Rounding Decimals

Decimals practice

Round to the nearest whole number, tenth or hundredth named in the problem.

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About this practice

Round a decimal to the place the question names.

Each question names the place: the nearest whole number, tenth or hundredth. The decimals have up to three decimal places and can be above or below 1. A zero at the end does not change a value, so 5.0 and 5 are the same answer.

Typical level: Grade 5In the U.S. Common Core, Grade 5 rounds decimals to any place. This practice rounds to the nearest whole number, tenth or hundredth. Curriculum timing varies.

Find the rounding place, then look one place right

Example: round 6.47 to the nearest tenth

  1. Find the rounding place 4 tenths The tenths digit of 6.47 is 4. (Decimal Place Value practices naming each place.)
  2. Look one place right 7 hundredths The next digit is 7. If the next digit is 0 to 4, keep the rounding digit the same. If it is 5 to 9, increase the rounding place by 1.
  3. Write the rounded value 6.47 ≈ 6.5 7 is 5 or more, so the 4 becomes 5. Nothing is written after the tenths place.

Why the next digit decides: 6.47 is between 6.4 and 6.5, and halfway between them is 6.45. The hundredths digit tells you which side of halfway you are on.

closer to 6.4 closer to 6.5 6.4 6.5 halfway 6.45 6.47
6.47 is past the halfway point 6.45, so it is closer to 6.5.

Other places. To round to the nearest whole number, look at the tenths digit. To round to the nearest hundredth, look at the thousandths digit.

Halfway means round up

3.45 is exactly halfway between 3.4 and 3.5. It is no closer to one than the other, so the rule is to round up: 3.45 ≈ 3.5. That is why a 5 in the deciding place raises the rounding digit.

Rounding up can change more than one digit. In 4.96, the tenths digit is 9 and the next digit is 6, so the 9 goes up by 1 to make 10 tenths. 10 tenths make 1 one, which is added to the ones place, so 4.96 ≈ 5.0.