Eureka Math

Engage NY Eureka Math 3rd Grade Module 5 Lesson 18 Answer Key

Eureka Math Grade 3 Module 5 Lesson 18 Problem Set Answer Key

Place the two fractions on the number line. Circle the fraction with the distance closest to 0. Then, compare using >, <, or =. The first problem is done for you.
Question 1.

Explanation :
Number line is divided into 4 as the denominator of the numbers is 4 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
\(\frac{1}{4}\) < \(\frac{3}{4}\)

Question 2.

Answer:

Explanation :
Number line is divided into 6 as the denominator of the numbers is 6 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
\(\frac{2}{6}\) < \(\frac{3}{6}\)

Question 3.

Answer:

Explanation :
Number line is divided into 4 as the denominator of the numbers is 4 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
\(\frac{1}{2}\) > \(\frac{1}{4}\)

Question 4.

Answer:

Explanation :
Number line is divided into 6 parts as the denominator of the numbers is 6 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
\(\frac{2}{3}\) > \(\frac{2}{6}\)

Question 5.

Answer:

Explanation :
Number line is divided into 8 parts as the denominator of the numbers is 8 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
\(\frac{11}{8}\) < \(\frac{7}{4}\)

Question 6.
JoAnn and Lupe live straight down the street from their school. JoAnn walks \(\frac{5}{6}\) miles and Lupe walks \(\frac{7}{8}\) miles home from school every day. Draw a number line to model how far each girl walks. Who walks the least? Explain how you know using pictures, numbers, and words.
Answer:

Explanation :
Distance from Joann Home to School = \(\frac{5}{6}\)
Distance from Lupe home to School = \(\frac{7}{8}\)
\(\frac{7}{8}\) is greater than \(\frac{5}{6}\)
so, \(\frac{5}{6}\)  is lesser than \(\frac{7}{8}\) .

Question 7.
Cheryl cuts 2 pieces of thread. The blue thread is \(\frac{5}{4}\) meters long. The red thread is \(\frac{4}{5}\) meters long. Draw a number line to model the length of each piece of thread. Which piece of thread is shorter? Explain how you know using pictures, numbers, and words.
Answer:

Explanation :
Length of Blue Thread = \(\frac{5}{4}\)
Length of Red Thread = \(\frac{4}{5}\)
\(\frac{5}{4}\) > \(\frac{4}{5}\)
Red Thread is shorter thread . as shown in above figure.

Question 8.
Brandon makes homemade spaghetti. He measures 3 noodles. One measures \(\frac{7}{8}\) feet, the second is \(\frac{7}{4}\) feet, and the third is \(\frac{4}{2}\) feet long. Draw a number line to model the length of each piece of spaghetti. Write a number sentence using <, >, or = to compare the pieces. Explain using pictures, numbers, and words.
Answer:

Explanation :
Length of 1st Noodle = \(\frac{7}{8}\)  feet.
Length of 2nd Noodle = \(\frac{7}{4}\) feet.
Length of 3rd Noodle = \(\frac{4}{2}\) feet = 2 .
3 noodles are reprsented in the number line and a vertical Line is drawn from the longest Noodle to compare the shortest noodles as shown in above figure .
\(\frac{7}{8}\) <  \(\frac{7}{4}\) < \(\frac{4}{2}\) .

Eureka Math Grade 3 Module 5 Lesson 18 Exit Ticket Answer Key

Place the two fractions on the number line. Circle the fraction with the distance closest to 0. Then, compare using >, <, or =.
Question 1.

Answer:

Explanation :
Number line is divided into 5 parts as the denominator of the numbers is 5 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
\(\frac{3}{5}\) > \(\frac{1}{5}\)

Question 2.

Answer:

Explanation :
Number line is divided into 4 parts as the denominator of the numbers is 4 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
\(\frac{1}{2}\) < \(\frac{3}{4}\)

Question 3.
Mr. Brady draws a fraction on the board. Ken says it’s \(\frac{2}{3}\), and Dan said it’s \(\frac{3}{2}\). Do both of these fractions mean the same thing? If not, which fraction is larger? Draw a number line to model \(\frac{2}{3}\) and \(\frac{3}{2}\). Use words, pictures, and numbers to explain your comparison.
Answer:

Explanation :
Fraction said by ken = \(\frac{2}{3}\),
Fraction said by Dan = \(\frac{3}{2}\)
Both the fractions are represented with different number lines and from the greater number a vertical line is drawn to show the numbers which are least as shown in above figure .

Eureka Math Grade 3 Module 5 Lesson 18 Homework Answer Key

Place the two fractions on the number line. Circle the fraction with the distance closest to 0. Then, compare using >, <, or =.
Question 1.

Answer:

Explanation :
Number line is divided into 3 parts as the denominator of the numbers is 3 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
\(\frac{1}{3}\) < \(\frac{2}{3}\)

Question 2.

Answer:

Explanation :
Number line is divided into 6 parts as the denominator of the numbers is 6 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
\(\frac{4}{6}\) > \(\frac{1}{6}\)

Question 3.

Answer:

Explanation :
Number line is divided into 8 parts as the denominator of the numbers is 8 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
\(\frac{1}{4}\) > \(\frac{1}{8}\)

Question 4.

Answer:

Explanation :
Number line is divided into 10 parts as the denominator of the numbers is 10 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
\(\frac{4}{5}\) < \(\frac{4}{10}\)

Question 5.

Answer:

Explanation :
Number line is divided into 6 parts as the denominator of the numbers is 6 .
Fractional Numbers are represented on the number line and number is which is closest to 0 is circled is shown in the above figure .
\(\frac{8}{6}\) < \(\frac{5}{3}\)

Question 6.
Liz and Jay each have a piece of string. Liz’s string is \(\frac{4}{6}\) yards long, and Jay’s string is \(\frac{5}{7}\) yards long. Whose string is longer? Draw a number line to model the length of both strings. Explain the comparison using pictures, numbers, and words.
Answer:

Explanation :
Length of Liz’s string = \(\frac{4}{6}\)
Length of Jay’s string = \(\frac{5}{7}\)
From the above figure we notice that \(\frac{5}{7}\) is greater than \(\frac{4}{6}\)

Question 7.
In a long jump competition, Wendy jumped \(\frac{9}{10}\) meters, and Judy jumped \(\frac{10}{9}\) meters. Draw a number line to model the distance of each girl’s long jump. Who jumped the shorter distance? Explain how you know using pictures, numbers, and words.
Answer:

Explanation :
Distance covered by Wendy in long jump = \(\frac{9}{10}\)
Distance covered by Judy in long jump = \(\frac{10}{9}\)
From the above figure we notice that \(\frac{10}{9}\) is greater than \(\frac{9}{10}\)
Wendy jumped shorter distance .

Question 8.
Nikki has 3 pieces of yarn. The first piece is \(\frac{5}{6}\) feet long, the second piece is \(\frac{5}{3}\) feet long, and the third piece is \(\frac{3}{2}\) feet long. She wants to arrange them from the shortest to the longest. Draw a number line to model the length of each piece of yarn. Write a number sentence using <, >, or = to compare the pieces. Explain using pictures, numbers, and words.
Answer:

Explanation :
Length of First piece = \(\frac{5}{6}\)
Length of second piece = \(\frac{5}{3}\)
Length of third piece = \(\frac{3}{2}\)
3 Yarns are represented in  number lines as shown in above figure .
\(\frac{5}{3}\) > \(\frac{3}{2}\) > \(\frac{5}{6}\) .

Engage NY Eureka Math 3rd Grade Module 5 End of Module Assessment Answer Key

Eureka Math Grade 3 Module 5 End of Module Assessment Task Answer Key

Question 1.
Jerry put 7 equally spaced hooks on a straight wire so students could hang up their coats. The whole length is from the first hook to the last hook.
a. On the picture below, label the fraction of the wire’s length where each hook is located.

b. At what fraction is Betsy’s coat if she hangs it at the halfway point?
c. Write a fraction that is equivalent to your answer for Part (b).
Answer a :

Answer b :
At \(\frac{3}{6}\) fraction the Betsy’s coat hangs at half way .
Answer c :
\(\frac{3}{6}\) = \(\frac{4}{8}\)

Question 2.
Jerry used the picture below to show his son how to find a fraction equal to \(\frac{2}{3}\). Explain what Jerry might have said and done using words, pictures, and numbers.

Answer:
Jerry took a rectangle strip which is divided into 3 parts equally . 2 parts are shaded and 1 part is unshaded.
It the fraction of shaded parts to total parts that is \(\frac{2}{3}\) .

Question 3.
Jerry and his son have the exact same granola bars. Jerry has eaten \(\frac{3}{6}\) of his granola bar. His son has eaten \(\frac{3}{8}\) of his own granola bar. Who has eaten more? Explain your answer using words, pictures, and numbers.
Answer:

Explanation :
From the above figure we notice that jerry ate more granola bar than jerry’s son.

