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Engage NY Eureka Math 4th Grade Module 1 Lesson 8 Answer Key

Eureka Math Grade 4 Module 1 Lesson 8 Sprint Answer Key

A
Find the Midpoint

Question 1.
0 10
Answer:
0  5 10

Explanation:
given
The starting number 0
The ending number 10
The half way point of 0 and 10 is 5.
So, the mid point of 0 and 10 is 5.

Question 2.
0 100
Answer:
0  50 100

Explanation:
given
The starting number 0
The ending number 100
The half way point of 0 and 100 is 50.
So, the mid point of 0 and 100 is 50.

Question 3.
0 1000
Answer:
0 500 1000

Explanation:
given
The starting number 0
The ending number 1000
The half way point of 0 and 1000 is 500.
So, the mid point of 0 and 1000 is 500.

Question 4.
10 20
Answer:
10  15  20

Explanation:
given
The starting number 10
The ending number 20
The half way point of 10 and 20 is 15.

Question 5.
100 200
Answer:
100  150 200

Explanation:
given
The starting number 100
The ending number 200
The half way point of 100 and 200 is 150.

Question 6.
1000 2000
Answer:
1000  1500 2000

Explanation:
given
The starting number 1000
The ending number 2000
The half way point of 1000 and 2000 is 1500.

Question 7.
30 40
Answer:
30  35  40

Explanation:
given
The starting number 30
The ending number 40
The half way point of 30 and 40 is 35.

Question 8.
300 400
Answer:
300  350  400

Explanation:
given
The starting number 300
The ending number 400
The half way point of 300 and 400 is 350..

Question 9.
400 500
Answer:
400  450  500

Explanation:
given
The starting number 400
The ending number 500
The half way point of 400 and 500 is 450.

Question 10.
20 30
Answer:
20  25  30

Explanation:
given
The starting number 20
The ending number 30
The half way point of 20 and 30 is 25.

Question 11.
30 40
Answer:
30  35  40

Explanation:
given
The starting number 30
The ending number 40
The half way point of 30 and 40 is 35.

Question 12.
40 50
Answer:
40  45 50

Explanation:
given
The starting number 40
The ending number 50
The half way point of 40 and 50 is 45.

Question 13.
50 60
Answer:
50  55  60

Explanation:
given
The starting number 50
The ending number 60
The half way point of 50 and 60 is 55.

Question 14.
500 600
Answer:
500  550 600
Explanation:
given
The starting number 500
The ending number 600
The half way point of 500 and 600 is 550.

Question 15.
5000 6000
Answer:
5000    5500  6000
Explanation:
given
The starting number 5000
The ending number 6000
The half way point of 5000 and 6000 is 5500.

Question 16.
200 300
Answer:
200  250  300
Explanation:
given
The starting number 200
The ending number 300
The half way point of 200 and 300 is 250.

Question 17.
300 400
Answer:
300  350 400
Explanation:
given
The starting number 300
The ending number 400
The half way point of 300 and 400 is 350.

Question 18.
700 800
Answer:
700 750  800
Explanation:
given
The starting number 700
The ending number 800
The half way point of 700 and 800 is 750.

Question 19.
5700 5800
Answer:
5700  5750  5800

Explanation:
given
The starting number 5700
The ending number 5800
The half way point of 5700 and 5800 is 5750.

Question 20.
70 80
Answer:
70  75  80
Explanation:
given
The starting number 70
The ending number 80
The half way point of 70 and 80 is 75.
So, the mid point of 70 and 80 is 75.

Question 21.
670 680
Answer:
670  675 680

Explanation:
given
The starting number 670
The ending number 680
The half way point of 670 and 680 is 675.

Question 22.
6700 6800
Answer:
6700  6750 6800

Explanation:
given
The starting number 6700
The ending number 6800
The half way point of 6700 and 6800 is 6750.

Question 23.
6000 7000
Answer:
6000   6500  7000

Explanation:
given
The starting number 6000
The ending number 7000
The half way point of 6000 and 7000 is 6500.

Question 24.
600 700
Answer:
600   650  700
Explanation:
given
The starting number 600
The ending number 700
The half way point of 600 and 700 is 650.

Question 25.
60 70
Answer:
60  65  70

Explanation:
given
The starting number 60
The ending number 70
The half way point of 60 and 70 is 65.

Question 26.
260 270
Answer:
260   265  270

Explanation:
given
The starting number 260
The ending number 270
The half way point of 260 and 270 is 265.

Question 27.
9260 9270
Answer:
9260   9265  9270

Explanation:
given
The starting number 9260
The ending number 9270
The half way point of 9260 and 9270 is 9265.

Question 28.
80 90
Answer:
80   85  90

Explanation:
given
The starting number 80
The ending number 90
The half way point of 80 and 90 is 85.

Question 29.
90 100
Answer:
90   95  100

Explanation:
given
The starting number 90
The ending number 100
The half way point of 90 and 100 is 95.

Question 30.
990 1000
Answer:
990   995 1000

Explanation:
given
The starting number 990
The ending number 1000
The half way point of 990 and 1000 is 995.

Question 31.
9990 10,000
Answer:
9990   9995 10,000

Explanation:
given
The starting number 9990
The ending number 10,000
The half way point of 9990 and 10,000 is 9995.

Question 32.
440 450
Answer:
440   445 450

Explanation:
given
The starting number 440
The ending number 450
The half way point of 440 and 450 is 445.

Question 33.
8300 8400
Answer:
8300  8350 8400

Explanation:
given
The starting number 8300
The ending number 8400
The half way point of 8300 and 8400 is 8350.

Question 34.
680 690
Answer:
680  685  690

Explanation:
given
The starting number 680
The ending number 690
The half way point of 680 and 690 is 685.

Question 35.
9400 9500
Answer:
9400   9450  9500

Explanation:
given
The starting number 9400
The ending number 9500
The half way point of 9400 and 9500 is 9450.

Question 36.
3900 4000
Answer:
3900   3950  4000

Explanation:
given
The starting number 3900
The ending number  4000
The half way point of 3900 and 4000 is 3950.

Question 37.
2450 2460
Answer:
2450   2455  2460

Explanation:
given
The starting number 2450
The ending number 2460
The half way point of 2450 and 2460 is 2455.

Question 38.
7080 7090
Answer:
7080  7085 7090

Explanation:
given
The starting number 7080
The ending number 7090
The half way point of 7080 and 7090 is 7085.

Question 39.
3200 3210
Answer:
3200  3205  3210

Explanation:
given
The starting number 3200
The ending number 3210
The half way point of 3200 and 3210 is 3205.

Question 40.
8630 8640
Answer:
8630  8635  8640

Explanation:
given
The starting number 8630
The ending number 8640
The half way point of 8630 and 8640 is 8635.

Question 41.
8190 8200
Answer:
8190  8195  8200

Explanation:
given
The starting number 8190
The ending number 8200
The half way point of 8190 and 8200 is 8195.

Question 42.
2510 2520
Answer:
2510    2515  2520

Explanation:
given
The starting number 2510
The ending number 2520
The half way point of 2510 and 2520 is 2515.

Question 43.
4890 4900
Answer:
4890  4895  4900

Explanation:
given
The starting number 4890
The ending number 4900
The half way point of 4890 and 4900 is 4895.

Question 44.
6660 6670
Answer:
6660  6665  6670

Explanation:
given
The starting number 6660
The ending number 6670
The half way point of 6660 and 6670 is 6665.

B
Find the Midpoint

Question 1.
10 20
Answer:
10  15  20

Explanation:
given
The starting number 10
The ending number 20
The half way point of 10 and 20 is 15.

Question 2.
100 200
Answer:
100  150  200

Explanation:
given
The starting number 100
The ending number 200
The half way point of 100 and 200 is 150.

Question 3.
1000 2000
Answer:
1000   1500  2000

Explanation:
given
The starting number 1000
The ending number 2000
The half way point of 1000 and 2000 is 1500.

Question 4.
20 30
Answer:
20  25  30

Explanation:
given
The starting number 20
The ending number 30
The half way point of  20 and 30 is 25.

Question 5.
200 300
Answer:
200  250  300

Explanation:
given
The starting number 200
The ending number 300
The half way point of 200 and 300 is 250.

Question 6.
2000 3000
Answer:
2000  2500 3000

Explanation:
given
The starting number 2000
The ending number 3000
The half way point of 2000 and 3000 is 2500.

Question 7.
40 50
Answer:
40  45 50

Explanation:
given
The starting number 40
The ending number 50
The half way point of 40 and 50 is 45.

Question 8.
400 500
Answer:
400  450  500

Explanation:
given
The starting number 400
The ending number 500
The half way point of 400 and 500 is 450.

Question 9.
500 600
Answer:
500  550  600

Explanation:
given
The starting number 500
The ending number 600
The half way point of 500 and 600 is 550.

Question 10.
30 40
Answer:
30  35  40

Explanation:
given
The starting number 30
The ending number 40
The half way point of 30 and 40 is 35.

Question 11.
40 50
Answer:
40  45  50

Explanation:
given
The starting number 40
The ending number 50
The half way point of 40 and 50 is 45.

Question 12.
50 60
Answer:
50  55  60

Explanation:
given
The starting number 50
The ending number 60
The half way point of 50 and 60 is 55.

Question 13.
60 70
Answer:
60  65  70

Explanation:
given
The starting number 60
The ending number 70
The half way point of 60 and 70 is 65.

Question 14.
600 700
Answer:
600  650  700

Explanation:
given
The starting number 600
The ending number 700
The half way point of 600 and 700 is 650.

Question 15.
6000 7000
Answer:
6000  6500 7000

Explanation:
given
The starting number 6000
The ending number 7000
The half way point of 6000 and 7000 is 6500.

Question 16.
300 400
Answer:
300   350  400

Explanation:
given
The starting number 300
The ending number 400
The half way point of 300 and 400 is 350.

Question 17.
400 500
Answer:
400  450  500

Explanation:
given
The starting number 400
The ending number 500
The half way point of 400 and 500 is 450.

Question 18.
800 900
Answer:
800  850  900

Explanation:
given
The starting number 800
The ending number 900
The half way point of 800 and 900 is 850.

Question 19.
5800 5900
Answer:
5800  5850 5900

Explanation:
given
The starting number 5800
The ending number 5900
The half way point of 5800 and 5900 is 5850.

Question 20.
80 90
Answer:
80  85 90

Explanation:
given
The starting number 80
The ending number 90
The half way point of 80 and 90 is 85.

Question 21.
680 690
Answer:
680  685 690

Explanation:
given
The starting number 680
The ending number 690
The half way point of 680 and 690 is 685.

Question 22.
6800 6900
Answer:
6800  6850 6900

Explanation:
given
The starting number 6800
The ending number 6900
The half way point of 6800 and 6900 is 6850.

Question 23.
7000 8000
Answer:
7000  7500 8000

Explanation:
given
The starting number 7000
The ending number 8000
The half way point of 7000 and 8000 is 7500.

Question 24.
700 800
Answer:
700  750 800

Explanation:
given
The starting number 700
The ending number 800
The half way point of 700 and 800 is 750.

Question 25.
70 80
Answer:
70  75 80

Explanation:
given
The starting number 70
The ending number 80
The half way point of 70 and 80 is 75..

Question 26.
270 280
Answer:
270  275 280

Explanation:
given
The starting number 270
The ending number 280
The half way point of 270 and 280 is 275.

Question 27.
9270 9280
Answer:
9270  9275  9280

Explanation:
given
The starting number 9270
The ending number 9280
The half way point of 9270 and 9280 is 9275.

Question 28.
80 90
Answer:
80  85  90

Explanation:
given
The starting number 80
The ending number 90
The half way point of 80 and 90 is 85.

Question 29.
90 100
Answer:
90  95 100

Explanation:
given
The starting number 90
The ending number 100
The half way point of 90 and 100 is 95.

Question 30.
990 1000
Answer:
990  995 1000

Explanation:
given
The starting number 990
The ending number 1000
The half way point of 990 and 1000 is 995.

Question 31.
9990 10,000
Answer:
9990  9995 10,000

Explanation:
given
The starting number 9990
The ending number 10,000
The half way point of 9990  and 10,000 is 9995.

Question 32.
450 460
Answer:
450  455  460

Explanation:
given
The starting number 450
The ending number 460
The half way point of 450 and 460 is 455 .

Question 33.
8400 8500
Answer:
8400  8450  8500

Explanation:
given
The starting number 8400
The ending number 8500
The half way point of 8400 and 8500 is 8450.

Question 34.
580 590
Answer:
580  585  590

Explanation:
given
The starting number 580
The ending number 590
The half way point of 580 and 590 is 585.

