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Rounding Numbers

We can round numbers to certain accuracy or to a particular unit place. This is used to make calculation easier to do and results easier to understand, when exact values are not too important.

First, you need to remember your place values.

Math diagram

Rounding Whole Numbers

The numbers can be rounded to the nearest ten, hundred, thousand, and so on.

When rounding a number, first identify the rounding digit. Then follow the following two rules.

( a ) If the number to the right of the rounding digit is 0 , 1 , 2 , 3 , or 4 (that is, less than 5 ), then keep the rounding digit and change the rest of the digits right to the rounding digit to zero.

Example:

Round 234 to the nearest hundred.

First identify the rounding digit.

2 34

Now look at the digit just to right of it.

The number in the hundreds place is 2 and the number right to 2 is 3 .

Since 3 is less than 5 , keep 2 as it is and change the rest of the digits to zero on right.

So to the nearest hundred, 234 is rounded to 200 .

Example:

To the nearest tens, 43 rounded to 40 .

To the nearest hundreds, 619 rounded to 600 .

To the nearest thousands, 3367 rounded to 3000 .

( b ) If the number to the right of the rounding digit is 5 , 6 , 7 , 8 , or 9 (that is, greater than or equal to 5 ), then add one to the rounding digit and change the rest of the digits right to the rounding digit to zero.

Example:

Round 261 to the nearest hundred.

First identify the rounding digit.

2 61

Now look at the digit just to right of it.

The number in the hundreds place is 2 and the number right to 2 is 6 .

Since 6 is greater than 5 , add 1 to 2 and change the rest of the digits to zero on right.

So to the nearest hundred, 261 is rounded to 300 .

Example:

To the nearest tens, 46 rounded to 50 .

To the nearest hundreds, 353 rounded to 400 .

To the nearest thousands, 4732 rounded to 5000 .

See also Rounding Decimals .

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