Question 4.
Jerry has a fruit roll that is 4 feet long.
a. Label the number line to show how Jerry might cut his fruit roll into pieces \(\frac{1}{3}\) of a foot long. Label every fraction on the number line, including renaming the wholes.

b. Jerry cut his fruit roll into pieces that are \(\frac{1}{3}\) of a foot long. Jerry and his 2 sons each eat one piece. What fraction of the whole fruit roll is eaten? Explain your answer using words, pictures, and numbers.
c. Jerry’s son says that 1 third is the same as 2 sixths. Do you agree? Why or why not? Use words, pictures, and numbers to explain your answer.
Answer a :

Answer b :

Explanation :
Fraction of each peice = \(\frac{1}{3}\)
Jerry and his 2 sons each eat= 3 People = 3 \(\frac{1}{3}\)  = 1 whole is eaten by them .

Answer c :

Explanation :
Yes , \(\frac{1}{3}\)  is equal to \(\frac{2}{6}\) .
Number line is drawn the \(\frac{1}{3}\) and \(\frac{1}{6}\)  are at the same as shown in above figure .

Engage NY Eureka Math 3rd Grade Module 5 Mid Module Assessment Answer Key

Eureka Math Grade 3 Module 5 Mid Module Assessment Task Answer Key

Question 1.
Natalie folded 1 whole fraction strip as pictured above.
a. How many equal parts did she divide the whole into?
b. Label each equal part with a unit fraction.
c. Identify the fraction of the strip she shaded.
d. Identify the fraction of the strip she did not shade.
Answer:
a.  The Total Number of Equal parts are 8 .
b.
c. Fraction of each shaded strip = \(\frac{1}{8}\)
Total Number of shaded strips = 3
So, Total fraction of shaded strip = \(\frac{1}{8}\) + \(\frac{1}{8}\) +\(\frac{1}{8}\) =   \(\frac{3}{8}\)
d . Fraction of each unshaded strip = \(\frac{1}{8}\)
Total Number of shaded strips = 5
So, Total fraction of unshaded strip = \(\frac{1}{8}\) + \(\frac{1}{8}\) +\(\frac{1}{8}\) +\(\frac{1}{8}\) +\(\frac{1}{8}\) =   \(\frac{}{8}[5/latex]

Question 2.
Draw 2 rectangles the same size. Each rectangle represents 1 whole.
a. Partition each rectangle into 3 equal parts. Shade and label a fraction greater than 1.
b. Draw a number bond that shows 1 whole rectangle as 3 unit fractions.
Answer:
a

Explanation :
The Each Rectangle strip is divided into 3 equal parts and 4 parts are shaded as shown in above figure which is greater than 1 whole .

Answer :
b

Question 3.
The bakery had a chocolate cake and a vanilla cake that were exactly the same size. Mr. Chu bought 1 fourth of the chocolate cake. Mrs. Ramirez bought 1 sixth of the vanilla cake. Who bought a larger piece of cake? Explain your answer using words, pictures, and numbers.
Answer:

Explanation :
From the above figure we notice that the piece of chocolate cake is bigger than vanilla cake . That means Mr.chu bought larger piece cake than Ramirez .

Question 4.
Natalie explained, “My drawing shows a picture of [latex]\frac{3}{2}\).” Kosmo says, “It looks like a picture of \(\frac{3}{4}\) to me.”
a. Show and explain how they could both be correct by choosing different wholes. Use words, pictures, and numbers.

b. Natalie said to Kosmo, “One part can represent either 1 half or 1 fourth. That must mean \(\frac{1}{2}\) = \(\frac{1}{4}\).” Do you agree with Natalie? Use words, pictures, and numbers to explain your reasoning.
Answer a :

Explanation :
Both are right because it depends on the consideration of 1 whole .
Answer b :

Explanations :
Natalie is wrong because the wholes are not of identical shape and size .The wholes should be same to compare the fractions .