Question 35.
9500 9600
Answer:
9500  9550  9600

Explanation:
given
The starting number 9500
The ending number 9600
The half way point of 9500 and 9600 is 9550.

Question 36.
2900 3000
Answer:
2900  2950 3000

Explanation:
given
The starting number 2900
The ending number 3000
The half way point of 2900 and 3000 is 2950.

Question 37.
3450 3460
Answer:
3450  3455 3460

Explanation:
given
The starting number 3450
The ending number 3460
The half way point of 3450 and 3460 is 3455.

Question 38.
6080 6090
Answer:
6080  6085 6090

Explanation:
given
The starting number 6080
The ending number 6090
The half way point of 6080 and 6090 is 6085 .

Question 39.
4200 4210
Answer:
4200  4205 4210

Explanation:
given
The starting number 4200
The ending number 4210
The half way point of 4200  and 4210 is 4205.

Question 40.
7630 7640
Answer:
7630  7635 7640

Explanation:
given
The starting number 7630
The ending number 7640
The half way point of 7630 and 7640 is 7635.

Question 41.
7190 7200
Answer:
7190  7195  7200

Explanation:
given
The starting number 7190
The ending number 7200
The half way point of 7190 and 7200 is 75.

Question 42.
3510 3520
Answer:
3510  3515  3520

Explanation:
given
The starting number 3510
The ending number 3520
The half way point of 3510 and 3520 is 3515.

Question 43.
5890 5900
Answer:
5890  5895  5900

Explanation:
given
The starting number 5890
The ending number 5900
The half way point of 5890 and 5900 is 5895.

Question 44.
7770 7780
Answer:
7770    7775   7780
Explanation:
given
The starting number 7770
The ending number 7780
The half way point of 7770 and 7780 is 7775.

Eureka Math Grade 4 Module 1 Lesson 8 Problem Set Answer Key

Complete each statement by rounding the number to the given place value. Use the number line to show your work.

Question 1.
a. 53,000 rounded to the nearest ten thousand is _______________.

Answer:

Explanation:
Given 53,000
50,000 is the starting number and 60,000 is the end number.
The mid point of both is 55,000. Since the  number is less than the mid point the nearest ten thousand to 53,000 is 50,000
b. 42,708 rounded to the nearest ten thousand is _______________.

Answer:

Explanation:
Given 42,708
The starting number of the number line 42,000
The ending number of the number line is 43,000
The mid point of both the numbers is 42,500 and the given number is 42,708 which is more than the mid point.So, the number is nearer to 43,000.
c. 406,823 rounded to the nearest ten thousand is _______________.

Answer:

Explanation:
Given 406,823
The starting number of the number line 400,000
The ending number of the number line is 410,000
The mid point of both the numbers is 405,000 and the given number is 406,823 which is more than the mid point.So, the number is nearer to 410,000.

Question 2.
a. 240,000 rounded to the nearest hundred thousand is _______________.

Answer:

Explanation:
Given 240,000
The starting number of the number line 200,000
The ending number of the number line is 300,000
The mid point of both the numbers is 250,000 and the given number is 240,000 which is less than the mid point.So, the number is nearer to 200,000.
b. 449,019 rounded to the nearest hundred thousand is _______________.

Answer:

Explanation:
Given 449,019
The starting number of the number line is 400,000
The ending number of the number line is 500,000
The mid point of both the numbers is 450,000 and the given number is 449,019 which is less than the mid point.So, the number is nearest to 400,000.
c. 964,103 rounded to the nearest hundred thousand is _______________.

Answer:

Explanation:
Given 964,103
The starting number of the number line 900,000
The ending number of the number line is 1,000,000
The mid point of both the numbers is 950,000 and the given number is 964,103 which is more than the mid point.So, the number is nearer to 1,000,000.
Question 3.
975,462 songs were downloaded in one day. Round this number to the nearest hundred thousand to estimate how many songs were downloaded in one day. Use a number line to show your work.
Answer:
Given 975,462 songs
Round this number to the nearest hundred thousand

Question 4.
This number was rounded to the nearest ten thousand. List the possible digits that could go in the thousands place to make this statement correct. Use a number line to show your work.
13_ ,644 ≈ 130,000
Answer:
13_ ,644 ≈ 130,000
The possible digits could be 1 , 2 , 3 , 4

Question 5.
Estimate the difference by rounding each number to the given place value.
712,350 − 342,802
a. Round to the nearest ten thousands.
Answer:

b. Round to the nearest hundred thousands.
Answer:

Eureka Math Grade 4 Module 1 Lesson 8 Exit Ticket Answer Key

Question 1.
Round to the nearest ten thousand. Use the number line to model your thinking.

a. 35,124
Answer:

Explanation:
Given 35,124
The starting number of the number line 30,000
The ending number of the number line is 40,000
The mid point of both the numbers is 35,000 and the given number is 35,124 which is more than the mid point.So, the number is nearer to 40,000.

b. 981,657
Answer:

Explanation:
Given 981,657
The starting number of the number line 980,000
The ending number of the number line is 990,000
The mid point of both the numbers is 985,000 and the given number is 981,657 which is less than the mid point.So, the number is nearer to 980,000.

Question 2.
Round to the nearest hundred thousand. Use the number line to model your thinking.

a. 89,678 ≈ ___________
Answer:


b. 999,765 ≈ ___________
Answer:

Question 3.
Estimate the sum by rounding each number to the nearest hundred thousand.
257,098 + 548,765 ≈ ___________
Answer:

Eureka Math Grade 4 Module 1 Lesson 8 Homework Answer Key

Complete each statement by rounding the number to the given place value. Use the number line to show your work.

Question 1.
a. 67,000 rounded to the nearest ten thousand is _______________.

Answer:

b. 51,988 rounded to the nearest ten thousand is _______________.

Answer:

c. 105,159 rounded to the nearest ten thousand is _______________.

Answer:

Question 2.
a. 867,000 rounded to the nearest hundred thousand is _______________.

Answer:

b. 767,074 rounded to the nearest hundred thousand is _______________.

Answer:

c. 629,999 rounded to the nearest hundred thousand is _______________.

Answer:

Question 3.
491,852 people went to the water park in the month of July. Round this number to the nearest hundred thousand to estimate how many people went to the park. Use a number line to show your work.
Answer:
Number of people went to the water park in the month of July are = 491,852

Approximately 500,000 people went to water park in the month of July.

Question 4.
This number was rounded to the nearest hundred thousand. List the possible digits that could go in the ten thousands place to make this statement correct. Use a number line to show your work.
1_9,644 ≈ 100,000
Answer:
1_9,644 ≈ 100,000
The possible digits that could go in the ten thousand place to make the statement correct are 1, 2 , 3 , 4.

Question 5.
Estimate the sum by rounding each number to the given place value.
164,215 + 216,088
a. Round to the nearest ten thousand.
Answer:

b. Round to the nearest hundred thousand.
Answer:

Eureka Math Grade 4 Module 1 Answer Key

Engage NY Eureka Math 4th Grade Module 1 Lesson 7 Answer Key

Eureka Math Grade 4 Module 1 Lesson 7 Problem Set Answer Key

Question 1.
Round to the nearest thousand. Use the number line to model your thinking.
a. 6,700 ≈ _________________

Answer:

b. 9,340 ≈ _________________

Answer:

c. 16,401 ≈ _________________

Answer:

d. 39,545 ≈ _________________

Answer:

e. 399,499 ≈ _________________

Answer:

f. 840,007 ≈ _________________

Answer:

Question 2.
A pilot wanted to know about how many kilometers he flew on his last 3 flights. From NYC to London, he flew 5,572 km. Then, from London to Beijing, he flew 8,147 km. Finally, he flew 10,996 km from Beijing back to NYC. Round each number to the nearest thousand, and then find the sum of the rounded numbers to estimate about how many kilometers the pilot flew.
Answer:
Readings of the 3 flights a pilot flew are
From NYC to London = 5,572 km
From London to Beijing = 8,147 km
From Beijing back to NYC = 10,996 km

The sum of the rounded numbers to estimate about how many kilometers the pilot flew is 24,500 km.

Question 3.
Mrs. Smith’s class is learning about healthy eating habits. The students learned that the average child should consume about 12,000 calories each week. Kerry consumed 12,748 calories last week. Tyler consumed 11,702 calories last week. Round to the nearest thousand to find who consumed closer to the recommended number of calories. Use pictures, numbers, or words to explain.
Answer:
Mrs.Smith’s class is learning about healthy eating habits.
The average calories a child should consume each week = 12,000.
Number of calories Kerry consumed last week = 12,748
Number of calories Tyler consumed last week = 11,702

Question 4.
For the 2013-2014 school year, the cost of tuition at Cornell University was $43,000 when rounded to the nearest thousand. What is the greatest possible amount the tuition could be? What is the least possible amount the tuition could be?
Answer:
For the year 2013 – 2014 school year
The cost of tuition at Cornell University was $43,000

Eureka Math Grade 4 Module 1 Lesson 7 Exit Ticket Answer Key

Question 1.
Round to the nearest thousand. Use the number line to model your thinking.

a. 7,621 ≈ ___________
Answer:

b. 12,502 ≈ ___________
Answer:

c. 324,087 ≈ ___________
Answer:

Question 2.
It takes 39,090 gallons of water to manufacture a new car. Sammy thinks that rounds up to about 40,000 gallons. Susie thinks it is about 39,000 gallons. Who rounded to the nearest thousand, Sammy or Susie? Use pictures, numbers, or words to explain.
Answer:
To manufacture a new car it takes = 39,090 gallons.
Sammy thinks that rounds up to = 40,000 gallons
Susie thinks that rounds up to = 39,000 gallons.
Susie rounded to the nearest thousand.

Eureka Math Grade 4 Module 1 Lesson 7 Homework Answer Key

Question 1.
Round to the nearest thousand. Use the number line to model your thinking.
a. 5,900 ≈ _________________

Answer:

b. 4,180 ≈ _________________

Answer:

c. 32,879 ≈ _________________

Answer:

d. 78,600 ≈ _________________

Answer:

e. 251,031 ≈ _________________

Answer:

f. 699,900 ≈ _________________

Answer:

Question 2.
Steven put together 981 pieces of a puzzle. About how many pieces did he put together? Round to the nearest thousand. Use what you know about place value to explain your answer.
Answer:
Steven put together 981 pieces of a puzzle.
Steven put together around 1,000 pieces of puzzle.

Question 3.
Louise’s family went on vacation to Disney World. Their vacation cost $5,990. Sophia’s family went on vacation to Niagara Falls. Their vacation cost $4,720. Both families budgeted about $5,000 for their vacation. Whose family stayed closer to the budget? Round to the nearest thousand. Use what you know about place value to explain your answer.
Answer:
Louise’s family vacation cost to Disney World  was = $5,990
Sophia’s family vacation cost to Niagara Falls was = $4,720

Sophia’s family stayed closer to the budget.

Question 4.
Marsha’s brother wanted help with the first question on his homework. The question asked the students to round 128,902 to the nearest thousand and then to explain the answer. Marsha’s brother thought that the answer was 128,000. Was his answer correct? How do you know? Use pictures, numbers, or words to explain.
Answer:
Marsha’s brother wanted help round 128,902 to the nearest thousand =
129,000 is the nearest thousand from the below image.

Marsha’s brother thought that the answer was 128,000 which was not correct.as the difference between 128,902 and 128,000 =902.
Whereas the difference between 129,000 and 128,902 = 98.
On comparing the difference 98 is less than 902. So, 129,000 is the nearest thousand to 128,902.

Eureka Math Grade 4 Module 1 Answer Key

Engage NY Eureka Math 4th Grade Module 1 Lesson 6 Answer Key

Eureka Math Grade 4 Module 1 Lesson 6 Problem Set Answer Key

Question 1.
Label the place value chart. Use place value disks to find the sum or difference. Write the answer in standard form on the line.
a. 10,000 more than six hundred five thousand, four hundred seventy-two is ___________________.

Answer:

b. 100 thousand less than 400,000 + 80,000 + 1,000 + 30 + 6 is ____________________.

Answer:

c. 230,070 is _______________________________________ than 130,070.

Answer:

Question 2.
Lucy plays an online math game. She scored 100,000 more points on Level 2 than on Level 3. If she scored 349,867 points on Level 2, what was her score on Level 3? Use pictures, words, or numbers to explain your thinking.
Answer:
Points scored by Lucy on level 2 = 349,867
The points scored by Lucy on level 2 are 100,000 more than level 3.
The points scored by Lucy on Level 3 = 349,867 – 100,000 = 249,867.
Lucy’s score on level 3 is 249,867.

