Skill: Estimate quotients

Explanation and Free Practice Resources

Estimating a quotient involves using rounding, compatible numbers, or nearby multiples to replace a division problem with an easier one and determine a reasonable approximate whole-number quotient. The estimate helps anticipate the size of an exact quotient and check whether a computed answer is sensible for whole-number dividends of up to four digits divided by one-digit divisors; decimal quotients, fractions, and more complex multi-digit divisors are not included.

Detailed Explanation: Estimate quotients

To estimate a quotient, replace the dividend with a nearby number that is easy to divide. Choose a nearby compatible number, or a number that is a multiple of the divisor.

Example:

638÷7638 \div 7
  1. Find a nearby number to (638)(638) that is easy to divide by 77.
    (630)(630) is close to (638)(638), and it is a multiple of 77.

  2. Divide the compatible number:

630÷7=90630 \div 7 = 90
  1. State the estimate:
638÷7≈90638 \div 7 \approx 90

So, the quotient is about (90)(90). This makes sense because (90×7=630)(90 \times 7=630), which is close to (638)(638).

Learn by doing: Estimate quotients

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Division - Estimate Quotient - 3 by 1 digit


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