Engage NY Eureka Math 3rd Grade Module 5 Lesson 17 Answer Key

Eureka Math Grade 3 Module 5 Lesson 17 Sprint Answer Key

A
Division

Question 1.
3 ÷ 3 =
Answer:
3 ÷ 3 = 1

Question 2.
4 ÷ 4 =
Answer:
4 ÷ 4 = 1

Question 3.
5 ÷ 5 =
Answer:
5 ÷ 5 = 1

Question 4.
19 ÷ 19 =
Answer:
19 ÷ 19 = 1

Question 5.
0 ÷ 1 =
Answer:
0 ÷ 1 = 0

Question 6.
0 ÷ 2 =
Answer:
0 ÷ 2 = 0

Question 7.
0 ÷ 3 =
Answer:
0 ÷ 3 = 0

Question 8.
0 ÷ 19 =
Answer:
0 ÷ 19 = 0

Question 9.
6 ÷ 3 =
Answer:
6 ÷ 3 = 2

Question 10.
9 ÷ 3 =
Answer:
9 ÷ 3 = 3

Question 11.
12 ÷ 3 =
Answer:
12 ÷ 3 = 4

Question 12.
15 ÷ 3 =
Answer:
15 ÷ 3 = 5

Question 13.
4 ÷ 2 =
Answer:
4 ÷ 2 = 2

Question 14.
6 ÷ 2 =
Answer:
6 ÷ 2 =3

Question 15.
8 ÷ 2 =
Answer:
8 ÷ 2 = 4

Question 16.
10 ÷ 2 =
Answer:
10 ÷ 2 = 5

Question 17.
18 ÷ 3 =
Answer:
18 ÷ 3 = 6

Question 18.
12 ÷ 2 =
Answer:
12 ÷ 2 = 6

Question 19.
21 ÷ 3 =
Answer:
21 ÷ 3 =7

Question 20.
14 ÷ 2 =
Answer:
14 ÷ 2 =7

Question 21.
20 ÷ 10 =
Answer:
20 ÷ 10 =2

Question 22.
20 ÷ 2 =
Answer:
20 ÷ 2 = 10

Question 23.
24 ÷ 3 =
Answer:
24 ÷ 3 = 8

Question 24.
16 ÷ 2 =
Answer:
16 ÷ 2 = 8

Question 25.
30 ÷ 10 =
Answer:
30 ÷ 10 = 3

Question 26.
30 ÷ 3 =
Answer:
30 ÷ 3 = 10

Question 27.
27 ÷ 3 =
Answer:
27 ÷ 3 = 8

Question 28.
18 ÷ 2 =
Answer:
18 ÷ 2 =9

Question 29.
40 ÷ 10 =
Answer:
40 ÷ 10 = 4

Question 30.
40 ÷ 4 =
Answer:
40 ÷ 4 = 10

Question 31.
20 ÷ 4 =
Answer:
20 ÷ 4 = 5

Question 32.
20 ÷ 5 =
Answer:
20 ÷ 5 = 4

Question 33.
24 ÷ 4 =
Answer:
24 ÷ 4 = 6

Question 34.
30 ÷ 5 =
Answer:
30 ÷ 5 = 6

Question 35.
28 ÷ 4 =
Answer:
28 ÷ 4 = 7

Question 36.
40 ÷ 5 =
Answer:
40 ÷ 5 = 8

Question 37.
32 ÷ 4 =
Answer:
32 ÷ 4 = 8

Question 38.
45 ÷ 5 =
Answer:
45 ÷ 5 = 9

Question 39.
44 ÷ 4 =
Answer:
44 ÷ 4 = 11

Question 40.
36 ÷ 4 =
Answer:
36 ÷ 4 = 9

Question 41.
48 ÷ 6 =
Answer:
48 ÷ 6 = 8

Question 42.
63 ÷ 7 =
Answer:
63 ÷ 7 = 9

Question 43.
64 ÷ 8 =
Answer:
64 ÷ 8 = 8

Question 44.
72 ÷ 9 =
Answer:
72 ÷ 9 = 8

B
Division

Question 1.
2 ÷ 2 =
Answer:
2 ÷ 2 = 1

Question 2.
3 ÷ 3 =
Answer:
3 ÷ 3 = 1

Question 3.
4 ÷ 4 =
Answer:
4 ÷ 4 = 1

Question 4.
17 ÷ 17 =
Answer:
17 ÷ 17 = 1

Question 5.
0 ÷ 2 =
Answer:
0 ÷ 2 = 0

Question 6.
0 ÷ 3 =
Answer:
0 ÷ 3 = 0

Question 7.
0 ÷ 4 =
Answer:
0 ÷ 4 = 0

Question 8.
0 ÷ 17 =
Answer:
0 ÷ 17 = 0

Question 9.
4 ÷ 2 =
Answer:
4 ÷ 2 = 2

Question 10.
6 ÷ 2 =
Answer:
6 ÷ 2 = 3

Question 11.
8 ÷ 2 =
Answer:
8 ÷ 2 = 4

Question 12.
10 ÷ 2 =
Answer:
10 ÷ 2 = 5

Question 13.
6 ÷ 3 =
Answer:
6 ÷ 3 = 2

Question 14.
9 ÷ 3 =
Answer:
9 ÷ 3 = 3

Question 15.
12 ÷ 3 =
Answer:
12 ÷ 3 = 4

Question 16.
15 ÷ 3 =
Answer:
15 ÷ 3 = 5

Question 17.
12 ÷ 2 =
Answer:
12 ÷ 2 = 6

Question 18.
18 ÷ 3 =
Answer:
18 ÷ 3 = 6

Question 19.
14 ÷ 2 =
Answer:
14 ÷ 2 = 7

Question 20.
21 ÷ 3 =
Answer:
21 ÷ 3 = 7

Question 21.
20 ÷ 2 =
Answer:
20 ÷ 2 = 10

Question 22.
20 ÷ 10 =
Answer:
20 ÷ 10 = 2

Question 23.
16 ÷ 2 =
Answer:
16 ÷ 2 =8

Question 24.
24 ÷ 3 =
Answer:
24 ÷ 3 = 8

Question 25.
30 ÷ 3 =
Answer:
30 ÷ 3 = 10

Question 26.
30 ÷ 10 =
Answer:
30 ÷ 10 = 3

Question 27.
18 ÷ 2 =
Answer:
18 ÷ 2 = 9

Question 28.
27 ÷ 3 =
Answer:
27 ÷ 3 = 9

Question 29.
40 ÷ 4 =
Answer:
40 ÷ 4 = 10

Question 30.
40 ÷ 10 =
Answer:
40 ÷ 10 = 4

Question 31.
20 ÷ 5 =
Answer:
20 ÷ 5 = 4

Question 32.
20 ÷ 4 =
Answer:
20 ÷ 4 = 5

Question 33.
30 ÷ 5 =
Answer:
30 ÷ 5 = 6

Question 34.
24 ÷ 4 =
Answer:
24 ÷ 4 = 6

Question 35.
40 ÷ 5 =
Answer:
40 ÷ 5 = 8

Question 36.
28 ÷ 4 =
Answer:
28 ÷ 4 = 7

Question 37.
45 ÷ 5 =
Answer:
45 ÷ 5 = 9

Question 38.
32 ÷ 4 =
Answer:
32 ÷ 4 = 8

Question 39.
55 ÷ 5 =
Answer:
55 ÷ 5 = 11

Question 40.
36 ÷ 4 =
Answer:
36 ÷ 4 = 9

Question 41.
54 ÷ 6 =
Answer:
54 ÷ 6 = 9

Question 42.
56 ÷ 7 =
Answer:
56 ÷ 7 = 8

Question 43.
72 ÷ 8 =
Answer:
72 ÷ 8 = 9

Question 44.
63 ÷ 9 =
Answer:
63 ÷ 9 = 7

Eureka Math Grade 3 Module 5 Lesson 17 Problem Set Answer Key

Question 1.
Locate and label the following fractions on the number line.

Answer:

Explanation :
The Given number is divided into the fraction of \(\frac{1}{6}\) and all the given fractions are located and labeled and shown in above figure .

Question 2.
Locate and label the following fractions on the number line.

Answer:

Explanation :
The Given number is divided into the fraction of \(\frac{1}{4}\) and all the given fractions are located and labeled and shown in above figure .

Question 3.
Locate and label the following fractions on the number line.

Answer:

Explanation :
The Given number is divided into the fraction of \(\frac{1}{3}\) and all the given fractions are located and labeled and shown in above figure .

Question 4.
For a measurement project in math class, students measured the lengths of their pinky fingers. Alex’s measured 2 inches long. Jerimiah’s pinky finger was \(\frac{7}{4}\) inches long. Whose finger is longer? Draw a number line to help prove your answer.
Answer:

Explanation :
Length of Pinky finger of Alex = 2 inches = \(\frac{8}{4}\)
Length of pinky finger of Jerimiah’s = \(\frac{7}{4}\).
Pinky’s finger is greater than Jerimiah’s as it is right of the number .
The number which is on the right of the number is greater and the number which is on the left of the other number is lesser .

Question 5.
Marcy ran 4 kilometers after school. She stopped to tie her shoelace at \(\frac{7}{5}\) kilometers. Then, she stopped to switch songs on her iPod at \(\frac{12}{5}\) kilometers. Draw a number line showing Marcy’s run. Include her starting and finishing points and the 2 places where she stopped.
Answer:

Explanation :
Distance Marcy ran = 4 kilometers. = \(\frac{20}{5}\) kilometers
Distance at which marcy stopped to tie shoelace = \(\frac{7}{5}\)
Distance Marcy stopped to switch her ipod songs = \(\frac{12}{5}\) kilometers .
All the distances points are marked in the above number line figure .

Eureka Math Grade 3 Module 5 Lesson 17 Exit Ticket Answer Key

Question 1.
Locate and label the following fractions on the number line.

Answer:

Explanation :
The Given number is divided into the fraction of \(\frac{1}{3}\) and all the given fractions are located and labeled and shown in above figure .

Question 2.
Katie bought 2 one-gallon bottles of juice for a party. Her guests drank \(\frac{6}{4}\) gallons of juice. What fraction of a gallon of juice is left over? Draw a number line to show, and explain your answer.
Answer:

Explanation :
Amount of juice = 2 one-gallon bottles
Fraction of Juice drank = \(\frac{6}{4}\) = \(\frac{3}{2}\)
Fraction of juice left = 2 – \(\frac{3}{2}\)  = \(\frac{4-3}{2}\) = \(\frac{1}{2}\)
Number line drawn and the quantities are marked .

Eureka Math Grade 3 Module 5 Lesson 17 Homework Answer Key

Question 1.
Locate and label the following fractions on the number line.

Answer:

Explanation :
The Given number is divided into the fraction of \(\frac{1}{2}\) and all the given fractions are located and labeled and shown in above figure .

Question 2.
Locate and label the following fractions on the number line.

Answer:

Explanation :
The Given number is divided into the fraction of \(\frac{1}{3}\) and all the given fractions are located and labeled and shown in above figure .

Question 3.
Locate and label the following fractions on the number line.

Answer:

Explanation :
The Given number is divided into the fraction of \(\frac{1}{4}\) and all the given fractions are located and labeled and shown in above figure .

Question 4.
Wayne went on a 4-kilometer hike. He took a break at \(\frac{4}{3}\) kilometers. He took a drink of water at \(\frac{10}{3}\) kilometers. Show Wayne’s hike on the number line. Include his starting and finishing place and the 2 points where he stopped.

Answer:

Explanation :
Distance Wayne covered = 4 kilometers
Distance at which he took a break = \(\frac{4}{3}\) kilometers.
Distance at which he drank water = \(\frac{10}{3}\)
All the distances points are located on the number line and shown in above figure .

Question 5.
Ali wants to buy a piano. The piano measures \(\frac{19}{4}\) feet long. She has a space 5 feet long for the piano in her house. Does she have enough room? Draw a number line to show, and explain your answer.

Answer:

Explanation :
Length of Piano = \(\frac{19}{4}\) feet
Length of the room = 5 feet.
The number which is on the right of the number is greater and the number which is on the left of the other number is lesser .
The 5 feet is right of \(\frac{19}{4}\) feet so, 5 feet is greater number . so, the room is enough to out the piano .