Question 3.
Fill in the blank for each equation.
a. 10,000 + 40,060 = ____________
Answer:
10,000 + 40,060 = 50,060
b. 21,195 – 10,000 = ____________
Answer:
21,195 – 10,000 = 11,195
c. 999,000 + 1,000 = ______________
Answer:
999,000 + 1,000 = 1,000,000
d. 129,231 – 100,000 = ____________
Answer:
129,231 – 100,000 = 29,231
e. 122,000 = 22,000 + ____________
Answer:
122,000 = 22,000 + 100,000
f. 38,018 = 39,018 – ______________
Answer:
38,018 = 39,018 – 1,000

Question 4.
Fill in the empty boxes to complete the patterns.
a.

Explain in pictures, numbers, or words how you found your answers.
Answer:

Their is a increase of 10,000 each time.

b.

Explain in pictures, numbers, or words how you found your answers.
Answer:

Their is a decrease of 100,000 or 1 hundred thousand for each count.

c.

Explain in pictures, numbers, or words how you found your answers.
Answer:

Their is a decrease of 1,000 each count.

d.

Explain in pictures, numbers, or words how you found your answers.
Answer:

Their is a decrease of 10,000 for each count.

Eureka Math Grade 4 Module 1 Lesson 6 Exit Ticket Answer Key

Question 1.
Fill in the empty boxes to complete the pattern.

Explain in pictures, numbers, or words how you found your answers.
Answer:

Their is a increase of 1,000 for each count.

Question 2.
Fill in the blank for each equation.
a. 1,000 + 56,879 = ____________
Answer:
1,000 + 56,879 = 57,879
b. 324,560 – 100,000 = ____________
Answer:
324,560 – 100,000 = 224,560
c. 456,080 – 10,000 = ______________
Answer:
456,080 – 10,000 = 446,080
d. 10,000 + 786,233 = ____________
Answer:
10,000 + 786,233 = 796,233

Question 3.
The population of Rochester, NY, in the 2000 Census was 219,782. The 2010 Census found that the population decreased by about 10,000. About how many people lived in Rochester in 2010? Explain in pictures, numbers, or words how you found your answer.
Answer:
The population of Rochester, NY, in different years.
In 2000 Census population was = 219,782
In 2010 the population decreased by about 10,000.
The people lived in Rochester in 2010 = 219,782 – 10,000 = 209,782.
209,782 people lived in Rochester in 2010.

Eureka Math Grade 4 Module 1 Lesson 6 Homework Answer Key

Question 1.
Label the place value chart. Use place value disks to find the sum or difference. Write the answer in standard form on the line.
a. 100,000 less than five hundred sixty thousand, three hundred thirteen is ______________.

Answer:

b. Ten thousand more than 300,000 + 90,000 + 5,000 + 40 is ____________________.

Answer:

c. 447,077 is _______________________________________ than 347,077.

Answer:

Question 2.
Fill in the blank for each equation:
a. 100,000 + 76,960 = ____________
b. 13,097 – 1,000 = ____________
c. 849,000 – 10,000 = ______________
d. 442,210 + 10,000 = ____________
e. 172,090 = 171,090 + ____________
f. 854,121 = 954,121 – ____________
Answers:
a. 100,000 + 76,960 = 176,960
b. 13,097 – 1,000 = 12,097
c. 849,000 – 10,000 = 839,000
d. 442,210 + 10,000 = 452,210 
e. 172,090 = 171,090 + 1,000
f. 854,121 = 954,121 –  100,000

Question 3.
Fill in the empty boxes to complete the patterns.
a.

Explain in pictures, numbers, or words how you found your answers.
Answer:

Their is a increase of 1,000 for each count.
b.

Explain in pictures, numbers, or words how you found your answers.
Answer:

Their is a increase of 10,000 with each count.
c.

Explain in pictures, numbers, or words how you found your answers.
Answer:

Their is a increase of 100,000.
d.

Explain in pictures, numbers, or words how you found your answers.
Answer:

Their is a decrease of 10,000 with each count.

Question 4.
In 2012, Charlie earned an annual salary of $54,098. At the beginning of 2013, Charlie’s annual salary was raised by $10,000. How much money will Charlie earn in 2013? Use pictures, words, or numbers to explain your thinking.
Answer:
Charlie annual salary in 2012 was $54,098
Charlie’s annual salary raised in the beginning of 2013 by $10,000
Charlie’s earnings in 2013 = $54,098 +$10,000 = $64,098.
Charlie will earn $64,098 in 2013.

Eureka Math Grade 4 Module 1 Answer Key

Engage NY Eureka Math 4th Grade Module 1 Lesson 5 Answer Key

Eureka Math Grade 4 Module 1 Lesson 5 Sprint Answer Key

A
Multiply by 4

Question 1.
1 × 4 =
Answer:
1 × 4 = 4.

Question 2.
4 × 1 =
Answer:
4 × 1 = 4.

Question 3.
2 × 4 =
Answer:
2 × 4 = 8.

Question 4.
4 × 2 =
Answer:
4 × 2 =8.

Question 5.
3 × 4 =
Answer:
3 × 4 = 12.

Question 6.
4 × 3 =
Answer:
4 × 3 = 12.

Question 7.
4 × 4 =
Answer:
4 × 4 = 16.

Question 8.
5 × 4 =
Answer:
5 × 4 = 20.

Question 9.
4 × 5 =
Answer:
4 × 5 = 20.

Question 10.
6 × 4 =
Answer:
6 × 4 = 24.

Question 11.
4 × 6 =
Answer:
4 × 6 = 24.

Question 12.
7 × 4 =
Answer:
7 × 4 = 28.

Question 13.
4 × 7 =
Answer:
4 × 7 = 28.

Question 14.
8 × 4 =
Answer:
8 × 4 = 32.

Question 15.
4 × 8 =
Answer:
4 × 8 = 32.

Question 16.
9 × 4 =
Answer:
9 × 4 = 36.

Question 17.
4 × 9 =
Answer:
4 × 9 = 36.

Question 18.
10 × 4 =
Answer:
10 × 4 = 40.

Question 19.
4 × 10 =
Answer:
4 × 10 = 40.

Question 20.
4 × 3 =
Answer:
4 × 3 = 12.

Question 21.
1 × 4 =
Answer:
1 × 4 = 4.

Question 22.
2 × 4 =
Answer:
2 × 4 = 8.

Question 23.
10 × 4 =
Answer:
10 × 4 = 40.

Question 24.
9 × 4 =
Answer:
9 × 4 = 36.

Question 25.
4 × 4 =
Answer:
4 × 4 = 16.

Question 26.
8 × 4 =
Answer:
8 × 4 = 32.

Question 27.
4 × 3 =
Answer:
4 × 3 = 12.

Question 28.
7 × 4 =
Answer:
7 × 4 = 28.

Question 29.
6 × 4 =
Answer:
6 × 4 = 24.

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

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

Question 32.
4 × 6 =
Answer:
4 × 6 = 24.

Question 33.
4 × 1 =
Answer:
4 × 1 = 4.

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

Question 35.
4 × 4 =
Answer:
4 × 4 = 16.

Question 36.
4 × 3 =
Answer:
4 × 3 = 12.

Question 37.
4 × 2 =
Answer:
4 × 2 = 8.

Question 38.
4 × 7 =
Answer:
4 × 7 = 28.

Question 39.
4 × 8 =
Answer:
4 × 8 = 32.

Question 40.
11 × 4 =
Answer:
11 × 4 = 44.

Question 41.
4 × 11 =
Answer:
4 × 11 = 44.

Question 42.
12 × 4 =
Answer:
12 × 4 = 48.

Question 43.
4 × 12 =
Answer:
4 × 12 = 48.

Question 44.
13 × 4 =
Answer:
13 × 4 = 52.

B
Multiply by 4

Question 1.
4 × 1 =
Answer:
4 × 1 = 4.

Question 2.
1 × 4 =
Answer:
1 × 4 = 4.

Question 3.
4 × 2 =
Answer:
4 × 2 = 8.

Question 4.
2 × 4 =
Answer:
2 × 4 = 8.

Question 5.
4 × 3 =
Answer:
4 × 3 = 12.

Question 6.
3 × 4 =
Answer:
3 × 4 = 12.

Question 7.
4 × 4 =
Answer:
4 × 4 = 16.

Question 8.
4 × 5 =
Answer:
4 × 5 = 20.

Question 9.
5 × 4 =
Answer:
5 × 4 = 20.

Question 10.
4 × 6 =
Answer:
4 × 6 = 24.

Question 11.
6 × 4 =
Answer:
6 × 4 = 24.

Question 12.
4 × 7 =
Answer:
4 × 7 = 28.

Question 13.
7 × 4 =
Answer:
7 × 4 = 28.

Question 14.
4 × 8 =
Answer:
4 × 8 = 32.

Question 15.
8 × 4 =
Answer:
8 × 4 = 32.

Question 16.
4 × 9 =
Answer:
4 × 9 = 36.

Question 17.
9 × 4 =
Answer:
9 × 4 = 36.

Question 18.
4 × 10 =
Answer:
4 × 10 = 40.

Question 19.
10 × 4 =
Answer:
10 × 4 = 40.

Question 20.
1 × 4 =
Answer:
1 × 4 = 4.

Question 21.
10 × 4 =
Answer:
10 × 4 = 40.

Question 22.
2 × 4 =
Answer:
2 × 4 = 8.

Question 23.
9 × 4 =
Answer:
9 × 4 = 36.

Question 24.
3 × 4 =
Answer:
3 × 4 = 12.

Question 25.
8 × 4 =
Answer:
8 × 4 = 32.

Question 26.
4 × 4 =
Answer:
4 × 4 = 16.

Question 27.
7 × 4 =
Answer:
7 × 4 = 28.

Question 28.
5 × 4 =
Answer:
5 × 4 = 20.

Question 29.
6 × 4 =
Answer:
6 × 4 = 24.

Question 30.
4 × 5 =
Answer:
4 × 5 = 20.

Question 31.
4 × 10 =
Answer:
4 × 10 = 40.

Question 32.
4 × 1 =
Answer:
4 × 1 = 4.

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

Question 34.
4 × 4 =
Answer:
4 × 4 = 16.

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

Question 36.
4 × 2 =
Answer:
4 × 2 = 8.

Question 37.
4 × 7 =
Answer:
4 × 7 = 28.

Question 38.
4 × 3 =
Answer:
4 × 3 = 12.

Question 39.
4 × 8 =
Answer:
4 × 8 = 32.

Question 40.
11 × 4 =
Answer:
11 × 4 = 44.

Question 41.
4 × 11 =
Answer:
4 × 11 = 44.

Question 42.
12 × 4 =
Answer:
12 × 4 = 48.

Question 43.
4 × 12 =
Answer:
4 × 12 = 48

Question 44.
13 × 4 =
Answer:
13 × 4 = 52.

Eureka Math Grade 4 Module 1 Lesson 5 Problem Set Answer Key

Question 1.
Label the units in the place value chart. Draw place value disks to represent each number in the place value chart. Use <, >, or = to compare the two numbers. Write the correct symbol in the circle.

Answer:

Explanation:
a. comparing 600,015 and 60,015 numbers.
while comparing two number we see the highest place values of the both numbers.
In 600,015 numbers  highest place value is hundred thousands.
In 60,015 numbers  highest place value is ten thousand.
by comparing the place values 600,015 is greater than 60,015
600,015> 60,015.
b. Given 409,004 and 440,002
the highest place value of both the numbers are
409,004 numbers  highest place value is hundred thousand
440,002 numbers highest place value is hundred thousand. Since, both the numbers highest place value is same now compare the second highest place value.
409,004 the second highest place value is thousand
440,002 the second highest place value is ten thousand.
on comparing the second highest place 409,004 < 440,002 .
440,002 is greater than 409,004.

Question 2.
Compare the two numbers by using the symbols <, >, and =. Write the correct symbol in the circle.
a. 342,001 94,981
Answer:
342,001 > 94,981

Explanation:
The highest place value of 342,001 is 3 hundred thousand.
The highest place value of 94,981 is 9 ten thousand.
Hundred thousand is greater than ten thousand.
So, 342,001 > 94,981.
b. 500,000 + 80,000 + 9,000 + 100 five hundred eight thousand, nine hundred one
Answer:
500,000 + 80,000 + 9,000 + 100 = 589,100
five hundred eight thousand, nine hundred one = 508,901
comparing both
589,100 > 508,901
589,100 is greater than 508,901
508,901 is less than 589,100.
508901 < 589,100.

