A method of approximating a number using a nearby number at a given degree of accuracy is called rounding a number.

**Rounding decimal places – Rules:**

1. Retain the correct number of decimal places (e.g 1 for tenths, 2 for hundredth).

2. If the next decimal place value is greater than 4, increase the value in the last retained decimal place by 1.

**Example 1:** Round 0.2386 to 3 decimal places.

**Solution:**

The 4th decimal number, 6, is bigger than 4, so we add 1 to the 3rd decimal number 8, and drop the rest of the decimal numbers.

Therefore answer is 0.239.

**Example 2:** Rounding a number 0.2385 to 2 decimal places.

**Solution:**

The 3rd decimal number, 8, is greater than 4, so we add 1 2^{nd} decimal number 3, and drop the rest of the decimal numbers.

Therefore answer is 0.24.

**Example 3:** Round 4.6596356 to 4 decimal places.

**Solution:**

The fifth decimal number, 3, is less than 4, so we do nothing to the 6, and drop the rest of the decimal numbers.

Therefore answer is 4.6596

**Example 4:** Round 38.28577 rounded to the nearest **whole number**.

**Solution:**

The first decimal number, 2, is less than 4, so we do nothing to the 2, and drop the rest of the decimal numbers.

Therefore answer is 38.

**Example 5:** 23.45781 rounded to the nearest tenth.

**Solution:**

The first decimal number, 4, is equal to 4, so we do nothing to the 4, and drop the rest of the decimal numbers.

Therefore answer is 23.4.

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**Example 6:** 61.13248 rounded to the nearest hundredth.

**Solution:**

The 3rd decimal number, 2, is less than 4, so we do nothing to the 3, and drop the rest of the decimal numbers.

Therefore answer is 61.13

**Problem 1:** 83.74648 rounded to the nearest hundredth.

**Answer: **83.75

**Problem 2: **57.94642 rounded to the nearest thousandth.

**Answer: **57.946

**Problem 3:** 8.74878 rounded to the nearest thousandth.

**Answer: **8.749