Engage NY Eureka Math 3rd Grade Module 5 Lesson 16 Answer Key

Eureka Math Grade 3 Module 5 Lesson 16 Sprint Answer Key

A
Multiply and Divide by Nine

Question 1.
2 × 9 =
Answer:
2 × 9 = 18

Question 2.
3 × 9 =
Answer:
3 × 9 = 27

Question 3.
4 × 9 =
Answer:
4 × 9 = 36

Question 4.
5 × 9 =
Answer:
5 × 9 = 45

Question 5.
1 × 9 =
Answer:
1 × 9 = 9

Question 6.
18 ÷ 9 =
Answer:
18 ÷ 9 = 2

Question 7.
27 ÷ 9 =
Answer:
27 ÷ 9 = 3

Question 8.
45 ÷ 9 =
Answer:
45 ÷ 9 = 5

Question 9.
9 ÷ 9 =
Answer:
9 ÷ 9 = 1

Question 10.
36 ÷ 9 =
Answer:
36 ÷ 9 = 4

Question 11.
6 × 9 =
Answer:
6 × 9 = 54

Question 12.
7 × 9 =
Answer:
7 × 9 = 63

Question 13.
8 × 9 =
Answer:
8 × 9 = 72

Question 14.
9 × 9 =
Answer:
9 × 9 = 81

Question 15.
10 × 9 =
Answer:
10 × 9 = 90

Question 16.
72 ÷ 9 =
Answer:
72 ÷ 9 = 8

Question 17.
63 ÷ 9 =
Answer:
63 ÷ 9 = 7

Question 18.
81 ÷ 9 =
Answer:
81 ÷ 9 = 9

Question 19.
54 ÷ 9 =
Answer:
54 ÷ 9 = 6

Question 20.
90 ÷ 9 =
Answer:
90 ÷ 9 = 10

Question 21.
____ × 9 = 45
Answer:
6 × 9 = 45

Question 22.
____ × 9 = 9
Answer:
1 × 9 = 9

Question 23.
____ × 9 = 90
Answer:
10 × 9 = 90

Question 24.
____ × 9 = 18
Answer:
2 × 9 = 18

Question 25.
____ × 9 = 27
Answer:
3 × 9 = 27

Question 26.
90 ÷ 9 =
Answer:
90 ÷ 9 = 10

Question 27.
45 ÷ 9 =
Answer:
45 ÷ 9 = 5

Question 28.
9 ÷ 9 =
Answer:
9 ÷ 9 = 1

Question 29.
18 ÷ 9 =
Answer:
18 ÷ 9 = 2

Question 30.
27 ÷ 9 =
Answer:
27 ÷ 9 = 3

Question 31.
_____ × 9 = 54
Answer:
6 × 9 = 54

Question 32.
_____ × 9 = 63
Answer:
7 × 9 = 63

Question 33.
_____ × 9 = 81
Answer:
9 × 9 = 81

Question 34.
_____ × 9 = 72
Answer:
8 × 9 = 72

Question 35.
63 ÷ 9 =
Answer:
63 ÷ 9 = 7

Question 36.
81 ÷ 9 =
Answer:
81 ÷ 9 = 9

Question 37.
54 ÷ 9 =
Answer:
54 ÷ 9 = 6

Question 38.
72 ÷ 9 =
Answer:
72 ÷ 9 = 8

Question 39.
11 × 9 =
Answer:
11 × 9 = 99

Question 40.
99 ÷ 9 =
Answer:
99 ÷ 9 = 11

Question 41.
12 × 9 =
Answer:
12 × 9 = 108

Question 42.
108 ÷ 9 =
Answer:
108 ÷ 9 = 12

Question 43.
14 × 9 =
Answer:
14 × 9 = 126

Question 44.
126 ÷ 9 =
Answer:
126 ÷ 9 = 14

B
Multiply and Divide by Nine

Question 1.
1 × 9 =
Answer:
1 × 9 = 9

Question 2.
2 × 9 =
Answer:
2 × 9 = 18

Question 3.
3 × 9 =
Answer:
3 × 9 = 27

Question 4.
4 × 9 =
Answer:
4 × 9 = 36

Question 5.
5 × 9 =
Answer:
5 × 9 = 45

Question 6.
27 ÷ 9 =
Answer:
27 ÷ 9 = 3

Question 7.
18 ÷ 9 =
Answer:
18 ÷ 9 = 2

Question 8.
36 ÷ 9 =
Answer:
36 ÷ 9 = 4

Question 9.
9 ÷ 9 =
Answer:
9 ÷ 9 = 1

Question 10.
45 ÷ 9 =
Answer:
45 ÷ 9 = 5

Question 11.
10 × 9 =
Answer:
10 × 9 = 90

Question 12.
6 × 9 =
Answer:
6 × 9 = 54

Question 13.
7 × 9 =
Answer:
7 × 9 = 63

Question 14.
8 × 9 =
Answer:
8 × 9 = 72

Question 15.
9 × 9 =
Answer:
9 × 9 = 81

Question 16.
63 ÷ 9 =
Answer:
63 ÷ 9 = 7

Question 17.
54 ÷ 9 =
Answer:
54 ÷ 9 = 6

Question 18.
72 ÷ 9 =
Answer:
72 ÷ 9 = 8

Question 19.
90 ÷ 9 =
Answer:
90 ÷ 9 = 10

Question 20.
81 ÷ 9 =
Answer:
81 ÷ 9 = 9

Question 21.
_____ × 9 = 9
Answer:
1 × 9 = 9

Question 22.
_____ × 9 = 45
Answer:
5 × 9 = 45

Question 23.
_____ × 9 = 18
Answer:
2 × 9 = 18

Question 24.
_____ × 9 = 90
Answer:
10 × 9 = 90

Question 25.
_____ × 9 = 27
Answer:
3 × 9 = 27

Question 26.
18 ÷ 9 =
Answer:
18 ÷ 9 = 2

Question 27.
9 ÷ 9 =
Answer:
9 ÷ 9 = 1

Question 28.
90 ÷ 9 =
Answer:
90 ÷ 9 = 10

Question 29.
45 ÷ 9 =
Answer:
45 ÷ 9 = 5

Question 30.
27 ÷ 9 =
Answer:
27 ÷ 9 = 3

Question 31.
____ × 9 = 27
Answer:
3 × 9 = 27

Question 32.
____ × 9 = 36
Answer:
4 × 9 = 36

Question 33.
____ × 9 = 81
Answer:
9 × 9 = 81

Question 34.
____ × 9 = 63
Answer:
7 × 9 = 63

Question 35.
72 ÷ 9 =
Answer:
72 ÷ 9 = 8

Question 36.
81 ÷ 9 =
Answer:
81 ÷ 9 = 9

Question 37.
54 ÷ 9 =
Answer:
54 ÷ 9 = 6

Question 38.
63 ÷ 9 =
Answer:
63 ÷ 9 = 7

Question 39.
11 × 9 =
Answer:
11 × 9 = 99

Question 40.
99 ÷ 9 =
Answer:
99 ÷ 9 = 11

Question 41.
12 × 9 =
Answer:
12 × 9 = 108

Question 42.
108 ÷ 9 =
Answer:
108 ÷ 9 = 12

Question 43.
13 × 9 =
Answer:
13 × 9 = 117

Question 44.
117 ÷ 9 =
Answer:
117 ÷ 9 = 13

Eureka Math Grade 3 Module 5 Lesson 16 Problem Set Answer Key

Question 1.
Estimate to equally partition and label the fractions on the number line. Label the wholes as fractions, and box them. The first one is done for you.

Answer:

Question 2.
Partition each whole into fifths. Label each fraction. Count up as you go. Box the fractions that are located at the same points as whole numbers.

Answer:

Question 3.
Partition each whole into thirds. Label each fraction. Count up as you go. Box the fractions that are located at the same points as whole numbers.

Answer:

Question 4.
Draw a number line with endpoints 0 and 3. Label the wholes. Partition each whole into fourths. Label all the fractions from 0 to 3. Box the fractions that are located at the same points as whole numbers. Use a separate paper if you need more space.
Answer:

Eureka Math Grade 3 Module 5 Lesson 16 Exit Ticket Answer Key

Question 1.
Estimate to equally partition and label the fractions on the number line. Label the wholes as fractions, and box them.

Answer:

Question 2.
Draw a number line with endpoints 0 and 2. Label the wholes. Estimate to partition each whole into sixths, and label them. Box the fractions that are located at the same points as whole numbers.
Answer:

Eureka Math Grade 3 Module 5 Lesson 16 Homework Answer Key

Question 1.
Estimate to equally partition and label the fractions on the number line. Label the wholes as fractions, and box them. The first one is done for you.

Answer:

Question 2.
Partition each whole into sixths. Label each fraction. Count up as you go. Box the fractions that are located at the same points as whole numbers.

Answer:

Question 3.
Partition each whole into halves. Label each fraction. Count up as you go. Box the fractions that are located at the same points as whole numbers.

Answer:

Question 4.
Draw a number line with endpoints 0 and 3. Label the wholes. Partition each whole into fifths. Label all the fractions from 0 to 3. Box the fractions that are located at the same points as whole numbers. Use a separate paper if you need more space.
Answer:

Engage NY Eureka Math 3rd Grade Module 5 Lesson 15 Answer Key

Eureka Math Grade 3 Module 5 Lesson 15 Problem Set Answer Key

Question 1.
Estimate to label the given fractions on the number line. Be sure to label the fractions at 0 and 1. Write the fractions above the number line. Draw a number bond to match your number line.

Answer:

Explanation :
Number line is Divided and represented with given fraction and even the number bond is drawn for every fraction as shown in above figure .

Question 2.
Draw a number line. Use a fraction strip to locate 0 and 1. Fold the strip to make 8 equal parts. Use the strip to measure and label your number line with eighths.
Count up from 0 eighths to 8 eighths on your number line. Touch each number with your finger as you count.
Answer:

Explanation :
Number line is represented with count from 0 eights to 8 eighths . Each Fraction strip is also represented above the number line . Each part is \(\frac{1}{8}\) fraction .

Question 3.
For his boat, James stretched out a rope with 5 equally spaced knots as shown.

a. Starting at the first knot and ending at the last knot, how many equal parts are formed by the 5 knots? Label each fraction at the knot.
Answer a :

Explanation :
With the 5 knots the given rope is divided into 4 equal parts. each part is \(\frac{1}{4}\) .
Fraction at each knot is represented as shown in above figure .

b. What fraction of the rope is labeled at the third knot?
Answer b :
The fraction at 3rd knot is \(\frac{2}{4}\) is shown in above figure .

c. What if the rope had 6 equally spaced knots along the same length? What fraction of the rope would be measured by the first 2 knots?
Answer:
The fraction at the first 2 knots is \(\frac{1}{6}\) and \(\frac{2}{6}\).
Explanation :
if the rope had 6 equally spaced knots along the same length then each part is divided with the fraction of
\(\frac{1}{6}\)  .

Eureka Math Grade 3 Module 5 Lesson 15 Exit Ticket Answer Key

Question 1.
Estimate to label the given fraction on the number line. Be sure to label the fractions at 0 and 1. Write the fractions above the number line. Draw a number bond to match your number line.

Answer:

Explanation :
The given number is marked with the given fractions.
Each part is latex]\frac{1}{5}[/latex] as the given marked fraction is latex]\frac{3}{5}[/latex] .
Number bond is

Question 2.
Partition the number line. Then, place each fraction on the number line: \(\frac{3}{6}\), \(\frac{1}{6}\), and \(\frac{5}{6}\).

