Estimating Quotients with Compatible Numbers

Front

What are compatible numbers?

Back

Compatible numbers are numbers that are easy to compute with mentally. They are often rounded numbers that make calculations simpler.

Front

How do you estimate a quotient using compatible numbers?

Back

To estimate a quotient, replace the original numbers with compatible numbers that are easier to divide.

Front

Estimate the quotient: 913 ÷ 29 using compatible numbers.

Back

900 ÷ 30 = 30.

Front

What is the estimated quotient of 609 ÷ 21 using compatible numbers?

Back

600 ÷ 20 = 30.

Front

Which of the following is a compatible number pair for estimating 72,000 ÷ 80?

Back

72,000 ÷ 80 is compatible because both numbers can be rounded easily.

Front

Estimate the quotient: 5,100 ÷ 110 using compatible numbers.

Back

5,000 ÷ 100 = 50.

Front

What is the estimated quotient of 240 ÷ 9 using compatible numbers?

Back

240 ÷ 9 is not compatible; a better estimate would be 240 ÷ 10 = 24.

Front

Which numbers are compatible to find an estimated quotient for 90,000 ÷ 3000?

Back

90,000 ÷ 3000 is compatible because both numbers can be simplified easily.

Front

What is the estimated quotient of 800 ÷ 9 using compatible numbers?

Back

800 ÷ 9 is not compatible; a better estimate would be 800 ÷ 10 = 80.

Front

Why is it important to use compatible numbers for estimation?

Back

Using compatible numbers makes mental math easier and helps to quickly find approximate answers.