Estimate Quotients Using Compatible Numbers

Front

What is a compatible number in division?

Back

A compatible number is a number that is easy to compute with mentally, often rounded to a nearby number that makes calculations simpler.

Front

How do you estimate a quotient using compatible numbers?

Back

To estimate a quotient using compatible numbers, round the dividend and divisor to numbers that are easy to divide, then perform the division.

Front

Estimate the quotient of 474 ÷ 9 using compatible numbers.

Back

You can round 474 to 480 and 9 to 10, so 480 ÷ 10 = 48.

Front

What is the estimated quotient of 315 ÷ 8 using compatible numbers?

Back

Round 315 to 320 and 8 to 8, so 320 ÷ 8 = 40.

Front

How can you check if your estimated quotient is reasonable?

Back

You can multiply the estimated quotient by the divisor to see if it is close to the original dividend.

Front

What is the estimated quotient of 179 ÷ 9 using compatible numbers?

Back

Round 179 to 180 and 9 to 9, so 180 ÷ 9 = 20.

Front

Estimate the quotient of 784 ÷ 8 using compatible numbers.

Back

Round 784 to 800 and 8 to 8, so 800 ÷ 8 = 100.

Front

What is the estimated quotient of 358 ÷ 3 using compatible numbers?

Back

Round 358 to 360 and 3 to 3, so 360 ÷ 3 = 120.

Front

Why is it useful to use compatible numbers in division?

Back

Using compatible numbers simplifies calculations, making it easier to estimate and check answers.

Front

What is the difference between exact and estimated quotients?

Back

An exact quotient is the precise result of division, while an estimated quotient is a rounded or simplified version for easier calculation.