Answer:

Explanation :
Number line is represented and the given line is divided into 6 equal parts . Each part is latex]\frac{1}{6}[/latex] .
Then the given fractions are marked on the number line .

Eureka Math Grade 3 Module 5 Lesson 15 Homework Answer Key

Question 1.
Estimate to label the given fractions on the number line. Be sure to label the fractions at 0 and 1. Write the fractions above the number line. Draw a number bond to match your number line. The first one is done for you.

Answer:

Explanation :
Number line is Divided and represented with given fraction and even the number bond is drawn for every fraction as shown in above figure .

Question 2.
Henry has 5 dimes. Ben has 9 dimes. Tina has 2 dimes.
a. Write the value of each person’s money as a fraction of a dollar:
Henry:
Ben:
Tina:
Answer :
Henry: latex]\frac{50}{100}[/latex]
Ben: latex]\frac{90}{100}[/latex]
Tina: latex]\frac{20}{100}[/latex]

b. Estimate to place each fraction on the number line.

Answer:

Question 3.
Draw a number line. Use a fraction strip to locate 0 and 1. Fold the strip to make 8 equal parts.
a. Use the strip to measure and label your number line with eighths.
b. Count up from 0 eighths to 8 eighths on your number line. Touch each number with your finger as you count.
Answer a :

Answer b :

Engage NY Eureka Math 3rd Grade Module 5 Lesson 14 Answer Key

Eureka Math Grade 3 Module 5 Lesson 14 Problem Set Answer Key

Question 1.
Draw a number bond for each fractional unit. Partition the fraction strip to show the unit fractions of the number bond. Use the fraction strip to help you label the fractions on the number line. Be sure to label the fractions at 0 and 1.
a. Halves

Answer :

Explanation :
The Number bond is drawn and the Fractional strip is divided into  2 halves . The number line is represented according to the fraction given from 0 to 1 as shown in above figure .

b. Thirds

Answer :

Explanation :
The Number bond is drawn and the Fractional strip is divided into 3 parts of \(\frac{1}{3}\)    . The number line is represented according to the fraction given from 0 to 1 as shown in above figure .

c. Fourths

Answer :

Explanation :
The Number bond is drawn and the Fractional strip is divided into 4 parts of \(\frac{1}{4}\)    . The number line is represented according to the fraction given from 0 to 1 as shown in above figure .

d. Fifths

Answer:

Explanation :
The Number bond is drawn and the Fractional strip is divided into 5 parts of \(\frac{1}{5}\) . The number line is represented according to the fraction given from 0 to 1 as shown in above figure .

Question 2.
Trevor needs to let his puppy outside every quarter (1 fourth) hour to potty train him. Draw and label a number line from 0 hours to 1 hour to show every 1 fourth hour. Include 0 fourths and 4 fourths hour. Label 0 hours and 1 hour, too.
Answer:

Explanation :
The Number Line is represented for every quarter (1 fourth) hour.
Number line is divided into 4 parts each part is of fraction \(\frac{1}{4}\) hour . and hours are labeled from 0 to 1 hours as shown in above figure .

Question 3.
A ribbon is 1 meter long. Mrs. Lee wants to sew a bead every \(\frac{1}{5}\) meter. The first bead is at \(\frac{1}{5}\) meter. The last bead is at 1 meter. Draw and label a number line from 0 meters to 1 meter to show where Mrs. Lee will sew beads. Label all the fractions, including 0 fifths and 5 fifths. Label 0 meters and 1 meter, too.
Answer:

Explanation :
The first bead is at \(\frac{1}{5}\) meter. The last bead is at 1 meter. that means For every \(\frac{1}{5}\) meter bead is sewed . so the meter is divided into 5 parts and beads are labled from 0 to 5th bead as shown in above figure .

Eureka Math Grade 3 Module 5 Lesson 14 Exit Ticket Answer Key

Question 1.
Draw a number bond for the fractional unit. Partition the fraction strip, and draw and label the fractions on the number line. Be sure to label the fractions at 0 and 1.

Answer:

Explanation :
The Number bond is drawn and the Fractional strip is divided into 6 parts of \(\frac{1}{6}\)    . The number line is represented according to the fraction given from 0 to 1 as shown in above figure .

Question 2.
Ms. Metcalf wants to share $1 equally among 5 students. Draw a number bond and a number line to help explain your answer.
a. What fraction of a dollar will each student get?
b. How much money will each student get?
Answer:

Answer a :
The fraction of dollar each student get = \(\frac{1}{5}\).
Answer b :
Money each student get = $0.20 .
Explanation :
Amount = $1
The fraction of dollar each student get = \(\frac{1}{5}\).
Money each student get = 1$ ÷5 = 0.20 $

Eureka Math Grade 3 Module 5 Lesson 14 Homework Answer Key

Question 1.
Draw a number bond for each fractional unit. Partition the fraction strip to show the unit fractions of the number bond. Use the fraction strip to help you label the fractions on the number line. Be sure to label the fractions at 0 and 1.
a. Halves

Answer :

Explanation :
The Number bond is drawn and the Fractional strip is divided into 2 parts of \(\frac{1}{2}\)    . The number line is represented according to the fraction given from 0 to 1 as shown in above figure .
b. Eighths

Answer :

Explanation :
The Number bond is drawn and the Fractional strip is divided into 8 parts of \(\frac{1}{8}\)    . The number line is represented according to the fraction given from 0 to 1 as shown in above figure .

c. Fifths

Answer:

Explanation :
The Number bond is drawn and the Fractional strip is divided into 5 parts of \(\frac{1}{5}\)    . The number line is represented according to the fraction given from 0 to 1 as shown in above figure .

Question 2.
Carter needs to wrap 7 presents. He lays the ribbon out flat and says, “If I make 6 equally spaced cuts, I’ll have just enough pieces. I can use 1 piece for each package, and I won’t have any pieces left over.” Does he have enough pieces to wrap all the presents?
Answer:

Explanation :
6 cuts means 7 parts of ribbon . so, Carter will have enough wraps  for all the prsents.

Question 3.
Mrs. Rivera is planting flowers in her 1-meter long rectangular plant box. She divides the plant box into sections \(\frac{1}{9}\) meter in length, and plants 1 seed in each section. Draw and label a fraction strip representing the plant box from 0 meters to 1 meter. Represent each section where Mrs. Rivera will plant a seed. Label all the fractions.
a. How many seeds will she be able to plant in 1 plant box?
b. How many seeds will she be able to plant in 4 plant boxes?
c. Draw a number line below your fraction strip and mark all the fractions.
Answer :

Answer a :
Rivera will plant 9 seeds in 1 plant box.
Answer b :
Number of seeds in 1 plant box = 9
Number of seeds in 4 plant boxes = 4 × 9 = 36 .
Answer c :

Explanation :
The number line is represented according to the fraction given from 0 to 1 as shown in above figure .

Engage NY Eureka Math 3rd Grade Module 5 Lesson 13 Answer Key

Eureka Math Grade 3 Module 5 Lesson 13 Problem Set Answer Key

Answer:

Question 6.
Use the diagram below to complete the following statements.

a. Rope ____________ is \(\frac{1}{2}\) the length of Rope B.
b. Rope ____________ is \(\frac{1}{2}\) the length of Rope A.
c. Rope C is \(\frac{1}{4}\) the length of Rope ____________.
d. If Rope B measures 1 m long, then Rope A is ____________ m long, and Rope C is ____________ m long.
e. If Rope A measures 1 m long, Rope B is ____________ m long, and Rope C is ____________ m long.
Answer:
a. Rope C is \(\frac{1}{2}\) the length of Rope B.
b. Rope B is \(\frac{1}{2}\) the length of Rope A.
c. Rope C is \(\frac{1}{4}\) the length of Rope A.
d. If Rope B measures 1 m long, then Rope A is 2 m long, and Rope C is \(\frac{1}{2}\) long.
e. If Rope A measures 1 m long, Rope B is\(\frac{1}{2}\)  long, and Rope C is \(\frac{1}{4}\)m long.

Question 7.
Ms. Fan drew the figure below on the board. She asked the class to name the shaded fraction. Charlie answered \(\frac{3}{4}\). Janice answered \(\frac{3}{2}\). Jenna thinks they’re both right. With whom do you agree? Explain your thinking.

Answer:

Explanation :
From figure one if the Big rectangle is considered as 1 whole then \(\frac{3}{4}\) is right .
From figure Two if the Small rectangle is considered as 1 whole then \(\frac{3}{2}\) is right .
It is based on the consideration of Rectangles as 1 whole .

Eureka Math Grade 3 Module 5 Lesson 13 Exit Ticket Answer Key

Ms. Silverstein asked the class to draw a model showing \(\frac{2}{3}\) shaded. Karol and Deb drew the models below. Whose model is correct? Explain how you know.

Answer :
Both the Models are correct
Explanation :
Karol’s Diagram is a rectangle box where \(\frac{2}{3}\) is shaded and in Deb;s diagram 3 rhombus are drawn and 2 are shaded even that represent \(\frac{2}{3}\) ..
So, both diagrams represent \(\frac{2}{3}\) fractions.

