Method

Rounding to Decimal Places

Rounding a decimal number to n decimal places means to rewrite the number in a simpler and shorter form with exactly n decimals. The final result will be an approximation to the given number.

The number 27.6495183 rounded to two decimal places is 27.65.

The following steps should be followed to round a number to n decimal places.

Look For the nth Digit to the Right of the Decimal Point

Consider the number 27.64951. In each column, the corresponding decimal place is highlighted.

Round to One Decimal Place	Round to Two Decimal Places	Round to Three Decimal Places
27. 64951	27.6 4951	27.64 951

Draw a Vertical Bar to the Right of This Digit

Round to One Decimal Place	Round to Two Decimal Places	Round to Three Decimal Places
27. 6\|4951	27.6 4\|951	27.64 9\|51

Look at the Digit to the Right of the Bar

If it is less than 5, keep the nth digit the same.

If it is equal to 5 or more, increase the nth digit by 1.
- If the nth digit becomes 10, write 0 instead and increase the preceding digit by 1. Repeat this as many times as needed.

Round to One Decimal Place	Round to Two Decimal Places	Round to Three Decimal Places
27. 6\| 4951 ↓ 27. 6\| 4951	27.6 4\| 951 ↓ 27.6 5\| 951	27.64 9\| 51 ↓ 27.6410\| 51 ↓ 27.6 5 0\| 51

Remove the Bar and Any Digits to Its Right

The following table shows the results of rounding 27.64951 to one, two, and three decimal places.

Round to One Decimal Place	Round to Two Decimal Places	Round to Three Decimal Places
27.6	27.65	27.650

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