Understanding Compatible Numbers and Estimation

What is the primary purpose of using compatible numbers in division?

• To ensure exact answers in division

• To simplify division problems for easier estimation

• To avoid using any rounding techniques

• To make division problems more complex

In the poster problem, what is the first step in using compatible numbers?

• Ignoring the divisor and focusing on the dividend

• Finding a compatible number for the divisor

• Rounding the dividend to the nearest hundred

• Rounding the divisor to the nearest ten

Why is 10 chosen as a compatible number for 13 in the poster problem?

• Because 10 is a multiple of 13

• Because 10 is closer to 13 than 15

• Because 10 is a simpler number to work with

• Because 10 is the exact divisor needed

What is the estimated number of posters that can be bought when rounding the divisor to 15?

• 15 posters

• 12 posters

• 10 posters

• 20 posters

In the alternative rounding strategy, why is 15 considered more compatible with 13 than 10?

• Because 15 is easier to divide by

• Because 15 is closer to 13 than 10

• Because 15 is a multiple of 13

• Because 15 is a larger number

What compatible number is chosen for the divisor 11 in the problem 320 / 11?

• 20

• 15

• 10

• 5

When rounding 320 to a compatible number, what is the resulting dividend?

• 300

• 320

• 350

• 400

In the division of 554 by 62, what is the compatible number chosen for 62?

• 50

• 65

• 55

• 60

What is the estimated quotient when dividing 540 by 60?

• 10

• 9

• 8

• 6

Why is it important to use compatible numbers instead of just rounding?

• To avoid any form of estimation

• To find numbers that work well together for easier estimation

• To ensure the exact answer is found

• To make calculations more difficult