Eureka Math Grade 3 Module 5 Lesson 13 Homework Answer Key

Answer:

Question 5.
Use the pictures below to complete the following statements.

a. Towel Rack ____________ is about \(\frac{1}{2}\) the length of Towel Rack C.
b. Towel Rack ____________ is about \(\frac{1}{3}\) the length of Towel Rack C.
c. If Towel Rack C measures 6 ft long, then Towel Rack B is about ____________ ft long, and Towel Rack A is about ____________ ft long.
d. About how many copies of Towel Rack A equal the length of Towel Rack C? Draw number bonds to help you.
e. About how many copies of Towel Rack B equal the length of Towel Rack C? Draw number bonds to help you.
Answer:
a. Towel Rack B is about \(\frac{1}{2}\) the length of Towel Rack C.
b. Towel Rack A is about \(\frac{1}{3}\) the length of Towel Rack C.
c. If Towel Rack C measures 6 ft long, then Towel Rack B is about 3 ft long, and Towel Rack A is about 2 ft long.
Explanation :
Towel Rack B is about \(\frac{1}{2}\) the length of Towel Rack C.
Towel Rack C = 6 ft
Towel Rack B = 6 / 2 = 3 ft.
Towel Rack A is about \(\frac{1}{3}\) the length of Towel Rack C.
Towel A = 6/3 = 2 ft .

d. 3 copies of Towel Rack A equal the length of Towel Rack C

e. 2 copies of Towel Rack B equal the length of Towel Rack C

Question 6.
Draw 3 strings—B, C, and D—by following the directions below. String A is already drawn for you.
String B is \(\frac{1}{3}\) of String A.
String C is \(\frac{1}{2}\) of String B.
String D is \(\frac{1}{3}\) of String C.
Extension: String E is 5 times the length of String D.

Answer:

Explanation :
String B is \(\frac{1}{3}\) of String A.
String C is \(\frac{1}{2}\) of String B.
String C is \(\frac{1}{2}\) × \(\frac{1}{3}\)  of String A
= String C is \(\frac{1}{6}\)  of String A
String D is \(\frac{1}{3}\) of String C.
String D is \(\frac{1}{3}\) × \(\frac{1}{6}\)  of String A
= String D is \(\frac{1}{18}\) of string A
Extension: String E is 5 times the length of String D.
String D is \(\frac{1}{18}\) of string A So,
String E is 5 \(\frac{1}{18}\) of string A
= String E is  \(\frac{5}{18}\) of string A

Engage NY Eureka Math 3rd Grade Module 5 Lesson 12 Answer Key

Eureka Math Grade 3 Module 5 Lesson 12 Sprint Answer Key

A
Multiply with Nine

Question 1.
9 × 1 =
Answer:
9 × 1 = 9

Question 2.
1 × 9 =
Answer:
1 × 9 = 9

Question 3.
9 × 2 =
Answer:
9 × 2 = 18

Question 4.
2 × 9 =
Answer:
2 × 9 = 18

Question 5.
9 × 3 =
Answer:
9 × 3 = 27

Question 6.
3 × 9 =
Answer:
3 × 9 = 27

Question 7.
9 × 4 =
Answer:
9 × 4 = 36

Question 8.
4 × 9 =
Answer:
4 × 9 = 36

Question 9.
9 × 5 =
Answer:
9 × 5 = 40

Question 10.
5 × 9 =
Answer:
5 × 9 = 40

Question 11.
9 × 6 =
Answer:
9 × 6 = 54

Question 12.
6 × 9 =
Answer:
6 × 9 = 54

Question 13.
9 × 7 =
Answer:
9 × 7 = 63

Question 14.
7 × 9 =
Answer:
7 × 9 = 63

Question 15.
9 × 8 =
Answer:
9 × 8 = 72

Question 16.
8 × 9 =
Answer:
8 × 9 = 72

Question 17.
9 × 9 =
Answer:
9 × 9 = 81

Question 18.
9 × 10 =
Answer:
9 × 10 = 90

Question 19.
10 × 9 =
Answer:
10 × 9 = 90

Question 20.
1 × 9 =
Answer:
1 × 9 = 9

Question 21.
10 × 9 =
Answer:
10 × 9 = 90

Question 22.
2 × 9 =
Answer:
2 × 9 = 18

Question 23.
9 × 9 =
Answer:
9 × 9 = 81

Question 24.
3 × 9 =
Answer:
3 × 9 = 27

Question 25.
8 × 9 =
Answer:
8 × 9 = 72

Question 26.
4 × 9 =
Answer:
4 × 9 = 36

Question 27.
7 × 9 =
Answer:
7 × 9 = 63

Question 28.
5 × 9 =
Answer:
5 × 9 = 45

Question 29.
6 × 9 =
Answer:
6 × 9 = 54

Question 30.
9 × 5 =
Answer:
9 × 5 = 45

Question 31.
9 × 10 =
Answer:
9 × 10 = 90

Question 32.
9 × 1 =
Answer:
9 × 1 = 9

Question 33.
9 × 6 =
Answer:
9 × 6 = 54

Question 34.
9 × 4 =
Answer:
9 × 4 = 36

Question 35.
9 × 9 =
Answer:
9 × 9 = 81

Question 36.
9 × 2 =
Answer:
9 × 2 = 18

Question 37.
9 × 7 =
Answer:
9 × 7 = 63

Question 38.
9 × 3 =
Answer:
9 × 3 = 27

Question 39.
9 × 8 =
Answer:
9 × 8 = 72

Question 40.
11 × 9 =
Answer:
11 × 9 = 99

Question 41.
9 × 11 =
Answer:
9 × 11 = 99

Question 42.
12 × 9 =
Answer:
12 × 9 = 108

Question 43.
9 × 12 =
Answer:
9 × 12 = 108

Question 44.
13 × 9 =
Answer:
13 × 9 = 117

B
Multiply with Nine

Question 1.
1 × 9 =
Answer:
1 × 9 = 9

Question 2.
9 × 1 =
Answer:
9 × 1 = 9

Question 3.
2 × 9 =
Answer:
2 × 9 = 18

Question 4.
9 × 2 =
Answer:
9 × 2 = 18

Question 5.
3 × 9 =
Answer:
3 × 9 = 27

Question 6.
9 × 3 =
Answer:
9 × 3 = 27

Question 7.
4 × 9 =
Answer:
4 × 9 = 36

Question 8.
9 × 4 =
Answer:
9 × 4 = 36

Question 9.
5 × 9 =
Answer:
5 × 9 = 45

Question 10.
9 × 5 =
Answer:
9 × 5 = 45

Question 11.
6 × 9 =
Answer:
6 × 9 = 54

Question 12.
9 × 6 =
Answer:
9 × 6 = 54

Question 13.
7 × 9 =
Answer:
7 × 9 = 63

Question 14.
9 × 7 =
Answer:
9 × 7 = 63

Question 15.
8 × 9 =
Answer:
8 × 9 = 72

Question 16.
9 × 8 =
Answer:
9 × 8 = 72

Question 17.
9 × 9 =
Answer:
9 × 9 = 81

Question 18.
10 × 9 =
Answer:
10 × 9 = 90

Question 19.
9 × 10 =
Answer:
9 × 10 = 90

Question 20.
9 × 3 =
Answer:
9 × 3 = 27

Question 21.
1 × 9 =
Answer:
1 × 9 = 9

Question 22.
2 × 9 =
Answer:
2 × 9 = 18

Question 23.
10 × 9 =
Answer:
10 × 9 = 90

Question 24.
9 × 9 =
Answer:
9 × 9 = 81

Question 25.
4 × 9 =
Answer:
4 × 9 = 36

Question 26.
8 × 9 =
Answer:
8 × 9 = 72

Question 27.
3 × 9 =
Answer:
3 × 9 = 27

Question 28.
7 × 9 =
Answer:
7 × 9 = 63

Question 29.
6 × 9 =
Answer:
6 × 9 = 54

Question 30.
9 × 10 =
Answer:
9 × 10 = 90

Question 31.
9 × 5 =
Answer:
9 × 5 = 45

Question 32.
9 × 6 =
Answer:
9 × 6 = 54

Question 33.
9 × 1 =
Answer:
9 × 1 = 9

Question 34.
9 × 9 =
Answer:
9 × 9 = 81

Question 35.
9 × 4 =
Answer:
9 × 4 = 36

Question 36.
9 × 3 =
Answer:
9 × 3 = 27

Question 37.
9 × 2 =
Answer:
9 × 2 = 18

Question 38.
9 × 7 =
Answer:
9 × 7 = 63

Question 39.
9 × 8 =
Answer:
9 × 8 = 72

Question 40.
11 × 9 =
Answer:
11 × 9 = 99

Question 41.
9 × 11 =
Answer:
9 × 11 = 99

Question 42.
12 × 9 =
Answer:
12 × 9 = 108

Question 43.
9 × 12 =
Answer:
9 × 12 = 108

Question 44.
13 × 9 =
Answer:
13 × 9 = 117

Eureka Math Grade 3 Module 5 Lesson 12 Problem Set Answer Key

For each of the following:

• Draw a picture of the designated unit fraction copied to make at least two different wholes.
• Label the unit fractions.
• Label the whole as 1.
• Draw at least one number bond that matches a drawing.
  

