Estimating Quotients Using Compatible Numbers

The video tutorial introduces the concept of estimating quotients using compatible numbers instead of traditional rounding. It provides examples of how to apply this method to division problems, demonstrating the process with numbers like 286 divided by 7, 3427 divided by 5, and 268 divided by 8. The tutorial includes practice problems and a homework assignment to reinforce the learning.

What is the main purpose of using compatible numbers instead of rounding when estimating quotients?

• To avoid using division

• To make the numbers larger

• To make the numbers smaller

• To get closer to the real answer quickly

Why is 280 divided by 7 easier to compute than 300 divided by 7?

• Because 280 is a multiple of 7

• Because 280 is a smaller number

• Because 300 is not a multiple of 7

• Because 300 is a larger number

In the example of 3427 divided by 5, which compatible number is closest to 34?

• 30

• 32

• 35

• 40

What is the result of 3500 divided by 5 using compatible numbers?

• 600

• 700

• 800

• 900

For the number 268 divided by 8, which compatible number is closest to 26?

• 24

• 32

• 28

• 40

What is the estimated result of 240 divided by 8 using compatible numbers?

• 35

• 30

• 25

• 20

Which of the following is a compatible number for 4 when estimating 127 divided by 4?

• 10

• 12

• 16

• 14

What is the estimated result of 120 divided by 4 using compatible numbers?

• 20

• 30

• 25

• 35

Which compatible number is closest to 28 when estimating 2839 divided by 3?

• 33

• 24

• 27

• 30

What is the estimated result of 2700 divided by 3 using compatible numbers?

• 850

• 950

• 800

• 900