Explanation:
The highest place value of 589,100 is 5 hundred thousand.
The highest place value of 508,901 is  5 hundred thousand.
As both the values are same now compare the second highest place value.
The second highest place of 589,100 is 8 ten thousand.
The second highest place of 508,901 is 8 thousand.
So, on comparing the second highest values of both the numbers.
589,100 >  508,901 is greater.
508,901 <  589,100 is lesser.
c. 9 hundred thousands 8 thousands 9 hundreds 3 tens 908,930
Answer:
9 hundred thousands 8 thousands 9 hundreds 3 tens = 908,930.
908,930 = 908,930.

Explanation :
both the numbers  place values are same with same values.
d. 9 hundreds 5 ten thousands 9 ones 6 ten thousands 5 hundreds 9 ones
Answer:

Explanation:
Explanation:
The highest place value of 950,009 is 9 hundred thousand.
The highest place value of 60509 is 6 ten thousand.
Hundred thousand is greater than ten thousand.
950,009 > 60509.
950,009 greater than 60509.
60509 is less than 950,009.

Question 3.
Use the information in the chart below to list the height in feet of each mountain from least to greatest. Then, name the mountain that has the lowest elevation in feet.

Answer:

The list the height in feet of each mountain from least to greatest. is represented in the above image.

Question 4.
Arrange these numbers from least to greatest: 8,002 2,080 820 2,008 8,200
Answer:

Looking at the image. The arrangement of number from least to greatest is as below
820   2,008     2,080    8,002      8,200.

Question 5.
Arrange these numbers from greatest to least: 728,000 708,200 720,800 87,300
Answer:

From the above image. The arrangement of number from  greatest to least  is as below
728,000    720,800    708,200     87,300

Question 6.
One astronomical unit, or 1 AU, is the approximate distance from Earth to the sun. The following are the approximate distances from Earth to nearby stars given in AUs:

Alpha Centauri is 275,725 AUs from Earth.
Proxima Centauri is 268,269 AUs from Earth.
Epsilon Eridani is 665,282 AUs from Earth.
Barnard’s Star is 377,098 AUs from Earth.
Sirius is 542,774 AUs from Earth.
List the names of the stars and their distances in AUs in order from closest to farthest from Earth.
Answer:

Eureka Math Grade 4 Module 1 Lesson 5 Exit Ticket Answer Key

Question 1.
Four friends played a game. The player with the most points wins. Use the information in the table below to order the number of points each player earned from least to greatest. Then, name the person who won the game.

Answer:

Bonnie is the winner of the game as he earned the highest point of 2,976.
Question 2.
Use each of the digits 5, 4, 3, 2, 1 exactly once to create two different five-digit numbers.
a. Write each number on the line, and compare the two numbers by using the symbols < or >. Write the correct symbol in the circle.

Answer:

b. Use words to write a comparison statement for the problem above.
Answer:
54,321 is greater than 54,312.
54,312 is less than 54,321.

Eureka Math Grade 4 Module 1 Lesson 5 Homework Answer Key

Question 1.
Label the units in the place value chart. Draw place value disks to represent each number in the place value chart. Use <, >, or = to compare the two numbers. Write the correct symbol in the circle.

Answer:

Question 2.
Compare the two numbers by using the symbols <, >, and =. Write the correct symbol in the circle.
a. 501,107 89,171
Answer:

b. 300,000 + 50,000 + 1,000 + 800 six hundred five thousand, nine hundred eight
Answer:

c. 3 hundred thousands 3 thousands 8 hundreds 4 tens 303,840
Answer:

d. 5 hundreds 6 ten thousands 2 ones 3 ten thousands 5 hundreds 1 one
Answer:

Question 3.
Use the information in the chart below to list the height, in feet, of each skyscraper from shortest to tallest. Then, name the tallest skyscraper.

Answer:

Question 4.
Arrange these numbers from least to greatest: 7,550 5,070 750 5,007 7,505
Answer:

Question 5.
Arrange these numbers from greatest to least: 426,000 406,200 640,020 46,600
Answer:

Question 6.
The areas of the 50 states can be measured in square miles.
California is 158,648 square miles. Nevada is 110,567 square miles. Arizona is 114,007 square miles.
Texas is 266,874 square miles. Montana is 147,047 square miles, and Alaska is 587,878 square miles.
Arrange the states in order from least area to greatest area.
Answer:

Eureka Math Grade 4 Module 1 Answer Key

Engage NY Eureka Math 4th Grade Module 1 Lesson 4 Answer Key

Eureka Math Grade 4 Module 1 Lesson 4 Problem Set Answer Key

Question 1.
a. On the place value chart below, label the units, and represent the number 90,523.

Answer:
a.

b. Write the number in word form.
Answer:
Word form of 90,523 = ninety thousand five hundred twenty three.
c. Write the number in expanded form.
Answer:
Expanded form of 90,523 = 90,000 + 500 + 20 + 3.

Question 2.
a. On the place value chart below, label the units, and represent the number 905,203.

Answer:

b. Write the number in word form.
Answer:
word form of 905,203 = nine hundred five thousand two hundred and three.
c. Write the number in expanded form.
Answer:
expanded form of 905,203 = 900000 +5000 + 200 + 3.

Question 3.
Complete the following chart:

Answer:

Question 4.
Black rhinos are endangered, with only 4,400 left in the world. Timothy read that number as “four thousand, four hundred.” His father read the number as “44 hundred.” Who read the number correctly? Use pictures, numbers, or words to explain your answer.
Answer:
Both Timothy and his father read it correctly.
4,400 can be read as “four thousand, four hundred.” or “44 hundred.” As 44 hundred can be represented as 40 hundred + 4 hundred and 4 thousand can be written to 40 hundred. 40 hundred +4 hundred is 4,400 forty four hundred.

Eureka Math Grade 4 Module 1 Lesson 4 Exit Ticket Answer Key

Question 1.
Use the place value chart below to complete the following:

a. Label the units on the chart.
Answer:

b. Write the number 800,000 + 6,000 + 300 + 2 in the place value chart.
Answer:

c. Write the number in word form.
Answer:
word form of 806,302 = eight hundred six thousand three hundred and two.

Question 2.
Write one hundred sixty thousand, five hundred eighty-two in expanded form.
Answer:
one hundred sixty thousand, five hundred eighty-two in expanded form
160,582 = 100,000 + 60,000 + 500 + 80 +2 .

Eureka Math Grade 4 Module 1 Lesson 4 Homework Answer Key

Question 1.
a. On the place value chart below, label the units, and represent the number 50,679.

Answer:

b. Write the number in word form.
Answer:
word form of 50,679 = fifty thousand six hundred and seventy nine.
c. Write the number in expanded form.
Answer:
expanded form of 50,679 = 50,000 + 600 + 70 +9 .

Question 2.
a. On the place value chart below, label the units, and represent the number 506,709.

Answer:

b. Write the number in word form.
Answer:
word form of 506,709 = five hundred six thousand seven hundred and nine.
c. Write the number in expanded form.
Answer:
expanded form of 506,709 = 500,000 +6,000 + 700 + 9.

Question 3.
Complete the following chart:

Answer:

Question 4.
Use pictures, numbers, and words to explain another way to say sixty-five hundred.
Answer:
sixty-five hundred = 6,500
6500 can also be represented as 6 thousand 5 hundred.
6,500 in expanded form = 60 hundred  + 5 hundred. Here 60 hundred is converted to 6 thousand and it is represented as 6,000 + 500 = 6,500

Eureka Math Grade 4 Module 1 Answer Key

Engage NY Eureka Math 4th Grade Module 1 Lesson 3 Answer Key

Eureka Math Grade 4 Module 1 Lesson 3 Sprint Answer Key

A
Multiply by 3

Question 1.
1 × 3 =
Answer:
1 × 3 = 3.

Question 2.
3 × 1 =
Answer:
3 × 1 = 3.

Question 3.
2 × 3 =
Answer:
2 × 3 = 6.

Question 4.
3 × 2 =
Answer:
3 × 2 = 6.

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

Question 6.
4 × 3 =
Answer:
4 × 3 = 12.

Question 7.
3 × 4 =
Answer:
3 × 4 = 12.

Question 8.
5 × 3 =
Answer:
5 × 3 = 15.

Question 9.
3 × 5 =
Answer:
3 × 5 = 15.

Question 10.
6 × 3 =
Answer:
6 × 3 = 18.

Question 11.
3 × 6 =
Answer:
3 × 6 = 18.

Question 12.
7 × 3 =
Answer:
7 × 3 = 21.

Question 13.
3 × 7 =
Answer:
3 × 7 = 21.

Question 14.
8 × 3 =
Answer:
8 × 3 = 24.

Question 15.
3 × 8 =
Answer:
3 × 8 = 24.

Question 16.
9 × 3 =
Answer:
9 × 3 = 27.

Question 17.
3 × 9 =
Answer:
3 × 9 = 27.

Question 18.
10 × 3 =
Answer:
10 × 3 = 30.

Question 19.
3 × 10 =
Answer:
3 × 10 = 30.

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

Question 21.
1 × 3 =
Answer:
1 × 3 = 3.

Question 22.
2 × 3 =
Answer:
2 × 3 = 6.

Question 23.
10 × 3 =
Answer:
10 × 3 = 30.

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

Question 25.
4 × 3 =
Answer:
4 × 3 = 12.

Question 26.
8 × 3 =
Answer:
8 × 3 = 24.

Question 27.
5 × 3 =
Answer:
5 × 3 = 15.

Question 28.
7 × 3 =
Answer:
7 × 3 = 21.

Question 29.
6 × 3 =
Answer:
6 × 3 = 18.

Question 30.
3 × 10 =
Answer:
3 × 10 = 30.

Question 31.
3 × 5 =
Answer:
3 × 5 = 15.

Question 32.
3 × 6 =
Answer:
3 × 6 = 18.

Question 33.
3 × 1 =
Answer:
3 × 1 = 3.

Question 34.
3 × 9 =
Answer:
3 × 9 = 27.

Question 35.
3 × 4 =
Answer:
3 × 4 = 12.

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

Question 37.
3 × 2 =
Answer:
3 × 2 = 6.

Question 38.
3 × 7 =
Answer:
3 × 7 = 21.

Question 39.
3 × 8 =
Answer:
3 × 8 = 24.

Question 40.
11 × 3 =
Answer:
11 × 3 = 33.

Question 41.
3 × 11 =
Answer:
3 × 11 = 33.

Question 42.
12 × 3 =
Answer:
12 × 3 = 36.

Question 43.
3 × 13 =
Answer:
3 × 13 = 39.

Question 44.
13 × 3 =
Answer:
13 × 3 = 39.

B
Multiply by 3

Question 1.
3 × 1 =
Answer:
3 × 1 = 3.

Question 2.
1 × 3 =
Answer:
1 × 3 = 3.

Question 3.
3 × 2 =
Answer:
3 × 2 = 6.

Question 4.
2 × 3 =
Answer:
2 × 3 = 6.

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

Question 6.
3 × 4 =
Answer:
3 × 4 = 12.

Question 7.
4 × 3 =
Answer:
4 × 3 = 12.

Question 8.
3 × 5 =
Answer:
3 × 5 = 15.

Question 9.
5 × 3 =
Answer:
5 × 3 = 15.

Question 10.
3 × 6 =
Answer:
3 × 6 = 18.

Question 11.
6 × 3 =
Answer:
6 × 3 = 18.

Question 12.
3 × 7 =
Answer:
3 × 7 = 21.

Question 13.
7 × 3 =
Answer:
7 × 3 = 21.

Question 14.
3 × 8 =
Answer:
3 × 8 = 24.

Question 15.
8 × 3 =
Answer:
8 × 3 = 24.

Question 16.
3 × 9 =
Answer:
3 × 9 = 27.

Question 17.
9 × 3 =
Answer:
9 × 3 = 27.

Question 18.
3 × 10 =
Answer:
3 × 10 = 30.

Question 19.
10 × 3 =
Answer:
10 × 3 = 30.

Question 20.
1 × 3 =
Answer:
1 × 3 = 3.

Question 21.
10 × 3 =
Answer:
10 × 3 = 30.

Question 22.
2 × 3 =
Answer:
2 × 3 = 6.

Question 23.
9 × 3 =
Answer:
9 × 3 = 27.

Question 24.
3 × 3 =
Answer:
3 × 3 = 12.

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

Question 26.
4 × 3 =
Answer:
4 × 3 = 12.

Question 27.
7 × 3 =
Answer:
7 × 3 = 21.

Question 28.
5 × 3 =
Answer:
5 × 3 = 15.

Question 29.
6 × 3 =
Answer:
6 × 3 = 18.

Question 30.
3 × 5 =
Answer:
3 × 5 = 15.

Question 31.
3 × 10 =
Answer:
3 × 10 = 30.

Question 32.
3 × 1 =
Answer:
3 × 1 = 3.

