## Engage NY Eureka Math 4th Grade Module 1 Lesson 10 Answer Key

### Eureka Math Grade 4 Module 1 Lesson 10 Sprint Answer Key

A

Round to the Nearest 10,000

Question 1.

21,000 ≈

Answer:

21,000 ≈ 20,000

Question 2.

31,000 ≈

Answer:

31,000 ≈ 30,000

Question 3.

41,000 ≈

Answer:

41,000 ≈ 40,000

Question 4.

541,000 ≈

Answer:

541,000 ≈ 540,000

Question 5.

49,000 ≈

Answer:

49,000 ≈ 50,000

Question 6.

59,000 ≈

Answer:

59,000 ≈ 60,000

Question 7.

69,000 ≈

Answer:

69,000 ≈ 70,000

Question 8.

369,000 ≈

Answer:

369,000 ≈ 370,000

Question 9.

62,000 ≈

Answer:

62,000 ≈ 60,000

Question 10.

712,000 ≈

Answer:

712,000 ≈ 710,000

Question 11.

28,000 ≈

Answer:

28,000 ≈ 30,000

Question 12.

37,000 ≈

Answer:

37,000 ≈ 40,000

Question 13.

137,000 ≈

Answer:

137,000 ≈ 140,000

Question 14.

44,000 ≈

Answer:

44,000 ≈ 40,000

Question 15.

56,000 ≈

Answer:

56,000 ≈ 60,000

Question 16.

456,000 ≈

Answer:

456,000 ≈ 460,000

Question 17.

15,000 ≈

Answer:

15,000 ≈ 20,000

Question 18.

25,000 ≈

Answer:

25,000 ≈ 30,000

Question 19.

35,000 ≈

Answer:

35,000 ≈ 40,000

Question 20.

235,000 ≈

Answer:

235,000 ≈ 240,000

Question 21.

75,000 ≈

Answer:

75,000 ≈ 80,000

Question 22.

175,000 ≈

Answer:

175,000 ≈ 180,000

Question 23.

185,000 ≈

Answer:

185,000 ≈ 190,000

Question 24.

85,000 ≈

Answer:

85,000 ≈ 90,000

Question 25.

95,000 ≈

Answer:

95,000 ≈ 100,000

Question 26.

97,000 ≈

Answer:

97,000 ≈ 100,000

Question 27.

98,000 ≈

Answer:

98,000 ≈ 100,000

Question 28.

198,000 ≈

Answer:

198,000 ≈ 200,000

Question 29.

798,000 ≈

Answer:

798,000 ≈ 800,000

Question 30.

31,200 ≈

Answer:

31,200 ≈ 30,000

Question 31.

49,300 ≈

Answer:

49,300 ≈ 50,000

Question 32.

649,300 ≈

Answer:

649,300 ≈ 650,000

Question 33.

64,520 ≈

Answer:

64,520 ≈ 60,000

Question 34.

164,520 ≈

Answer:

164,520 ≈ 160,000

Question 35.

17,742 ≈

Answer:

17,742 ≈ 20,000

Question 36.

917,742 ≈

Answer:

917,742 ≈ 920,000

Question 37.

38,396 ≈

Answer:

38,396 ≈ 40,000

Question 38.

64,501 ≈

Answer:

64,501 ≈ 60,000

Question 39.

703,280 ≈

Answer:

703,280 ≈ 700,000

Question 40.

239,500 ≈

Answer:

239,500 ≈ 240,000

Question 41.

708,170 ≈

Answer:

708,170 ≈ 710,000

Question 42.

188,631 ≈

Answer:

188,631 ≈ 190,000

Question 43.

777,499 ≈

Answer:

777,499 ≈ 780,000

Question 44.

444,919 ≈

Answer:

444,919 ≈ 440,000

B

Round to the Nearest 10,000

Question 1.

11,000 ≈

Answer:

11,000 ≈ 10,000

Question 2.

21,000 ≈

Answer:

21,000 ≈ 20,000

Question 3.

31,000 ≈

Answer:

31,000 ≈ 30,000

Question 4.

531,000 ≈

Answer:

531,000 ≈ 530,000

Question 5.

39,000 ≈

Answer:

39,000 ≈ 40,000

Question 6.

49,000 ≈

Answer:

49,000 ≈ 50,000

Question 7.

59,000 ≈

Answer:

59,000 ≈ 60,000

Question 8.

359,000 ≈

Answer:

359,000 ≈ 360,000

Question 9.

52,000 ≈

Answer:

52,000 ≈ 50,000

Question 10.

612,000 ≈

Answer:

612,000 ≈ 610,000

Question 11.

18,000 ≈

Answer:

18,000 ≈ 20,000

Question 12.

