Practice Rounding

Rounding replaces a number with a nearby value at a chosen place value.

It makes measurements and large quantities easier to communicate while controlling precision.

Exercises with solutions

To round, look at the digit immediately to the right of the place you are rounding to. If it is 0 to 4, the place stays the same. If it is 5 to 9, increase it by one. All digits to the right become zero.

Exercise 1

Round 4,738 to the nearest hundred.

Show solution and working

4,700

The tens digit is 3, which is less than 5. The hundreds digit 7 stays, and all digits to the right become zero.

Exercise 2

Round 4,738 to the nearest ten.

Show solution and working

4,740

The ones digit is 8, which is 5 or more. The tens digit 3 becomes 4, and the ones digit becomes zero.

Exercise 3

Round 6,951 to the nearest thousand.

Show solution and working

7,000

The hundreds digit is 9, which is more than 5. The thousands digit 6 becomes 7 and all further digits become zero.

Exercise 4

Estimate 398 + 603 by rounding both numbers to the nearest hundred.

Show solution and working

400 + 600 = 1,000

398 becomes 400 because the tens digit is 9. 603 becomes 600 because the tens digit is 0. The estimate is 1,000; the exact sum is 1,001.

Common mistake

Looking at the wrong digit: rounding to hundreds is decided by the tens digit, not by the hundreds digit itself. And an estimate is only a check, not the exact result.

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Area: Numbers and arithmeticFrom grade 5 · Grades follow the North Rhine-Westphalia curriculum; other German states may introduce topics at different times.
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