Estimating Quotients with Compatible Numbers

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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, especially in estimation.

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How do you estimate a quotient using compatible numbers?

Back

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

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CCSS.5.NBT.B.6

CCSS.6.NS.B.2

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Estimate the quotient of 357 ÷ 5 using compatible numbers.

Back

The compatible number for 357 is 350. Therefore, 350 ÷ 5 = 70.

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CCSS.4.NBT.B.6

Front

Estimate the quotient of 2,460 ÷ 8 using compatible numbers.

Back

The compatible number for 2,460 is 2,400. Therefore, 2,400 ÷ 8 = 300.

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CCSS.4.NBT.B.6

Front

Estimate the quotient of 4,885 ÷ 7 using compatible numbers.

Back

The compatible number for 4,885 is 4,900. Therefore, 4,900 ÷ 7 = 700.

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CCSS.5.NBT.B.7

Front

Estimate the quotient of 550 ÷ 9 using compatible numbers.

Back

The compatible number for 550 is 540. Therefore, 540 ÷ 9 = 60.

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CCSS.4.NBT.B.6

Front

Estimate the quotient of 815 ÷ 9 using compatible numbers.

Back

The compatible number for 815 is 810. Therefore, 810 ÷ 9 = 90.

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CCSS.4.NBT.B.6

Front

What is the purpose of using compatible numbers in division?

Back

The purpose of using compatible numbers in division is to simplify calculations and make it easier to estimate the result.

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CCSS.4.NBT.B.6

Front

Give an example of compatible numbers for the division 1,200 ÷ 6.

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Compatible numbers for 1,200 ÷ 6 could be 1,200 and 6, or you could round to 1,200 ÷ 6 = 200.

Tags

CCSS.4.NBT.B.6

Front

Why is it important to estimate quotients?

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Estimating quotients is important because it helps to quickly assess the reasonableness of an answer and can simplify complex calculations.

Tags

CCSS.5.NBT.B.6

CCSS.6.NS.B.2