27,000 ≈

Answer:

27,000 ≈ 30,000

Question 13.

127,000 ≈

Answer:

127,000 ≈ 130,000

Question 14.

34,000 ≈

Answer:

34,000 ≈ 30,000

Question 15.

46,000 ≈

Answer:

46,000 ≈ 50,000

Question 16.

346,000 ≈

Answer:

346,000 ≈ 350,000

Question 17.

25,000 ≈

Answer:

25,000 ≈ 30,000

Question 18.

35,000 ≈

Answer:

35,000 ≈ 40,000

Question 19.

45,000 ≈

Answer:

45,000 ≈ 50,000

Question 20.

245,000 ≈

Answer:

245,000 ≈ 250,000

Question 21.

65,000 ≈

Answer:

65,000 ≈ 70,000

Question 22.

165,000 ≈

Answer:

165,000 ≈ 170,000

Question 23.

185,000 ≈

Answer:

185,000 ≈ 190,000

Question 24.

85,000 ≈

Answer:

85,000 ≈ 90,000

Question 25.

95,000 ≈

Answer:

95,000 ≈ 100,000

Question 26.

96,000 ≈

Answer:

96,000 ≈ 100,000

Question 27.

99,000 ≈

Answer:

99,000 ≈ 100,000

Question 28.

199,000 ≈

Answer:

199,000 ≈ 200,000

Question 29.

799,000 ≈

Answer:

799,000 ≈ 800,000

Question 30.

21,200 ≈

Answer:

21,200 ≈ 20,000

Question 31.

39,300 ≈

Answer:

39,300 ≈ 40,000

Question 32.

639,300 ≈

Answer:

639,300 ≈ 640,000

Question 33.

54,520 ≈

Answer:

54,520 ≈ 50,000

Question 34.

154,520 ≈

Answer:

154,520 ≈ 150,000

Question 35.

27,742 ≈

Answer:

27,742 ≈ 30,000

Question 36.

927,742 ≈

Answer:

927,742 ≈ 930,000

Question 37.

28,396 ≈

Answer:

28,396 ≈ 30,000

Question 38.

54,501 ≈

Answer:

54,501 ≈ 50,000

Question 39.

603,280 ≈

Answer:

603,280 ≈ 600,000

Question 40.

139,500 ≈

Answer:

139,500 ≈ 140,000

Question 41.

608,170 ≈

Answer:

608,170 ≈ 610,000

Question 42.

177,631 ≈

Answer:

177,631 ≈ 180,000

Question 43.

888,499 ≈

Answer:

888,499 ≈ 890,000

Question 44.

444,909 ≈

Answer:

444,909 ≈ 440,000

### Eureka Math Grade 4 Module 1 Lesson 10 Problem Set Answer Key

Question 1.

Round 543,982 to the nearest

a. thousand: ___________________________________.

b. ten thousand: ___________________________________.

c. hundred thousand: ___________________________________.

Answer:

Question 2.

Complete each statement by rounding the number to the given place value.

a. 2,841 rounded to the nearest hundred is _________________________.

Answer:

b. 32,851 rounded to the nearest hundred is _________________________.

Answer:

c. 132,891 rounded to the nearest hundred is _________________________.

Answer:

d. 6,299 rounded to the nearest thousand is _________________________.

Answer:

e. 36,599 rounded to the nearest thousand is _________________________.

Answer:

f. 100,699 rounded to the nearest thousand is _________________________.

Answer:

g. 40,984 rounded to the nearest ten thousand is _________________________.

Answer:

h. 54,984 rounded to the nearest ten thousand is _________________________.

Answer:

i. 997,010 rounded to the nearest ten thousand is _________________________.

Answer:

j. 360,034 rounded to the nearest hundred thousand is _________________________.

Answer:

k. 436,709 rounded to the nearest hundred thousand is _________________________.

Answer:

l. 852,442 rounded to the nearest hundred thousand is _________________________.

Answer:

Question 3.

Empire Elementary School needs to purchase water bottles for field day. There are 2,142 students. Principal Vadar rounded to the nearest hundred to estimate how many water bottles to order. Will there be enough water bottles for everyone? Explain.

Answer:

Number of students = 2,142 students.

Principal Vadar rounded to the nearest hundred to estimate the order of water bottles for the fields day.

if Principal Vadar rounded to 2,100 their won’t be enough water bottles for everyone on the fields day. As their will a shortage of 142 bottles.But if Principal Vadar rounded to 2,200 then their would be enough water bottles for everyone on the fields day. 58 more bottles would be ordered.

Question 4.

Opening day at the New York State Fair in 2012 had an attendance of 46,753. Decide which place value to round 46,753 to if you were writing a newspaper article. Round the number and explain why it is an appropriate unit to round the attendance to.