Question 1.
Yellow strip
Answer:

Explanation :
The Figure is represented with 2 different unit fractions, where whole and fractions values are written.
One number bond that matches a drawing is also represented as shown in above figure .

Question 2.
Brown strip
Answer:

Explanation :
The Figure is represented with 2 different unit fractions, where whole and fractions values are written.
One number bond that matches a drawing is also represented as shown in above figure .

Question 3.
Orange square
Answer:

Explanation :
The Figure is represented with 2 different unit fractions, where whole and fractions values are written.
One number bond that matches a drawing is also represented as shown in above figure .

Question 4.
Yarn
Answer:

Explanation :
The Figure is represented with 2 different unit fractions, where whole and fractions values are written.
One number bond that matches a drawing is also represented as shown in above figure .

Question 5.
Water
Answer:

Explanation :
The Figure is represented with 2 different unit fractions, where whole and fractions values are written.
One number bond that matches a drawing is also represented as shown in above figure .

Question 6.
Clay
Answer:

Explanation :
The Figure is represented with 2 different unit fractions, where whole and fractions values are written.
One number bond that matches a drawing is also represented as shown in above figure .

Eureka Math Grade 3 Module 5 Lesson 12 Exit Ticket Answer Key

Each shape represents the unit fraction. Draw a picture representing a possible whole.
Question 1.

Answer:

Explanation :
With the given shape the fraction of \(\frac{1}{7}\) is represented and made as 1 whole figure as shown in the above figure .
To represent the fraction \(\frac{1}{7}\) as 1 whole the given figure is drawn for 7 times .

Question 2.

Answer:

Explanation :
With the given shape the fraction of \(\frac{1}{9}\) is represented and made as 1 whole figure as shown in the above figure .
To represent the fraction \(\frac{1}{9}\) as 1 whole the given figure is drawn for 9 times .

Question 3.
Aileen and Jack used the same triangle representing the unit fraction \(\frac{1}{4}\) to create 1 whole. Who did it correctly? Explain your answer.

Answer:
Both done correctly .
Explanation :
To represent the fraction \(\frac{1}{4}\) as 1 whole the given figure is should be drawn for 4 times .
It can be in any way but the number of triangles should be 4 of same size and shape .
Both represented the 4 triangles in different way both are correct .

Eureka Math Grade 3 Module 5 Lesson 12 Homework Answer Key

Each shape represents the given unit fraction. Estimate to draw a possible whole.
Question 1.
\(\frac{1}{2}\)

Answer:

Explanation :
To make the given fraction into whole number by multiplying the fraction by the same number in the denominator. In the same way draw the same number of times the given figure to make it whole figure as shown in above figure .

Question 2.
\(\frac{1}{6}\)

Answer:

Explanation :
To make the given fraction into whole number by multiplying the fraction by the same number in the denominator. In the same way draw the same number of times the given figure to make it whole figure as shown in above figure .

Question 3.
1 third

Answer:

Explanation :
To make the given fraction into whole number by multiplying the fraction by the same number in the denominator. In the same way draw the same number of times the given figure to make it whole figure as shown in above figure .

Question 4.
1 fourth

Answer:

Explanation :
To make the given fraction into whole number by multiplying the fraction by the same number in the denominator. In the same way draw the same number of times the given figure to make it whole figure as shown in above figure .

Each shape represents the given unit fraction. Estimate to draw a possible whole, label the unit fractions, and draw a number bond that matches the drawing. The first one is done for you.
Question 5.
\(\frac{1}{3}\)

Answer:

Question 6.
\(\frac{1}{2}\)

Answer:

Question 7.
\(\frac{1}{5}\)

Answer:

Question 8.
\(\frac{1}{7}\)

Answer:

Question 9.
Evan and Yong used this shape , representing the unit fraction \(\frac{1}{3}\), to draw 1 whole. Shania thinks both of them did it correctly. Do you agree with her? Explain your answer.

Answer:
No
Explanation :
Evan’s Shape is correct because the identical given figure doesn’t over lap and represent 1 whole.
Where as  the Yong’s Shape is incorrect because Overlapping take place and doesn’t represent 1 whole

Engage NY Eureka Math 3rd Grade Module 5 Lesson 11 Answer Key

Eureka Math Grade 3 Module 5 Lesson 11 Problem Set Answer Key

Label the unit fraction. In each blank, draw and label the same whole with a shaded unit fraction that makes the sentence true. There is more than 1 correct way to make the sentence true.


Answer:

Question 8.
Fill in the blank with a fraction to make the statement true, and draw a matching model.

Answer:

Question 9.
Robert ate \(\frac{1}{2}\) of a small pizza. Elizabeth ate \(\frac{1}{4}\) of a large pizza. Elizabeth says, “My piece was larger than yours, so that means \(\frac{1}{4}\) > \(\frac{1}{2}\).” Is Elizabeth correct? Explain your answer.

Answer:
No,
Explanation :
We cannot compare the fractional units of two different sizes . To compare the fractional units the shape and size should be same .

Question 10.
Manny and Daniel each ate \(\frac{1}{2}\) of his candy, as shown below. Manny said he ate more candy than Daniel because his half is longer. Is he right? Explain your answer.

Answer:
No,
Explanation :
The Manny’s Candy Bar and the Daniel’s Candy bar of of different shape and size so, we cannot compare the fractional units of different shape and sizes.

Eureka Math Grade 3 Module 5 Lesson 11 Exit Ticket Answer Key

Question 1.
Fill in the blank with a fraction to make the statement true. Draw a matching model.

Answer:

Question 2.
Tatiana ate \(\frac{1}{2}\) of a small carrot. Louis ate \(\frac{1}{4}\) of a large carrot. Who ate more? Use words and pictures to explain your answer.
Answer:
No,
Explanation :
The Tatiana Carrot and the Louis Carrot are of different shape and size so, we cannot compare the fractional units of different shape and sizes.

Eureka Math Grade 3 Module 5 Lesson 11 Homework Answer Key

Label the unit fraction. In each blank, draw and label the same whole with a shaded unit fraction that makes the sentence true. There is more than 1 correct way to make the sentence true.


Answer:

Question 8.
Fill in the blank with a fraction to make the statement true. Draw a matching model.

Answer:

Question 9.
Debbie ate \(\frac{1}{8}\) of a large brownie. Julian ate \(\frac{1}{2}\) of a small brownie. Julian says, “I ate more than you because \(\frac{1}{2}\) > \(\frac{1}{8}\).”
a. Use pictures and words to explain Julian’s mistake.
b. How could you change the problem so that Julian is correct? Use pictures and words to explain.
Answer a :

Explanation :
If Debbie Brownie is large brownie then her \(\frac{1}{8}\) brownie will be larger than the julian \(\frac{1}{2}\) small brownie .
Answer b:

Explanation :
If both the brownies are of same size and shape that means Identical brownies , then Julian statement would be correct .