Question 33.
3 × 6 =
Answer:
3 × 6 = 18.

Question 34.
3 × 4 =
Answer:
3 × 4 = 12.

Question 35.
3 × 9 =
Answer:
3 × 9 = 27

Question 36.
3 × 2 =
Answer:
3 × 2 = 6.

Question 37.
3 × 7 =
Answer:
3 × 7 = 21.

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

Question 39.
3 × 8 =
Answer:
3 × 8 = 24.

Question 40.
11 × 3 =
Answer:
11 × 3 = 33.

Question 41.
3 × 11 =
Answer:
3 × 11 = 33

Question 42.
13 × 3 =
Answer:
13 × 3 = 39

Question 43.
3 × 13 =
Answer:
3 × 13 = 39

Question 44.
12 × 3 =
Answer:
12 × 3 = 36.

Eureka Math Grade 4 Module 1 Lesson 3 Problem Set Answer Key

Question 1.
Rewrite the following numbers including commas where appropriate:
a. 1234 _________________
Answer:
1,234
b. 12345 ________________
Answer:
12,345
c. 123456 ________________
Answer:
123,456
d. 1234567 _____________________
Answer:
1,234,567
e. 12345678901 _____________________
Answer:
12,345,678,901

Question 2.
Solve each expression. Record your answer in standard form.

Answer:

Question 3.
Represent each addend with place value disks in the place value chart. Show the composition of larger units from 10 smaller units. Write the sum in standard form.
a. 4 thousands + 11 hundreds = ______________________________________

Answer:

b. 24 ten thousands + 11 thousands = ______________________________________

Answer:

Question 4.
Use digits or disks on the place value chart to represent the following equations. Write the product in standard form.
a. 10 × 3 thousands = _____________________________________
How many thousands are in the answer? ___________________

Answer:

b. (3 ten thousands 2 thousands) × 10 = _____________________________
How many thousands are in the answer? __________________________

Answer :

c. (32 thousands 1 hundred 4 ones) × 10 = ___________________________
How many thousands are in your answer? _________________________

Answer:

Question 5.
Lee and Gary visited South Korea. They exchanged their dollars for South Korean bills. Lee received 15 ten thousand South Korean bills. Gary received 150 thousand bills. Use disks or numbers on a place value chart to compare Lee’s and Gary’s money.

Answer:
Total money Lee received is = 15 ten thousand South Korean bills = 150,000
Total money Gary received is = 150 thousands South Korean bills = 150,000
Both Lee and Gary received  the same amount of money.

Eureka Math Grade 4 Module 1 Lesson 3 Exit Ticket Answer Key

Question 1.
In the spaces provided, write the following units in standard form. Be sure to place commas where appropriate.
a. 9 thousands 3 hundreds 4 ones _______________________________________________________
b. 6 ten thousands 2 thousands 7 hundreds 8 tens 9 ones ____________________________________
c. 1 hundred thousand 8 thousands 9 hundreds 5 tens 3 ones ________________________________
Answer:
a. 9 thousands 3 hundreds 4 ones ________9,000 + 300 +4 = 9,304.
b. 6 ten thousands 2 thousands 7 hundreds 8 tens 9 ones ____60,000 + 2,000 + 700 + 80 + 9 =62,789.
c. 1 hundred thousand 8 thousands 9 hundreds 5 tens 3 ones __100,000 + 8,000 + 900 + 50 + 3 = 108,953.

Question 2.
Use digits or disks on the place value chart to write 26 thousands 13 hundreds.

How many thousands are in the number you have written? ____________________
Answer:

Eureka Math Grade 4 Module 1 Lesson 3 Homework Answer Key

Question 1.
Rewrite the following numbers including commas where appropriate:
a. 4321 ________________________
Answer:
4,321
b. 54321 _______________________
Answer:
54,321
c. 224466 ________________________
Answer:
224,466
d. 2224466 _______________________
Answer:
2,224,466
e. 10010011001 __________________________
Answer:
10,010,011,001

Question 2.
Solve each expression. Record your answer in standard form.

Answer:

Question 3.
Represent each addend with place value disks in the place value chart. Show the composition of larger units from 10 smaller units. Write the sum in standard form.
a. 2 thousands + 12 hundreds = ______________________________________

Answer:

b. 14 ten thousands + 12 thousands = ______________________________________

Answer:

Question 4.
Use digits or disks on the place value chart to represent the following equations. Write the product in standard form.
a. 10 × 5 thousands = _____________________________________
How many thousands are in the answer? ___________________

Answer:

b. (4 ten thousands 4 thousands) × 10 = _____________________________
How many thousands are in the answer? __________________________

Answer:

How many thousands are in the answer? _____440_____________________
c. (27 thousands 3 hundreds 5 ones) × 10 = __________________________
How many thousands are in your answer? _________________________

Answer:

Question 5.
A large grocery store received an order of 2 thousand apples. A neighboring school received an order of 20 boxes of apples with 100 apples in each. Use disks or disks on a place value chart to compare the number of apples received by the school and the number of apples received by the grocery store.
Answer:
An order of apples received by a large grocery store is 2 thousand
A neighboring school received an order of 20 boxes of apples with 100 apples each= 20 × 100 = 2,000
Both the school and the grocery store received same number of apples.

Eureka Math Grade 4 Module 1 Answer Key

Engage NY Eureka Math 4th Grade Module 1 Lesson 2 Answer Key

Eureka Math Grade 4 Module 1 Lesson 2 Problem Set Answer Key

Question 1.
As you did during the lesson, label and represent the product or quotient by drawing disks on the place value chart.
a. 10 × 2 thousands = _________ thousands = ______________________________

Answer:

b. 10 × 3 ten thousands = _________ ten thousands = ______________________________

Answer:

c. 4 thousands ÷ 10 = __________ hundreds ÷ 10 = _____________________________

Answer:

Question 2.
Solve for each expression by writing the solution in unit form and in standard form.

Answer:

Question 3.
Solve for each expression by writing the solution in unit form and in standard form.

Answer:

Question 4.
Explain how you solved 10 × 4 thousands. Use a place value chart to support your explanation.
Answer:
10 × 4 thousands = 4 ten thousands

Explanation:
When multiplying with 10 the number moves right side on the place value chat.
10 times of 4 thousands is 40 thousand = 4 ten thousands.

Question 5.
Explain how you solved (4 ten thousands 3 tens) ÷ 10. Use a place value chart to support your explanation.
Answer:
(4 ten thousands 3 tens) ÷ 10
4 thousands 3 ones

Explanation:
when Dividing with 10 the number value moves towards the left side in the place value chart.
4 ten thousands 3 tens ÷ 10 = 4 thousands 3 ones = 4003.

Question 6.
Jacob saved 2 thousand dollar bills, 4 hundred dollar bills, and 6 ten dollar bills to buy a car. The car costs 10 times as much as he has saved. How much does the car cost?
Answer:
Total money saved by Jacob to buy a car is = 2 thousand 4 hundred 6 ten dollar
The cost of the car is 10 times as much as he saved =
2 thousand 4 hundred 6 ten dollar × 10 = 2 ten thousand 4 thousand 6 hundred
= 24,600 dollars.
The total cost of the car = $24600.

Question 7.
Last year the apple orchard experienced a drought and did not produce many apples. But this year, the apple orchard produced 45 thousand Granny Smith apples and 9 hundred Red Delicious apples, which is 10 times as many apples as last year. How many apples did the orchard produce last year?
Answer:
This year
Number of apple orchard produced are = 45 thousand Granny smith apples and 9 hundred Red Delicious apples.
This year production is 10 times as many apples as last year.
Number of apples produced Last year are = this year production ÷ 10
= 45 thousand 9 hundred ÷ 10
= 45 hundred 9 ten
= 4590 apples.
Last year production by apple orchard are 4590 apples.

Question 8.
Planet Ruba has a population of 1 million aliens. Planet Zamba has 1 hundred thousand aliens.
a. How many more aliens does Planet Ruba have than Planet Zamba?
b. Write a sentence to compare the populations for each planet using the words 10 times as many.
Answer:
Total population of aliens on Planet Ruba = 1 million =1,000,000 = 10 lakhs
Total population of aliens on Planet Zamba = 1 hundred thousand = 100,000= 1 lakh
a: difference of population of aliens does Planet Ruba have than Planet Zamba =
10,00,000 – 1,00,000 = 9,00,000 = 9 lakhs.
9 lakhs many more aliens does Planet Ruba have than Planet Zamba.
b:
Aliens population on Planet Ruba is 10 times more than planet Zamba = 100,000 × 10
Aliens population on Planet Zamba is 10 times less than Planet Ruba = 10,00,000 ÷ 10

Eureka Math Grade 4 Module 1 Lesson 2 Exit Ticket Answer Key

Question 1.
Fill in the blank to make a true number sentence. Use standard form.
a. (4 ten thousands 6 hundreds) × 10 = ________________________
b. (8 thousands 2 tens) ÷ 10 = _________________________
Answer:
a. (4 ten thousands 6 hundreds) × 10 = __4 lakhs 6 thousand = 4,06,000_
b. (8 thousands 2 tens) ÷ 10 = ___8 hundreds 2 ones__= __802__________________

Question 2.
The Carson family saved up $39,580 for a new home. The cost of their dream home is 10 times as much as they have saved. How much does their dream home cost?
Answer:
Total money saved by the Carson family for a new home = $39,580.
$39,580 = 3 ten thousand 9 thousand 5 hundred 8 tens
The cost of their dream home is 10 times as much as they saved = $39,580 × 10
= $3,95,800= 3 lakh 9 ten thousand 5 thousand 8 hundred.
The cost of their dream home is $3,95,800= 3 lakh 9 ten thousand 5 thousand 8 hundred.

Eureka Math Grade 4 Module 1 Lesson 2 Homework Answer Key

Question 1.
As you did during the lesson, label and represent the product or quotient by drawing disks on the place value chart.
a. 10 × 4 thousands = _________ thousands = ______________________________

Answer:

b. 4 thousands ÷ 10 = __________ hundreds ÷ 10 = _____________________________

Answer:

Question 2.
Solve for each expression by writing the solution in unit form and in standard form.

Answer:

Question 3.
Solve for each expression by writing the solution in unit form and in standard form.

Answer:

Question 4.
a. Emily collected $950 selling Girl Scout cookies all day Saturday. Emily’s troop collected 10 times as much as she did. How much money did Emily’s troop raise?
b. On Saturday, Emily made 10 times as much as on Monday. How much money did Emily collect on Monday?
Answer:
a:
Total money collected by Emily by selling Scout cookies =$950.
But
Emily’s troop collects 10 times as much as Emily did = 10 × $950
Total money raised by Emily’s troop = 10 × $950 = $9,500. = 9 thousand 5 hundred dollars.
b.
Money collected  by Emily on Saturday = $950
On Saturday, Emily made 10 times as much as on Monday
On Monday  the money collected by Emily =$950 ÷ 10
= 9 hundred 5 tens ÷ 10
= 9 tens 5 ones
=$95.
Money collected by Emily on Monday is $95.

Eureka Math Grade 4 Module 1 Answer Key

Engage NY Eureka Math 3rd Grade Module 2 Lesson 15 Answer Key

Eureka Math Grade 3 Module 2 Lesson 15 Problem Set Answer Key

Question 1.
Find the sums below. Choose mental math or the algorithm.
a. 46 mL + 5 mL

Answer:
46 mL + 5 mL=51ml

Explanation:
46ml+4ml+1ml                      5ml
=50ml+1ml                              /\
=50ml                                     4   1
46 mL + 5 mL=51ml

b. 46 mL + 25 mL

Answer:
46 mL + 25 mL=71ml

Explanation:
46ml+5ml+20ml               25ml
=51ml+20ml                      /\
=71ml                               5  20
46 mL + 25 mL=71ml

c. 46 mL + 125 mL

Answer:
46ml+125ml=171ml

Explanation:
46ml+25ml+100ml                     125ml
=71ml+100ml                                /\
=171ml                                      25     100
46 mL + 125 mL=171ml

d. 59 cm + 30 cm

Answer:
59cm+30cm=89cm

Explanation:
59cm+30cm=89cm

e. 509 cm + 83 cm

Answer:
509cm+83cm=592cm

Explanation:
509cm+1cm+82cm              83cm
=510cm+82cm                       /\
=592cm                                1    82
509cm+83cm=592cm

f. 597 cm + 30 cm

Answer:
597 cm + 30 cm=627cm

Explanation:
597cm+3cm+27cm                   30cm
=600cm+2cm                              /\
=627cm                                    3     27
597 cm + 30 cm=627cm

g. 29 g + 63 g

Answer:
29g+63g=92g

Explanation:
29g+1g+62g                 63g
=30g+62g                       /\
=92g                            1      62
29g+63g=92g

h. 345 g + 294 g

Answer:
345g+294g=639g

i. 480 g + 476 g

Answer:
480 g + 476 g=956g

j. 1 L 245 mL + 2 L 412 mL

Answer:
1 L 245 mL + 2 L 412 mL=3L 657mL

Explanation:
1L+2L=3L
245ml+412ml

245ml+412ml=657ml
1 L 245 mL + 2 L 412 mL=3L 657mL

k. 2 kg 509 g + 3 kg 367 g

Answer:
2 kg 509 g + 3 kg 367 g=5 kg 876g

Explanation:
2 kg+3 kg=5kg
509g+367g=509g+1g+366g           367g
=510g+366g                                      /\
=876g                                              1     366
2 kg 509 g + 3 kg 367 g=5 kg 876g

Question 2.
Nadine and Jen buy a small bag of popcorn and a pretzel at the movie theater. The pretzel weighs 63 grams more than the popcorn. What is the weight of the pretzel?

