# Rounding Decimals

Estimating or approximating the value of a decimal number can be done by rounding off to certain place value. Rounding limits a long string of digits for decimals which are non-terminating.

### Steps for converting Decimals to Fractions

•  Change all digits to the right of the place value to round off to zero (0).
•  If the digit to the right of the place value to be rounded off is 5 or greater, add the last nonzero digit of the new number by 1.Otherwise, keep the number unchanged

## Round off 145.348 to the nearest hundredth.

#### Explanation:

4 is the hundredth digit of 145.348.
Changing all digits to the right of 4 into zero (0);
145.340
Since the digit to the right of 4 is greater than 5, add 4 by 1.
145.35
Therefore, 145.348 rounded off to the nearest hundredths is 145.35.

## Round off 1542.36 to the nearest tens.

#### Explanation:

The ten's digit of a decimal number is the second digit to the left of the decimal point.
4 is the ten's digit of 1542.36.
Changing all digits to the right of 4 into zero (0)
1540
Since the digit to the right of 4 is less than 5, keep that new number unchanged.
1540
Therefore, 1542.36 rounded off to the nearest ten is 1540.

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