## Engage NY Eureka Math 6th Grade Module 2 Lesson 12 Answer Key

### Eureka Math Grade 6 Module 2 Lesson 12 Example Answer Key

Estimate and apply the division algorithm to evaluate the expression 918 ÷ 27. ### Eureka Math Grade 6 Module 2 Lesson 12 Exercise Answer Key

Round to estimate the quotient. Then, compute the quotient using a calculator, and compare the estimation to the quotient.

Exercise 1.
2,970 ÷ 11
a. Round to a one-digit arithmetic fact. Estimate the quotient. Estimate: 300

b. Use a calculator to find the quotient. Compare the quotient to the estimate.
2,970 ÷ 11 = 270
The quotient is very close to the estimate.

Exercise 2.
4,752 ÷ 12
a. Round to a one-digit arithmetic fact. Estimate the quotient. Estimate: 500

b. Use a calculator to find the quotient. Compare the quotient to the estimate.
4,752 ÷ 12 = 396
The quotient is close to the estimate but not as close as the estimate in the first exercise.

Exercise 3.
11,647 ÷ 19
a. Round to a one-digit arithmetic fact. Estimate the quotient. Estimate: 600

b. Use a calculator to find the quotient. Compare the quotient to the estimate.
11,647 ÷ 19 = 613
The quotient is very close to the estimate.

Exercise 4.
40,644 ÷ 18
a. Round to a one-digit arithmetic fact. Estimate the quotient. Estimate: 2,000

b. Use a calculator to find the quotient. Compare the quotient to the estimate.
40,644 ÷ 18 = 2,258
The quotient is close to the estimate but not as close as the estimate in the third exercise.

Exercise 5.
49,170 ÷ 15
a. Round to a one-digit arithmetic fact. Estimate the quotient. Estimates may vary but could include 5,000 or 2,000.

b. Use a calculator to find the quotient. Compare the quotient to the estimate.
49,170 ÷ 15 = 3,278
The quotient is somewhat close to the estimate; however, it is not as accurate as previous exercises and examples where the divisors were closer to a multiple of 10.

### Eureka Math Grade 6 Module 2 Lesson 12 Problem Set Answer Key

Round to estimate the quotient. Then, compute the quotient using a calculator, and compare the estimate to the quotient.

Estimates may vary.

Question 1.
715 ÷ 11
Estimate:. 700 ÷ 10 = 70
Quotient: 715 ÷ 11 = 65
Comparison: Since the dividend is very close to a multiple of ten, the quotient is very close to the estimate.

Question 2.
7,884 ÷ 12
Estimate: 8,000 ÷ 10 = 800
Quotient: 7,884 ÷ 12 = 657
Comparison: The dividend is close to a multiple of ten, so the quotient is close to the estimate.

Question 3.
9,646 ÷ 13
Estimate: 10,000 ÷ 10 = 1,000
Quotient: 9,646 ÷ 13 = 742
Comparison: The dividend is somewhat close to a multiple of ten, so me quotient is fairly close to the estimate.

Question 4.
11,942 ÷ 14
Estimate: 12,000 ÷ 10 = 1,200
Quotient: 11,942 ÷ 14 = 853
Comparison: The dividend is not as close to a multiple of ten, so the quotient is not nearly as close to the estimate as dividends that are closer to a multiple of ten.

Question 5.
48,825 ÷ 15
Estimate: 50,000 ÷ 10 = 5,000
Quotient: 48,825 ÷ 15 = 3,255
Comparison: The dividend is midway between multiples often. The quotient is in the same place value but is not as close to the estimate as dividends that are closer to a multiple of ten.

Question 6.
135,296 ÷ 16
Estimate: 140,000 ÷ 20 = 7,000
Quotient: 135,296 ÷ 16 = 8,456
Comparison: The dividend is not as close to a multiple of ten, so the quotient is not nearly as close to the estimate as dividends that are closer to a multiple of ten.

Question 7.
199,988 ÷ 17
Estimate: 200,000 ÷ 20 = 10,000
Quotient: 199,998 ÷ 17 = 11,764
Comparison: The dividend is somewhat close to a multiple of ten, so the quotient is fairly close to the estimate.

Question 8.
116,478 ÷ 18
Estimate: 120,000 ÷ 20 = 6,000
Quotient: 116,478 ÷ 18 = 6,471
Comparison: The dividend is close to a multiple of ten, so the quotient is close to the estimate.

Question 9.
99,066÷ 19
Estimate: 100,000 ÷ 20 = 5,000
Quotient: 99,066 ÷ 19 = 5,214
Comparison: Since the dividend is very close to a multiple of ten, the quotient is very close to the estimate.

Question 10.
181,800 ÷ 20
Estimate: 180,000 ÷ 20 = 9,000
Quotient: 181,800 ÷ 20 = 9,090
Comparison: Since the divisor is a multiple of ten, the quotient is almost exactly the same as the estimate.

### Eureka Math Grade 6 Module 2 Lesson 12 Exit Ticket Answer Key

Round to estimate the quotient. Then, compute the quotient using a calculator, and compare the estimation to the quotient.

Question 1.
4,732 ÷ 13 Estimate: 500
4732 ÷ 13 = 364
The quotient 364 is somewhat close to the estimate. Both numbers are in the hundreds. If the divisor was closer to a multiple of 10, the estimate would have been closer to the quotient.

Question 2.
22,752 ÷ 16  