Answer:
The pretzel weighs 107 grams

Explanation:

Nadine and Jen buy a small bag of popcorn and a pretzel at the movie theater. The pretzel weighs 63 grams more than the popcorn
44+63=107
Therefore, the pretzel weighs 107 grams

Question 3.
In math class, Jason and Andrea find the total liquid volume of water in their beakers. Jason says the total is 782 milliliters, but Andrea says it is 792 milliliters. The amount of water in each beaker can be found in the table to the right. Show whose calculation is correct. Explain the mistake of the other student.

Answer:
The total liquid volume of water in Jason’s and Andrea’s beakers is 792mL

Explanation:
Andrea is correct.Jason forgot to rename some ones as tens.Or he forgot to add the ten he renamed to the 7tens and 1ten that were already there.

Question 4.
It takes Greg 15 minutes to mow the front lawn. It takes him 17 more minutes to mow the back lawn than the front lawn. What is the total amount of time Greg spends mowing the lawns?

Answer:
The total amount of time Greg spends mowing the lawns is 47min

Eureka Math Grade 3 Module 2 Lesson 15 Exit Ticket Answer Key

Question 1.
Find the sums below. Choose mental math or the algorithm.
a. 24 cm + 36 cm

Answer:
24cm+36cm=60cm

Explanation:
24cm+6cm+30cm                36cm
=30cm+30cm                          /\
=60cm                                  6      30
24cm+36cm=60cm

b. 562 m + 180 m

Answer:
562m+180m=742m

c. 345 km + 239 km

Answer:
345km+239km=584km

Question 2.
Brianna jogs 15 minutes more on Sunday than Saturday. She jogged 26 minutes on Saturday.
a. How many minutes does she jog on Sunday?

Answer:
Barianna jogs on Sunday for 41 minutes

Explanation:
Brianna jogs 15 minutes more on Sunday than Saturday.She jogged 26 minutes on Saturday
Add 15min+26min to find the time he jogs on sunday
=15min+5min+21min                   26min
=20min+21min                                   /\
=41min                                            5      21
15min+26min=41min
Barianna jogs on Sunday for 41 minutes

b. How many minutes does she jog in total?

Answer:
67 minutes

Explanation:
Barianna jogs on Sunday for 41 minutes, She jogged 26 minutes on Saturday.
Add 41min+26min
=40min+1min+26min             41min
=40min+27min                             /\
=47min                                      40     1
41min+26min=47min
Barianna jogs for 47min in total.

Eureka Math Grade 3 Module 2 Lesson 15 Homework Answer Key

Question 1.
Find the sums below. Choose mental math or the algorithm.
a. 75 cm + 7 cm

Answer:
75cm+7cm=82cm

Explanation:
75cm+7cm                           7cm
=75cm+5cm+2cm                 /\
=80cm+2cm                       5      2
82cm
75cm+7cm=82cm

b. 39 kg + 56 kg

Answer:
39kg+56kg=95kg

Explanation:
39kg+56kg                      56kg
=39kg+1kg+55kg              /\
=40kg+55kg                   1       55
=95kg
39kg+56kg=95kg

c. 362 mL + 229 mL

Answer:
362ml+229ml=591ml

d. 283 g + 92 g

Answer:
283g+92g=375g

e. 451 mL + 339 mL

Answer:
451ml+339ml=790ml

f. 149 L + 331 L

Answer:
149L+331L=480L

Question 2.
The liquid volume of five drinks is shown below.

a. Jen drinks the apple juice and the water. How many milliliters does she drink in all?
Jen drinks ________ mL.

Answer:
Jen drinks 373 mL.

b. Kevin drinks the milk and the fruit punch. How many milliliters does he drink in all?

Answer:
Kevin drinks 444ml

Question 3.
There are 75 students in Grade 3. There are 44 more students in Grade 4 than in Grade 3. How many students are in Grade 4?

Answer:

Explanation:
There are 75 students in Grade 3 and there are 44 ore students in grade4 than in grade3.So, add 75 and 44
75+44=119
Therefore, there are 119 students in Grade 4.

Question 4.
Mr. Green’s sunflower grew 29 centimeters in one week. The next week it grew 5 centimeters more than the previous week. What is the total number of centimeters the sunflower grew in 2 weeks?

Answer:

Explanation:
Mr. Green’s sunflower grew 29 centimeters in one week. The next week it grew 5 centimeters more than 1st week.
29+5=34cm
It grew 34cm in second week
Both 2 weeks
29 centimeters in one week and 34 centimeters in second week
29+34=63centimeter.
63 is the total number of centimeters the sunflower grew in 2 weeks

Question 5.
Kylie records the weights of 3 objects as shown below. Which 2 objects can she put on a pan balance to equal the weight of a 460 gram bag? Show how you know.

Answer:
The 2 objects can she put on a pan balance to equal the weight of a 460 gram bag are Paperback Book and Bar of Soap.

Explanation:

Total weight of Paperback Book and banana is 343+108= 451gram
Total weight of Paperback Book and Bar of Soap is 343+117=460grams.

Eureka Math Grade 3 Module 2 Answer Key

Engage NY Eureka Math 3rd Grade Module 2 Lesson 14 Answer Key

Eureka Math Grade 3 Module 2 Lesson 14 Sprint Answer Key

A
Find the Halfway Point

Question 1.
0 __________ 10

Answer:
0    5    10

Question 2.
10 __________ 20

Answer:
10   15   20

Question 3.
20 __________ 30

Answer:
20   25   30

Question 4.
70 __________ 80

Answer:
70   75   80

Question 5.
80 __________ 70

Answer:
80   75   70

Question 6.
40 __________ 50

Answer:
40   45   50

Question 7.
50 __________ 40

Answer:
50    45   40

Question 8.
30 __________ 40

Answer:
30   35   40

Question 9.
40 __________ 30

Answer:
40   35   30

Question 10.
70 __________ 60

Answer:
70   65   60

Question 11.
60 __________ 70

Answer:
60   65   70

Question 12.
80 __________ 90

Answer:
80   85   90

Question 13.
90 __________ 100

Answer:
90   95   100

Question 14.
100 __________ 90

Answer:
100   95   90

Question 15.
90 __________ 80

Answer:
90   85   80

Question 16.
50 __________ 60

Answer:
50   55   60

Question 17.
150 __________ 160

Answer:
150   155   160

Question 18.
250 __________ 260

Answer:
250   255   260

Question 19.
750 __________ 760

Answer:
750   755   760

Question 20.
760 __________ 750

Answer:
760   755   750

Question 21.
80 __________ 90

Answer:
80   85   90

Question 22.
180 __________ 190

Answer:
180   185   190

Question 23.
280 __________ 290

Answer:
280    285   290

Question 24.
580 __________ 590

Answer:
580   585   590

Question 25.
590 __________ 580

Answer:
590   585   850

Question 26.
30 __________ 40

Answer:
30   35   40

Question 27.
930 __________ 940

Answer:
930   935   940

Question 28.
70 __________ 60

Answer:
70   65   60

Question 29.
470 __________ 460

Answer:
470   465   460

Question 30.
90 __________ 100

Answer:
90   95   100

Question 31.
890 __________ 900

Answer:
890   895   900

Question 32.
990 __________ 1,000

Answer:
990   995   1000

Question 33.
1,000 __________ 1,010

Answer:
1000    1005    1010

Question 34.
70 __________ 80

Answer:
70   75   80

Question 35.
1,070 __________ 1,080

Answer:
1070    1075    1080

Question 36.
1,570 __________ 1,580

Answer:
1570     1575    1580

Question 37.
480 __________ 490

Answer:
480    485    490

Question 38.
1,480 __________ 1,490

Answer:
1480     1485     1490

Question 39.
1,080 __________ 1,090

Answer:
1080     1085    1090

Question 40.
360 __________ 350

Answer:
360    355    350

Question 41.
1,790 __________ 1,780

Answer:
1790    1785    1780

Question 42.
400 __________ 390

Answer:
400    395   390

Question 43.
1,840 __________ 1,830

Answer:
1840    1835    1830

Question 44.
1,110 __________ 1,100

Answer:
1110     1105     1100

B
Find the Halfway Point

Question 1.
10 __________ 20

Answer:
10   15   20

Question 2.
20 __________ 30

Answer:
20   25   30

Question 3.
30 __________ 40

Answer:
30   35  40

Question 4.
60 __________ 70

Answer:
60   65   70

Question 5.
70 __________ 60

Answer:
70   65   60

Question 6.
50 __________ 60

Answer:
50   55   60

Question 7.
60 __________ 50

Answer:
60   55   50

Question 8.
40 __________ 50

Answer:
40   45   50

Question 9.
50 __________ 40

Answer:
50   45   40

Question 10.
80 __________ 70

Answer:
80   75   75

Question 11.
70 __________ 80

Answer:
70   75   80

Question 12.
80 __________ 90

Answer:
80   85   90

Question 13.
90 __________ 100

Answer:
90   95   100

Question 14.
100 __________ 90

Answer:
100   95   90

Question 15.
90 __________ 80

Answer:
90   85   80

Question 16.
60 __________ 70

Answer:
60   65   70

Question 17.
160 __________ 170

Answer:
160   165   170

Question 18.
260 __________ 270

Answer:
260   265   270

Question 19.
560 __________ 570

Answer:
560   565   570

Question 20.
570 __________ 560

Answer:
570   565    560

Question 21.
70 __________ 80

Answer:
70   75   80

Question 22.
170 __________ 180

Answer:
170   175   180

Question 23.
270 __________ 280

Answer:
270     275    280

Question 24.
670 __________ 680

Answer:
675   675   680

Question 25.
680 __________ 670

Answer:
680   675   670

Question 26.
20 __________ 30

Answer:
20    25    30

Question 27.
920 __________ 930

Answer:
920   925   930

Question 28.
60 __________ 50

Answer:
60   55   50

Question 29.
460 __________ 450

Answer:
460    455   450

Question 30.
90 __________ 100

Answer:
90    95   100

Question 31.
890 __________ 900

Answer:
890    895   900

Question 32.
990 __________ 1,000

Answer:
990    995    1000

Question 33.
1,000 __________ 1,010

Answer:
1000     1005   1010

Question 34.
20 __________ 30

Answer:
20    25    30

Question 35.
1,020 __________ 1,030

Answer:
1020     1025    1030

Question 36.
1,520 __________ 1,530

Answer:
1520    1525    1530

Question 37.
380 __________ 390

Answer:
380    385    390

Question 38.
1,380 __________ 1,390

Answer:
1380    1385   1390

Question 39.
1,080 __________ 1,090

Answer:
1080    1085    1090

Question 40.
760 __________ 750

Answer:
760   755   750

Question 41.
1,690 __________ 1,680

Answer:
1690   1685   1680

Question 42.
300 __________ 290

Answer:
300    295    290

Question 43.
1,850 __________ 1,840

Answer:
1850     1845    1840

Question 44.
1,220 __________ 1,210

Answer:
1220     1215    1210

Eureka Math Grade 3 Module 2 Lesson 14 Problem Set Answer Key

Question 1.
Round to the nearest hundred. Use the number line to model your thinking.
a. 143 ≈ __________

Answer:
143 ≈ 100

Explanation:
As shown in the above picture 143 is rounded of to nearest hundreds 100.

b. 286 ≈ __________

Answer:
286 ≈ 300

Explanation:
As shown in the above picture 286 is rounded of to nearest hundreds 300.

c. 320 ≈ __________

Answer:
320 ≈ 300

Explanation:
As shown in the above picture 320 is rounded of to nearest hundreds 300.

d. 1,320 ≈ __________

Answer:
1,320 ≈ 1300

Explanation:
As shown in the above picture 1320 is rounded of to nearest hundreds 1300.

e. 1,572 ≈ __________

Answer:
1,572 ≈ 1600

Explanation:
As shown in the above picture 1572 is rounded of to nearest hundreds 1600.

f. 1,250 ≈ __________

Answer:
1,250 ≈ 1300

Explanation:
As shown in the above picture 1250 is rounded of to nearest hundreds 1300.