Answer:

Opening day at the New York State Fair in 2012 had an attendance of 46,753

if i were writing a newspaper article i would round the number to the highest place value of the given number 46,753

The highest place value of 46,753 is ten thousand.

So, I would round it to 50,000 and write it in the newspaper article.

Question 5.

A jet airplane holds about 65,000 gallons of gas. It uses about 7,460 gallons when flying between New York City and Los Angeles. Round each number to the largest place value. Then, find about how many trips the plane can take between cities before running out of fuel.

Answer:

Number of gallons of gas A jet airplane holds is = 65,000

Number of gallons used when flying between New York City and Los Angeles is = 7,460

According to the rounding the plane can take 10 trips between cities before running out of fuel.

### Eureka Math Grade 4 Module 1 Lesson 10 Exit Ticket Answer Key

Question 1.

There are 598,500 Apple employees in the United States.

a. Round the number of employees to the given place value.

thousand: ________________________________

ten thousand: _____________________________

hundred thousand: __________________________

Answer:

b. Explain why two of your answers are the same.

Answer:

The 9 in the ten thousand place when rounds to 10 which is then shifted to hundred thousands place making 6 hundred thousand 600,000. The 5 in the hundred thousand place gets rounds to 6 hundred thousand as their is 9 in the ten thousand place.

Question 2.

A company developed a student survey so that students could share their thoughts about school. In 2011, 78,234 students across the United States were administered the survey. In 2012, the company planned to administer the survey to 10 times as many students as were surveyed in 2011. About how many surveys should the company have printed in 2012? Explain how you found your answer.

Answer:

Number of students across the United States who administered the survey in 2011 are = 78,234

78,234 i s rounded to nearest ten thousand 80,000

In 2012

The company planned to administer the survey to 10 times as many students as were surveyed in 2011

10 × 80,000 = 800,000.

### Eureka Math Grade 4 Module 1 Lesson 10 Homework Answer Key

Question 1.

Round 845,001 to the nearest

a. thousand: ________________________________________.

b. ten thousand: ______________________________________.

c. hundred thousand: ___________________________________.

Answer:

Question 2.

Complete each statement by rounding the number to the given place value.

a. 783 rounded to the nearest hundred is ________________________________.

Answer:

b. 12,781 rounded to the nearest hundred is ______________________________.

Answer:

c. 951,194 rounded to the nearest hundred is _____________________________.

Answer:

d. 1,258 rounded to the nearest thousand is _______________________________.

Answer:

e. 65,124 rounded to the nearest thousand is ______________________________.

Answer:

f. 99,451 rounded to the nearest thousand is _______________________________.

Answer:

g. 60,488 rounded to the nearest ten thousand is _____________________________.

Answer:

h. 80,801 rounded to the nearest ten thousand is _____________________________.

Answer:

i. 897,100 rounded to the nearest ten thousand is _____________________________.

Answer:

j. 880,005 rounded to the nearest hundred thousand is _________________________.

Answer

k. 545,999 rounded to the nearest hundred thousand is _________________________.

Answer:

l. 689,114 rounded to the nearest hundred thousand is _________________________.

Answer:

Question 3.

Solve the following problems using pictures, numbers, or words.

a. In the 2011 New York City Marathon, 29,867 men finished the race, and 16,928 women finished the race. Each finisher was given a t-shirt. About how many men’s shirts were given away? About how many women’s shirts were given away? Explain how you found your answers.

Answer:

Number of men finished the race in the 2011 New York City Marathon are = 29,867

Number of women finished the race in the 2011 New York City Marathon are = 16,928

I have rounded the number to the nearest thousands place 30,000 and 17,000 as you can see the value in the image are above the mid points.

b. In the 2010 New York City Marathon, 42,429 people finished the race and received a medal. Before the race, the medals had to be ordered. If you were the person in charge of ordering the medals and estimated how many to order by rounding, would you have ordered enough medals? Explain your thinking.

Answer:

Number of people finished the race and received a medal in the 2010 New York City Marathon are = 42,429

If i rounded the number to the nearest thousand it would be 42,000 which won’t be enough. If we round the number to the nearest then thousand it would be 40,000 and this value also won’t be enough too.

c. In 2010, 28,357 of the finishers were men, and 14,072 of the finishers were women. About how many more men finished the race than women? To determine your answer, did you round to the nearest ten thousand or thousand? Explain.

Answer:

Number of men who finished the race in 2010 = 28,357

Number of women who finished the race in 2010 = 14,072

28,357 ~ 30,000

14,072 ~ 10,000

30,000 – 10,000 = 20,000 more men finished the race than women.

Rounded the number to the nearest ten thousands. I used this place because i could use mental math.