estimate quotients using 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 for 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 numbers that are easy to divide, then perform the division with those rounded numbers.

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Estimate the quotient of 2,239 ÷ 7 using compatible numbers.

Back

The estimated quotient is 300, as 2,239 can be rounded to 2,100 and 7 can be rounded to 7, making the division easier.

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What is the purpose of estimating quotients?

Back

Estimating quotients helps to quickly assess the size of the answer without performing exact calculations, which is useful in real-life situations.

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How can you compare two estimated quotients?

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You can compare two estimated quotients by calculating each estimate and using comparison symbols (<, >, =) to determine their relationship.

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Estimate the quotient of 249 ÷ 8 using compatible numbers.

Back

The estimated quotient is about 30, as 249 can be rounded to 240 and 8 can be rounded to 8.

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What is the estimated number of boxes each scout sold if 2,684 boxes were sold by 9 scouts?

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Each scout sold about 300 boxes, as 2,684 can be rounded to 2,700 and divided by 9.

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What is the estimated quotient of 2,718 ÷ 8?

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The estimated quotient is about 300, as 2,718 can be rounded to 2,720 and 8 can be rounded to 8.

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How do you round numbers for estimation?

Back

To round numbers for estimation, look at the digit to the right of the place value you are rounding to. If it's 5 or more, round up; if it's less than 5, round down.

Front

Estimate the quotient of 613 ÷ 3 using compatible numbers.

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The estimated quotient is about 200, as 613 can be rounded to 600 and 3 can be rounded to 3.