Question 2.
Complete the chart.

Answer:

Question 3.
Circle the numbers that round to 600 when rounding to the nearest hundred.

Answer:

Question 4.
The teacher asks students to round 1,865 to the nearest hundred. Christian says that it is one thousand, nine hundred. Alexis disagrees and says it is 19 hundreds. Who is correct? Explain your thinking.

Answer:

Explanation:
As shown in the above picture 1865 is rounded of to nearest hundreds 1900.When the teacher asks students to round 1,865 to the nearest hundred.Christian says that it is one thousand, nine hundred. Alexis disagrees and says it is 19 hundreds.Both are correct because 1900 can be said as one thousand, nine hundred and 19 hundreds.

Eureka Math Grade 3 Module 2 Lesson 14 Exit Ticket Answer Key

Question 1.
Round to the nearest hundred. Use the number line to model your thinking.
a. 137 ≈ __________

Answer:
137 ≈ 100

Explanation:
As shown in the above picture 137 is rounded of to nearest hundreds 100.

b. 1,761 ≈ _________

Answer:
1,761 ≈ 1800

Explanation:
As shown in the above picture 1761 is rounded of to nearest hundreds 1800.

Question 2.
There are 685 people at the basketball game. Draw a vertical number line to round the number of people to the nearest hundred people.

Answer:

685 ≈ 700

Explanation:
As shown in the above picture 685 is rounded of to nearest hundreds 700.

Eureka Math Grade 3 Module 2 Lesson 14 Homework Answer Key

Question 1.
Round to the nearest hundred. Use the number line to model your thinking.
a. 156 ≈ __________

Answer:
156 ≈ 200

Explanation:
As shown in the above picture 156 is rounded of to nearest hundreds 200.

b. 342 ≈ __________

Answer:
342 ≈ 300

Explanation:
As shown in the above picture 300 is rounded of to nearest hundreds 300.

c. 260 ≈ __________

Answer:
260 ≈ 300

Explanation:
As shown in the above picture 260 is rounded of to nearest hundreds 300.

d. 1,260 ≈ __________

Answer:
1260 ≈ 1300

Explanation:
As shown in the above picture 1260 is rounded of to nearest hundreds 1300.

e. 1,685 ≈ __________

Answer:
1,685 ≈ 1700

Explanation:
As shown in the above picture 1685 is rounded of to nearest hundreds 1700.

f. 1,804 ≈ __________

Answer:
1,804 ≈ 1800

Explanation:
As shown in the above picture 1804 is rounded of to nearest hundreds 1800.

Question 2.
Complete the chart.

Answer:

Question 3.
Circle the numbers that round to 400 when rounding to the nearest hundred.

Answer:

Question 4.
There are 1,525 pages in a book. Julia and Kim round the number of pages to the nearest hundred. Julia says it is one thousand, five hundred. Kim says it is 15 hundreds. Who is correct? Explain your thinking

Answer:

Explanation:
As shown in the above picture 1525 is rounded of to nearest hundreds 1500. Julia and Kim round the number of pages to the nearest hundred. Julia says it is one thousand, five hundred. Kim says it is 15 hundreds.Boyh are correct because 1500 can be called as one thousand, five hundred and 15 hundreds.

Eureka Math Grade 3 Module 2 Answer Key

Engage NY Eureka Math 3rd Grade Module 2 Lesson 13 Answer Key

Eureka Math Grade 3 Module 2 Lesson 13 Problem Set Answer Key

Question 1.
Round to the nearest ten. Use the number line to model your thinking.
a. 32 ≈ __________

Answer:
32 ≈ 30

Explanation:
As shown in the above picture 32 is near to the tens 30.

b. 36 ≈ __________

Answer:

36 ≈40

Explanation:
As shown in the above picture 36 is near to the tens 40

c. 62 ≈ __________

Answer:

Explanation:
As shown in the above picture 62 is near to the tens 60

d. 162 ≈ __________

Answer:

Explanation:
As shown in the above picture 162 is near to the tens 160

e. 278 ≈ __________

Answer:

Explanation:
As shown in the above picture 278 is near to the tens 280

f. 405 ≈ __________

Answer:

Explanation:
As shown in the above picture 410 is near to the tens 405

Question 2.
Round the weight of each item to the nearest 10 grams. Draw number lines to model your thinking.

Answer:

Question 3.
Carl’s basketball game begins at 3:03 p.m. and ends at 3:51 p.m.
a. How many minutes did Carl’s basketball game last?

Answer:

Explanation:
Carl’s basketball game lasts for 48minutes.

b. Round the total number of minutes in the game to the nearest 10 minutes.

Answer:

Explanation:
As shown in the above picture 48 is near to the tens 50

Eureka Math Grade 3 Module 2 Lesson 13 Exit Ticket Answer Key

Question 1.
Round to the nearest ten. Use the number line to model your thinking.
a. 26 ≈ _________

Answer:

Explanation:
As shown in the above picture 26 is near to the tens 30

b. 276 ≈ __________

Answer:

Explanation:
As shown in the above picture 276 is near to the tens 280

Question 2.
Bobby rounds 603 to the nearest ten. He says it is 610. Is he correct? Why or why not? Use a number line and words to explain your answer.

Answer:
No

Explanation:
Bobby is not correct.603 should be rounded to the nearest ten 600.

Eureka Math Grade 3 Module 2 Lesson 13 Homework Answer Key

Question 1.
Round to the nearest ten. Use the number line to model your thinking.
a. 43 ≈ ________

Answer:
As shown in the above picture 43 is near to the tens 40

b. 48 ≈ ________

Answer:

Explanation:
As shown in the above picture 48 is near to the tens 50

c. 73 ≈ ________

Answer:

Explanation:
As shown in the above picture 73 is near to the tens 70

d. 173 ≈ ________

Answer:

Explanation:
As shown in the above picture 173 is near to the tens 170

e. 189 ≈ ________

Answer:

Explanation:
As shown in the above picture 189 is near to the tens 190

f. 194 ≈ ________

Answer:

Explanation:
As shown in the above picture 194 is near to the tens 190

Question 2.
Round the weight of each item to the nearest 10 grams. Draw number lines to model your thinking.

Answer:

Question 3.
The Garden Club plants rows of carrots in the garden. One seed packet weighs 28 grams. Round the total weight of 2 seed packets to the nearest 10 grams. Model your thinking using a number line.

Answer:
60

Explanation:

One seed packet weighs 28 grams.The total weight of 2 seed packets is 28+28=56
As shown in the above picture 56 is near to the tens 60

Eureka Math Grade 3 Module 2 Answer Key

Engage NY Eureka Math 3rd Grade Module 2 Lesson 12 Answer Key

Eureka Math Grade 3 Module 2 Lesson 12 Problem Set Answer Key

Question 1.
Work with a partner. Use a ruler or a meter stick to complete the chart below.

Answer:

Question 2.
Work with a partner. Use a digital scale to complete the chart below.

Answer:

Question 3.
Work with a partner. Use a beaker to complete the chart below.

Answer:

Question 4.
Work with a partner. Use a clock to complete the chart below.

Answer:

Eureka Math Grade 3 Module 2 Lesson 12 Exit Ticket Answer Key

The weight of a golf ball is shown below.

Answer:

a. The golf ball weighs _________________.

Answer:
The golf ball weighs 46grams

b. Round the weight of the golf ball to the nearest ten grams. Model your thinking on the number line.

Answer:
The weight 46g is between 40g and 50g
The nearest tens is 50g
Label the numberline and mark on the number 50.

c. The golf ball weighs about _________________.

Answer:
The golf ball weighs about 50g

d. Explain how you used the halfway point on the number line to round to the nearest ten grams.

Answer:
I used the half point as 45g and rounded of it to the nearest tens.As the weight of golfball is 46g it is near to 50g.

Eureka Math Grade 3 Module 2 Lesson 12 Homework Answer Key

Question 1.
Complete the chart. Choose objects, and use a ruler or meter stick to complete the last two on your own.

Answer:

Question 2.
Gym class ends at 10:27 a.m. Round the time to the nearest 10 minutes.

Gym class ends at about ______ a.m.

Answer:
Gym class ends at about 10:30 a.m

Explanation:
The Gym class ends at 10:27am
10:27 is between 10:20 and 10:30am
The nearest tens is 10:30am
Therefore, Gym class ends at about 10:30 a.m

Question 3.
Measure the liquid in the beaker to the nearest 10 milliliters.

There are about _________ milliliters in the beaker.

Answer:
The liquid in the beaker is between 20ml and 30ml
As the liquid is near to 20ml
So, There are about 20milliliters in the beaker.

Question 4.
Mrs. Santos’ weight is shown on the scale. Round her weight to the nearest 10 kilograms.

Mrs. Santos’ weight is _________ kilograms.
Mrs. Santos weighs about _________ kilograms.

Answer:
Mrs. Santos’ weight is 53 kilograms.

Mrs. Santos weighs about 50 kilograms

Explanation:
As shown n the picture Mrs.Santos weighs 53 kg
53 is between 50 and 60kg
If we round of 53 to the nearest 10kg, the weight of Mrs.Santos wiil be about 50kg.

Question 5.
A zookeeper weighs a chimp. Round the chimp’s weight to the nearest 10 kilograms.

The chimp’s weight is ________ kilograms.
The chimp weighs about __________ kilograms.

Answer:
The chimp’s weight is 58 kilograms.
The chimp weighs about 60 kilograms.

Explanation:
As shown in the above picture the weight of the chimp is 58kilograms
The weight of the chimp is 58 is between 50kg and 60kg
If we round of to the nearest tens the weight of the chimp is 60kilograms.

Eureka Math Grade 3 Module 2 Answer Key

Engage NY Eureka Math 3rd Grade Module 2 Lesson 11 Answer Key

Eureka Math Grade 3 Module 2 Lesson 11 Problem Set Answer Key

Question 1.
The total weight in grams of a can of tomatoes and a jar of baby food is shown to the right.
a. The jar of baby food weighs 113 grams. How much does the can of tomatoes weigh?

Answer:

Explanation:
The total weight in grams of a can of tomatoes and a jar of baby food is 671g and 113g.To find the weight of the can of tomatoes, subtract 113 from 671.
671-113=558g.
The weight of the can of tomatoes is 558g.

b. How much more does the can of tomatoes weigh than the jar of baby food?

Answer:

Explanation:
The weight of the can of tomatoes is 558g.
A jar of baby food is 113g
So, subtract 113 from 558
558-113=445
Therefore, 445g more does can of tomatoes weigh than the jar of baby food.

Question 2.
The weight of a pen in grams is shown to the right.
a. What is the total weight of 10 pens?

Answer:
As shown in the picture the weight of pen is 6g.
If 1 pen is 6 grams then the weight of 10 pens is 6 x 10=60g
Therefore the total weight of 10 pens is 60grams.

b. An empty box weighs 82 grams. What is the total weight of a box of 10 pens?

Answer:

Explanation:
As we know from the above sum the weight of 10 pens is 60g and an empty box weighs 82 grams then the total weight will be 60+82=142grams.

Question 3.
The total weight of an apple, lemon, and banana in grams is shown to the right.
a. If the apple and lemon together weigh 317 grams, what is the weight of the banana?

Answer:

Explanation:
The total weight of an apple, lemon, and banana in grams is 508g and the apple and lemon together weigh 317 grams.
The weight of the banana is 508-317g=191g
Therefore, the weight of the banana is 191grams.

b. If we know the lemon weighs 68 grams less than the banana, how much does the lemon weigh?

Answer:

Explanation:
The weight of the banana is 191grams
If we know the lemon weighs 68 grams less than the banana, then the weight of lemon will be 191-68=123g
Therefore, the lemon weighs 123g.

c. What is the weight of the apple?

Answer:

Explanation:
If the apple and lemon together weigh 317 grams, the lemon weighs 123g then the weight of only apple will be 317-123=194g
Therefore, the weight of the apple is 194grams.

Question 4.
A frozen turkey weighs about 5 kilograms. The chef orders 45 kilograms of turkey. Use a tape diagram to find about how many frozen turkeys he orders.

Answer:

Explanation:
A frozen turkey weighs about 5 kilograms, the chef orders 45 kilograms of turkey.
If each turkey weighs 5 grams then divide 45 by 5.
45/5=9
Therefore, 9 frozen turkeys the chef orders.

