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

Rounding Off Decimal Examples

Example 1:
 145.35

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`.

Example 2:
 1540

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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