Engage NY Eureka Math 3rd Grade Module 5 Lesson 10 Answer Key

Eureka Math Grade 3 Module 5 Lesson 10 Sprint Answer Key

A
Multiply and Divide by Eight

Question 1.
2 × 8 =
Answer:
2 × 8 = 16

Question 2.
3 × 8 =
Answer:
3 × 8 = 24

Question 3.
4 × 8 =
Answer:
4 × 8 = 32

Question 4.
5 × 8 =
Answer:
5 × 8 = 40

Question 5.
1 × 8 =
Answer:
1 × 8 = 8

Question 6.
16 ÷ 8 =
Answer:
16 ÷ 8 = 2

Question 7.
24 ÷ 8 =
Answer:
24 ÷ 8 = 3

Question 8.
40 ÷ 8 =
Answer:
40 ÷ 8 = 5

Question 9.
8 ÷ 8 =
Answer:
8 ÷ 8 = 1

Question 10.
32 ÷ 8 =
Answer:
32 ÷ 8 = 4

Question 11.
6 × 8 =
Answer:
6 × 8 = 48

Question 12.
7 × 8 =
Answer:
7 × 8 = 56

Question 13.
8 × 8 =
Answer:
8 × 8 = 64

Question 14.
9 × 8 =
Answer:
9 × 8 = 72

Question 15.
10 × 8 =
Answer:
10 × 8 = 80

Question 16.
64 ÷ 8 =
Answer:
64 ÷ 8 = 8

Question 17.
56 ÷ 8 =
Answer:
56 ÷ 8 = 7

Question 18.
72 ÷ 8 =
Answer:
72 ÷ 8 = 9

Question 19.
48 ÷ 8 =
Answer:
48 ÷ 8 = 6

Question 20.
80 ÷ 8 =
Answer:
80 ÷ 8 = 10

Question 21.
_____ × 8 = 40
Answer:
5 × 8 = 40

Question 22.
_____ × 8 = 8
Answer:
1 × 8 = 8

Question 23.
_____ × 8 = 80
Answer:
10 × 8 = 80

Question 24.
_____ × 8 = 16
Answer:
2 × 8 = 16

Question 25.
_____ × 8 = 24
Answer:
3 × 8 = 24

Question 26.
80 ÷ 8 =
Answer:
80 ÷ 8 = 10

Question 27.
40 ÷ 8 =
Answer:
40 ÷ 8 = 5

Question 28.
8 ÷ 8 =
Answer:
8 ÷ 8 = 1

Question 29.
16 ÷ 8 =
Answer:
16 ÷ 8 = 2

Question 30.
24 ÷ 8 =
Answer:
24 ÷ 8 = 3

Question 31.
____ × 8 = 48
Answer:
6 × 8 = 48

Question 32.
____ × 8 = 56
Answer:
7 × 8 = 56

Question 33.
____ × 8 = 72
Answer:
9 × 8 = 72

Question 34.
____ × 8 = 64
Answer:
8 × 8 = 64

Question 35.
56 ÷ 8 =
Answer:
56 ÷ 8 = 7

Question 36.
72 ÷ 8 =
Answer:
72 ÷ 8 = 9

Question 37.
48 ÷ 8 =
Answer:
48 ÷ 8 = 6

Question 38.
64 ÷ 8 =
Answer:
64 ÷ 8 = 8

Question 39.
11 × 8 =
Answer:
11 × 8 = 88

Question 40.
88 ÷ 8 =
Answer:
88 ÷ 8 = 11

Question 41.
12 × 8 =
Answer:
12 × 8 = 96

Question 42.
96 ÷ 8 =
Answer:
96 ÷ 8 = 12

Question 43.
14 × 8 =
Answer:
14 × 8 = 112

Question 44.
112 ÷ 8 =
Answer:
112 ÷ 8 = 14

B
Multiply and Divide by Eight

Question 1.
1 × 8 =
Answer:
1 × 8 = 8

Question 2.
2 × 8 =
Answer:
2 × 8 = 16

Question 3.
3 × 8 =
Answer:
3 × 8 = 24

Question 4.
4 × 8 =
Answer:
4 × 8 = 32

Question 5.
5 × 8 =
Answer:
5 × 8 = 40

Question 6.
24 ÷ 8 =
Answer:
24 ÷ 8 = 3

Question 7.
16 ÷ 8 =
Answer:
16 ÷ 8 = 2

Question 8.
32 ÷ 8 =
Answer:
32 ÷ 8 = 4

Question 9.
8 ÷ 8 =
Answer:
8 ÷ 8 = 1

Question 10.
40 ÷ 8 =
Answer:
40 ÷ 8 = 5

Question 11.
10 × 8 =
Answer:
10 × 8 = 80

Question 12.
6 × 8 =
Answer:
6 × 8 = 48

Question 13.
7 × 8 =
Answer:
7 × 8 = 56

Question 14.
8 × 8 =
Answer:
8 × 8 = 64

Question 15.
9 × 8 =
Answer:
9 × 8 = 72

Question 16.
56 ÷ 8 =
Answer:
56 ÷ 8 = 7

Question 17.
48 ÷ 8 =
Answer:
48 ÷ 8 = 6

Question 18.
64 ÷ 8 =
Answer:
64 ÷ 8 = 8

Question 19.
80 ÷ 8 =
Answer:
80 ÷ 8 = 10

Question 20.
72 ÷ 8 =
Answer:
72 ÷ 8 = 9

Question 21.
____ × 8 = 8
Answer:
1 × 8 = 8

Question 22.
____ × 8 = 40
Answer:
5 × 8 = 40

Question 23.
____ × 8 = 16
Answer:
2 × 8 = 16

Question 24.
____ × 8 = 80
Answer:
10 × 8 = 80

Question 25.
____ × 8 = 24
Answer:
3 × 8 = 24

Question 26.
16 ÷ 8 =
Answer:
16 ÷ 8 = 2

Question 27.
8 ÷ 8 =
Answer:
8 ÷ 8 = 1

Question 28.
80 ÷ 8 =
Answer:
80 ÷ 8 = 10

Question 29.
40 ÷ 8 =
Answer:
40 ÷ 8 = 5

Question 30.
24 ÷ 8 =
Answer:
24 ÷ 8 = 3

Question 31.
___ × 8 = 24
Answer:
3 × 8 = 24

Question 32.
___ × 8 = 32
Answer:
4 × 8 = 32

Question 33.
___ × 8 = 72
Answer:
9 × 8 = 72

Question 34.
___ × 8 = 56
Answer:
7 × 8 = 56

Question 35.
64 ÷ 8 =
Answer:
64 ÷ 8 = 8

Question 36.
72 ÷ 8 =
Answer:
72 ÷ 8 = 9

Question 37.
48 ÷ 8 =
Answer:
48 ÷ 8 = 6

Question 38.
56 ÷ 8 =
Answer:
56 ÷ 8 = 7

Question 39.
11 × 8 =
Answer:
11 × 8 = 88

Question 40.
88 ÷ 8 =
Answer:
88 ÷ 8 = 11

Question 41.
12 × 8 =
Answer:
12 × 8 =96

Question 42.
96 ÷ 8 =
Answer:
96 ÷ 8 = 12

Question 43.
13 × 8 =
Answer:
13 × 8 = 104

Question 44.
104 ÷ 8 =
Answer:
104 ÷ 8 = 13

Eureka Math Grade 3 Module 5 Lesson 10 Problem Set Answer Key

Question 1.
Each fraction strip is 1 whole. All the fraction strips are equal in length. Color 1 fractional unit in each strip. Then, answer the questions below.

Answer:

Question 2.
Circle less than or greater than. Whisper the complete sentence.

Answer:

Explanation :
If two fractions have the same numerator but different denominators the fraction with greater denominator is smaller.

Question 3.
Lily needs \(\frac{1}{3}\) cup of oil and \(\frac{1}{4}\) cup of water to make muffins. Will Lily use more oil or more water? Explain your answer using pictures, numbers, and words.
Answer:

Explanation :
Amount of Oil Lily needs = \(\frac{1}{3}\)
Amount of Water needed = \(\frac{1}{4}\)
We notice that \(\frac{1}{3}\) part is greater than \(\frac{1}{4}\)
\(\frac{1}{3}\) > \(\frac{1}{4}\) as shown in above figure.

Question 4.
Use >, <, or = to compare.

Answer:

Explanation :
If two fractions have the same numerator but different denominators the fraction with greater denominator is smaller.

Question 5.
Your friend Eric says that \(\frac{1}{6}\) is greater than \(\frac{1}{5}\) because 6 is greater than 5. Is Eric correct? Use words and pictures to explain what happens to the size of a unit fraction when the number of parts gets larger.
Answer:
No, It is Wrong .

Explanation :
If two fractions have the same numerator but different denominators the fraction with greater denominator is smaller.
The number of parts gets larger in the unit fraction when the denominator value is smaller .
\(\frac{1}{6}\) is lesser than \(\frac{1}{5}\)
Because \(\frac{1}{6}\) denominator is greater than \(\frac{1}{5}\)

Eureka Math Grade 3 Module 5 Lesson 10 Exit Ticket Answer Key

Question 1.
Each fraction strip is 1 whole. All the fraction strips are equal in length. Color 1 fractional unit in each strip. Then, circle the largest fraction and draw a star to the right of the smallest fraction.

Answer:

Question 2.
Use >, <, or = to compare.

Answer:

Explanation :
a . 1 eigths = \(\frac{1}{8}\) and 1 tenths = \(\frac{1}{10}\)
If two fractions have the same numerator but different denominators the fraction with greater denominator is smaller.
so, \(\frac{1}{8}\)  > \(\frac{1}{10}\)
b. 1 Whole = 1 and 5 fifths =5 \(\frac{1}{5}\) = 1
So, 1 whole = 5 fifths .
c . \(\frac{1}{7}\) is lesser tha \(\frac{1}{6}\) because
If two fractions have the same numerator but different denominators the fraction with greater denominator is smaller.

Eureka Math Grade 3 Module 5 Lesson 10 Homework Answer Key

Question 1.
Each fraction strip is 1 whole. All the fraction strips are equal in length. Color 1 fractional unit in each strip. Then, answer the questions below.

Answer:

Explanation :
Each fraction unit is colored with blue color as shown in above figure

Question 2.
Circle less than or greater than. Whisper the complete sentence.

Answer:

Explanation :
If two fractions have the same numerator but different denominators the fraction with greater denominator is smaller

Question 3.
After his football game, Malik drinks \(\frac{1}{2}\) liter of water and \(\frac{1}{3}\) liter of juice. Did Malik drink more water or juice? Draw and estimate to partition. Explain your answer.
Answer:

Explanation :
From the above we clearly notice that the quantity of water drank is more than quantity of water .
If two fractions have the same numerator but different denominators the fraction with greater denominator is smaller
so. \(\frac{1}{2}\) is greater than \(\frac{1}{3}\),

Question 4.
Use >, <, or = to compare.

Answer:

Explanation :
If two fractions have the same numerator but different denominators the fraction with greater denominator is smaller

Question 5.
Write a word problem about comparing fractions for your friends to solve. Be sure to show the solution so that your friends can check their work.
Answer:
In one Minute Mourish Ran \(\frac{1}{2}\) of the mile and gaurish ran \(\frac{1}{3}\) of the mile. Who ran Faster ?

From the above figure we can say that Mourish ran faster than Gaurish.