

8 X 100+9 X 10+7 X 1=800+90+7 = 897
The value of 7 digit in the number 897 is  7 one’s or 7.

Identify the value of each digit.

Question 8.