Question 5.
A recipe requires 300 milliliters of milk. Sara decides to triple the recipe for dinner. How many milliliters of milk does she need to cook dinner?

Answer:

Explanation:
A recipe requires 300 milliliters of milk.If Sara decides to triple the recipe for dinner add 300ml+300ml+300ml=900ml
Therefore, 900milliliters of milk does she need to cook dinner.

Question 6.
Marian pours a full container of water equally into buckets. Each bucket has a capacity of 4 liters. After filling 3 buckets, she still has 2 liters left in her container. What is the capacity of her container?

Answer:

Explanation:
Marian pours a full container of water equally into buckets.If each bucket has a capacity of 4 liters and  after filling 3 buckets, if she still has 2 liters left in her container then multiply 4L with 3 buckets
4 x 3=12.
Then add the 2L of water left to 12L
12+2=14L
Therefore, the capacity of her container is 14Liters.

Eureka Math Grade 3 Module 2 Lesson 11 Exit Ticket Answer Key

The capacities of three cups are shown below.

a. Find the total capacity of the three cups.

Answer:

Explanation:
The capacities of three cups are  Cup A 160ml, Cup B 280ml and Cup C 237ml
To find the total capacity of the three cups add 160+280+237=677ml
Therefore, the total capacity of the three cups is 677ml.

b. Bill drinks exactly half of Cup B. How many milliliters are left in Cup B?

Answer:
The capacity of Cup B is 280ml, if Bill drinks exactly half of Cup B then the drink left in the cup is half.
280/2=140
Therefore, 140 milliliters are left in Cup B.

c. Anna drinks 3 cups of tea from Cup A. How much tea does she drink in total?

Answer:

Explanation:
Anna drinks 3 cups of tea from Cup A.
Add 160+160+160=480ml
Therefore, 480ml of tea Anna  drinks in total.

Eureka Math Grade 3 Module 2 Lesson 11 Homework Answer Key

Question 1.
Karina goes on a hike. She brings a notebook, a pencil, and a camera. The weight of each item is shown in the chart. What is the total weight of all three items?

The total weight is __________ grams.

Answer:

Explanation:
Karina goes on a hike. She brings a notebook, a pencil, and a camera.
The weight of notebook is 312g, pencil is 10g and camera is 365g.
Add 312+10+365=687g
Therefore, the total weight of all three items is 687grams.

Question 2.
Together a horse and its rider weigh 729 kilograms. The horse weighs 625 kilograms. How much does the rider weigh?
The rider weighs __________ kilograms.

Answer:

Explanation:
Together a horse and its rider weigh 729 kilograms. The horse weighs 625 kilograms.
Subtract the weight of horse from the total to find the weight of the rider
729-625=104
Therefore, The rider weighs 104 kilograms

Question 3.
Theresa’s soccer team fills up 6 water coolers before the game. Each water cooler holds 9 liters of water. How many liters of water do they fill?

Answer:

Explanation:
Theresa’s soccer team fills up 6 water coolers before the game. Each water cooler holds 9 liters of water
If each cooler holds 9L and soccer team fills 6 colers, to find the total number of liters of water the filled,
multiply 9 by 6=9 x 6=54
Therefore, liters of water they filled is 54.

Question 4.
Dwight purchased 48 kilograms of fertilizer for his vegetable garden. He needs 6 kilograms of fertilizer for each bed of vegetables. How many beds of vegetables can he fertilize?

Answer:

Explanation:
Dwight purchased 48 kilograms of fertilizer for his vegetable garden.
If he needs 6 kilograms of fertilizer for each bed of vegetables,
To find the number beds of vegetables he can fertilize divide 48 by 6
48/6=8
Therefore, 8 beds of vegetables he can fertilize.

Question 5.
Nancy bakes 7 cakes for the school bake sale. Each cake requires 5 milliliters of oil. How many milliliters of oil does she use?

Answer:

Explanation:
Nancy bakes 7 cakes for the school bake sale. Each cake requires 5 milliliters of oil
To find the number of milliliters of oil she used multiply 7 with 5
7 x 5 =35
Therefore, 35milliliters of oil  she used to bake 7 cakes.

Eureka Math Grade 3 Module 2 Answer Key

Engage NY Eureka Math 3rd Grade Module 2 Lesson 10 Answer Key

Eureka Math Grade 3 Module 2 Lesson 10 Problem Set Answer Key

Question 1.
Label the vertical number line on the container to the right. Answer the questions below.
a. What did you label as the halfway mark? Why?

Answer:
500ml is the halfway mark because i made 10 marksand 10/2=5.So, the 5th mark is the halfway mark.

b. Explain how pouring each plastic cup of water helped you create a vertical number line.

Answer:
As i poured same amount of water each time that is 100ml for ten times it helped me to create a vertical number line.

c. If you pour out 300 mL of water, how many mL are left in the container?

Answer:
700ml

Explanation:
There are total 1000ml of water in the container, if we pour out 300ml of water from the container 700ml will be left.
100-300=700ml.

Question 2.
How much liquid is in each container?

Answer:

Question 3.
Estimate the amount of liquid in each container to the nearest hundred milliliters.

Answer:

Question 4.
The chart below shows the capacity of 4 barrels.

a. Label the number line to show the capacity of each barrel. Barrel A has been done for you.
b. Which barrel has the greatest capacity?

Answer:
Barrel A

c. Which barrel has the smallest capacity?

Answer:
Barrel D

d. Ben buys a barrel that holds about 70 liters. Which barrel did he most likely buy? Explain why.

Answer:
Barrel A

Explanation:
If Ben buys a barrel that holds 70liters he need to buy most likely Barrel A because its capacity is 75 liters and only barrel A can hold 70liters compared with the other barrels.

e. Use the number line to find how many more liters Barrel C can hold than Barrel B.

Answer:
28 liters

Explanation:
Barrel C contains 96 liters and barrel B 68 liters.The difference is 96-68=28 liters.

Eureka Math Grade 3 Module 2 Lesson 10 Exit Ticket Answer Key

Question 1.
Use the number line to record the capacity of the containers.

Question 2.
What is the difference between the capacity of Container A and Container C?

Answer:
36

Explanation:
Container A has 57 liters and Container C has 21 liters.Difference between the capacity of Container A and Container C is 57-21=36 liters.

Eureka Math Grade 3 Module 2 Lesson 10 Homework Answer Key

Question 1.
How much liquid is in each container?

Answer:

Question 2.
Jon pours the contents of Container 1 and Container 3 above into an empty bucket. How much liquid is in the bucket after he pours the liquid?

Answer:
11 liters

Explanation:
Container 1 contains 5 liters and container 3 has 6 liters.If Jon pours the contents of Container 1 and Container 3 into an empty bucket it holds 5+6=11liters in it.

Question 3.
Estimate the amount of liquid in each container to the nearest liter.

Answer:

Question 4.
Kristen is comparing the capacity of gas tanks in different size cars. Use the chart below to answer the questions.

a. Label the number line to show the capacity of each gas tank. The medium car has been done for you.

b. Which car’s gas tank has the greatest capacity?

Answer:
Large car with 74liters of gas.

c. Which car’s gas tank has the smallest capacity?

Answer:
Small car with 42 liters of gas.

d. Kristen’s car has a gas tank capacity of about 60 liters. Which car from the chart has about the same capacity as Kristen’s car?

Answer:
Medium car

Explanation:
Kristen’s car has a gas tank capacity of about 60 liters.As the capacity of the medium car is 57 liters,medium car from the chart has about the same capacity as Kristen’s car.

e. Use the number line to find how many more liters the large car’s tank holds than the small car’s tank.

Answer:
32

Explanation:
The capacity of gas tank of large car is 74 an dthe small car is 42.the difference is 74-42=32.

Eureka Math Grade 3 Module 2 Answer Key

Engage NY Eureka Math 3rd Grade Module 2 Lesson 9 Answer Key

Eureka Math Grade 3 Module 2 Lesson 9 Problem Set Answer Key

Part 1
a.
Predict whether each container holds less than, more than, or about the same as 1 liter.

b. After measuring, what surprised you? Why?

Part 2

c. Illustrate and describe the process of decomposing 1 liter of water into 10 smaller units.

Answer:

Explanation:
I decomposed 1liter of water into 10 smaller units by pouring 100 milliliter of water into each cup.Then count each cup by 100ml.I found that 1000ml that is 10 groups of 100ml is equal to 1 liter.
1000ml/10=100ml.

d. Illustrate and describe the process of decomposing Cup K into 10 smaller units.

Answer:

Explanation:
I decomposed 100ml of water into 10 smaller units by pouring 10milliliter of water into each cup.Then count each cup by 10ml.I found that 100ml that is 10 groups of 10ml is equal to 100ml.
100ml/10=10ml

e. Illustrate and describe the process of decomposing Cup L into 10 smaller units.

Answer:

Explanation:
I decomposed 10ml of water into 10 smaller units by pouring 1milliliter of water into each cup.Then count each cup by 1ml.I found that 10ml that is 10 groups of 1ml is equal to 1ml.
10ml/10=1ml

f. What is the same about decomposing 1 liter into milliliters and decomposing 1 kilogram into grams?

Answer:
Decomposing of 1 liter into milliliters and decomposing 1 kilogram into grams will work same.10ml is ten 1ml, 100ml is ten 10ml and 1 liter is ten 100ml.Both kilograms and grams and liters and milliters are same.

g. One liter of water weighs 1 kilogram. How much does 1 milliliter of water weigh? Explain how you know.

Answer:
Since decomposing 1 liter into milliters is same as decomposing 1 kilogram into grams, we know that 1ml weighs same as 1 gram.

Eureka Math Grade 3 Module 2 Lesson 9 Exit Ticket Answer Key

Question 1.
Morgan fills a 1-liter jar with water from the pond. She uses a 100-milliliter cup to scoop water out of the pond and pour it into the jar. How many times will Morgan scoop water from the pond to fill the jar?

Answer:
10 times

Explanation:
Morgan fills a 1-liter jar with water from the pond. She uses a 100-milliliter cup to scoop water out of the pond and pour it into the jar
As we know 1l is ten 100ml
To find the number of times Morgan scoop water from the pond to fill the jar morgan has to pour 10 times.

Question 2.
How many groups of 10 milliliters are in 1 liter? Explain.
There are _____________ groups of 10 milliliters in 1 liter.

Answer:
There are 100 groups of 10 milliliters in 1 liter.

Explanation:
As we know 1l is equal to ten 100ml and 100ml is equal to ten 10ml.Therefore 1l is equal to hundred 10ml.
Therefore, There are 100 groups of 10 milliliters in 1 liter.

Eureka Math Grade 3 Module 2 Lesson 9 Homework Answer Key

Question 1.
Find containers at home that have a capacity of about 1 liter. Use the labels on containers to help you identify them.
a.

b. Sketch the containers. How do their sizes and shapes compare?

Question 2.
The doctor prescribes Mrs. Larson 5 milliliters of medicine each day for 3 days. How many milliliters of medicine will she take altogether?

Answer:
The doctor prescribes Mrs. Larson 5 milliliters of medicine each day for 3 days
To find the number of milliliters medicine will she take altogether multiply 5 by 3
5 x 3=15milliliters
Therefore, 15milliliters medicine will she take altogether.

Question 3.
Mrs. Goldstein pours 3 juice boxes into a bowl to make punch. Each juice box holds 236 milliliters. How much juice does Mrs. Goldstein pour into the bowl?

Answer:
Mrs. Goldstein pours 3 juice boxes into a bowl to make punch. Each juice box holds 236 milliliters.
To find the number of milliliters of juice Mrs. Goldstein pour into the bowl multiply 236 by 3
236 x 3=708
Therefore, 708milliliters of juice Mrs. Goldstein pour into the bowl.

Question 4.
Daniel’s fish tank holds 24 liters of water. He uses a 4-liter bucket to fill the tank. How many buckets of water are needed to fill the tank?

Answer:
Daniel’s fish tank holds 24 liters of water. He uses a 4-liter bucket to fill the tank
To find the number of buckets of water needed to fill the tank divide 24 with 4
24/4=6
Therefore, 6 buckets of water are needed to fill the tank.

Question 5.
Sheila buys 15 liters of paint to paint her house. She pours the paint equally into 3 buckets. How many liters of paint are in each bucket?

Answer:
Sheila buys 15 liters of paint to paint her house.She pours the paint equally into 3 buckets.
To find the number of liters of paint are in each bucket divide 15 with 3
15/3=5
Therefore, 5 liters of paint are in each bucket.

Eureka Math Grade 3 Module 2 Answer Key