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# Rounding Numbers Help

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By McGraw-Hill Professional
Updated on Sep 21, 2011

## Rounding Numbers

Many times it is not necessary to use an exact number. In this case, an approximate number can be used. Approximations can be obtained by rounding numbers. All numbers can be rounded to specific place values.

To round a number to a specific place value, first locate that place value digit in the number. If the digit to the right of the specific place value digit is 0, 1, 2, 3, or 4, the place value digit remains the same. If the digit to the right of the specific place value digit is 5, 6, 7, 8, or 9, add one to the specific place value digit. All digits to the right of the specific place value digit are changed to zeros .

#### Example 1

Round 3,261 to the nearest hundred.

#### Solution 1

We are rounding to the hundreds place, which is the digit 2. Since the digit to the right of the 2 is 6, add 1 to 2 to get 3. Change all digits to the right to zeros. Hence 3,261 rounded to the nearest hundred is 3,300.

#### Example 2

Round 38,245 to the nearest thousand.

#### Solution 2

We are rounding to the thousands place, which is the digit 8. Since the digit to the right of the 8 is 2, the 8 stays the same. Change all digits to the right of 8 to zeros. Hence 38,245 rounded to the nearest thousand is 38,000.

#### Example 3

Round 398,261 to the nearest ten thousand.

#### Solution 3

We are rounding to the ten thousands place, which is the digit 9. Since the digit to the right of the 9 is 8, the 9 becomes a 10. Then we write the 0 and add the 1 to the next digit. The 3 then becomes a 4. Hence the answer is 400,000.

#### Practice

1. Round 3,725 to the nearest thousand.

2. Round 563,218 to the nearest ten thousands.

3. Round 80,006 to the nearest 10.

4. Round 478,375 to the nearest hundred thousand.

5. Round 32,864,371 to the nearest million.

1. 4,000

2. 560,000

3. 80,010

4. 500,000

5. 33,000,000

More practice problems for these concepts can be found at: Whole Numbers Practice Test.

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