**Rounding Decimals**

Decimals are rounded the same way as whole numbers are rounded.

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

**Examples**

**Example 1**

Round 0.53871 to the nearest thousandth.

**Solution 1**

We are rounding to the thousandths place, which is the digit 8. Since the digit to the right of the 8 is 7, raise the 8 to a 9 and drop all digits to the right of the 9. Hence, the answer is 0.539.

**Example 2**

Round 83.2146 to the nearest hundredth.

**Solution 2**

The digit in the hundredths place is 1 and since the digit to the right of 1 is 4, the 1 remains the same. Hence, the answer is 83.21.

**Rounding Decimals Practice Problems
**

**Practice**

1. Round 0.38 to the nearest tenth

2. Round 0.2324 to the nearest hundredth

3. Round 26.4567 to the nearest thousandth

4. Round 0.8999 to the nearest ten thousandths

5. Round 2.812 to the nearest one

**Answers**

1. 0.4

2. 0.23

3. 26.457

4. 1

5. 3

**Math Note:** Zeros can be affixed to the end of a decimal on the right side of the decimal point. For example, 0.62 can be written as 0.620 or 0.6200. Likewise, the zeros can be dropped if they are at the end of a decimal on the right side of the decimal point. For example, 0.3750 can be written as 0.375.

Practice problems for these concepts can be found at: Decimals Practice Test.

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