Rounding to the Nearest 10, 100, 1000

Math Interactive lesson Free to play

Rounding to the nearest 10, 100 or 1000 is a way of replacing a number with the closest "tidy" multiple of ten, a hundred or a thousand, so it is quicker to say, estimate with, and check. For example, 38 rounds to 40 to the nearest ten, and 352 rounds to 400 to the nearest hundred.

It matters because real life rarely needs exact figures: a crowd of "about 5,000", a price of "roughly $20", or a trip of "around 300 km" are all rounded values. In Singapore's MOE syllabus, rounding underpins estimation, sensible answer-checking, and later work with decimals and significant figures.

The key ideas a learner grasps are: every number sits between two multiples, and you round to the nearer one; a number line shows which side it falls on; and the shortcut "5 or more rounds up, 4 or less stays" lets you decide by reading just one digit. Which digit you check depends on the place you are rounding to — ones for the nearest 10, tens for the nearest 100, and hundreds for the nearest 1000.

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Frequently asked questions

What is the rule for rounding to the nearest 10?
Look at the ones digit. If it is 5 or more, round the tens up; if it is 4 or less, keep the tens the same. So 67 rounds to 70, while 63 rounds to 60.
Which digit do I look at when rounding to the nearest 100 or 1000?
For the nearest 100, check the tens digit; for the nearest 1000, check the hundreds digit. The chosen digit decides whether you round up or stay, and all the digits to its right become zeros.
What happens when a number ends in 5, like 45?
In Singapore primary school the convention is that 5 rounds up, so 45 rounds to 50 to the nearest ten. The digit being exactly 5 still counts as "5 or more".
Why do children learn rounding in primary school?
Rounding builds number sense and lets pupils estimate quickly and check whether an answer is reasonable. It is also the foundation for later topics like estimating sums, working with decimals, and significant figures.
What is the difference between rounding and estimating?
Rounding changes one number to a nearby tidy value. Estimating uses rounded numbers to get an approximate answer to a calculation — for example, rounding 38 and 51 to 40 and 50 to estimate their sum as about 90.

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