Name: __________________________________________ Date: _____________
Rounding
Place Value Review Rounding to the Nearest Whole Number
Look at the place to the right (the tenths
place). If the tenths digit is 5 or higher, round up
to the next highest whole number. If the tenths
digit is 4 or smaller, keep the whole number the
same.
Example 1: Example 2:
56.812 134.229
Rounds to 57 because Rounds to 134
the tenths digit is 8, because the tenths
which is 5 or larger. digit is 2, which is 4
or smaller.
Rounding to the Nearest Tenth Rounding to the Nearest Hundredth
Look at the place to the right (the hundredths Look at the place to the right (the thousandths
place). If the hundredths digit is 5 or higher, round place). If the thousandths digit is 5 or higher,
the tenths digit up to the next highest number. If round the hundredths digit up to the next highest
the hundredths digit is 4 or smaller, keep the tenths number. If the thousandths digit is 4 or smaller,
digit the same. keep the hundredths digit the same.
Example 1: Example 2: Example 1: Example 2:
48.2698 1.345 164.9867 24.4218
Rounds to 48.3 because Rounds to 1.3 because Rounds to 164.99 because Rounds to 24.42
the hundredths digit is 6, the hundredths digit is 4, the thousandths digit is 6, because the
which is 5 or larger. which is 4 or smaller. which is 5 or larger. thousandths digit is 1,
which is 4 or smaller.
Rounding to the Nearest Thousandth
Look at the place to the right (the ten-thousandths place). If the ten-thousandths place is 5 or higher, round the thousandths digit up to the next highest number. If the ten-thousandths place is 4 or smaller, keep the thousandths digit the same.
Example 1: Example 2:
5.81275 44.48239
Rounds to 5.813 because the ten-thousandths digit Rounds to 44.482 because the ten-thousandths digit
is 7, which is 5 or larger. is 3, which is 4 or smaller.
Rounding is important because you will be asked to round to a certain place value for problems, now and in the future. It is essential that you do this correctly.
Special Cases
Example 1:
48.1248
The students were asked to round to the nearest hundredth. Some students rounded to 48.12, because the thousandths digit was 4, which is 4 or smaller, so you keep the hundredths digit the same. Other students rounded to 48.13, because they said that the 8 in the ten-thousandths place would round the 4 to a 5, which would cause the 2 to be rounded up to a 3.
Who is right? The students who rounded 48.1248 to 48.12 are correct. You only need to look at the place value one place to the right of the place value you are rounding to. We wouldn’t start rounding from the end of a number.
Example 2:
122.897
The students were asked to round to the nearest hundredth. Because the thousandths digit is 7, which is 5 or higher, you would round the hundredths digit up to the next highest number, but it’s already a 9. So what do you do? Well, the 9 would round up to 10, which causes the 8 in the tenths place to round up to 9, so the answer is 122.9 or 122.90.
Exercises:
Round each of the following to the nearest tenth. Round each of the following to the nearest
Write your answer on the line provided. hundredth. Write your answer on the line
provided.
1) 19.82 2) 135.8924 5) 48.123 6) 3.1681
__________ __________ ___________ ____________
3) 188.984 4) 32.619 7) 137.986 8) 21.4347
__________ ___________ ___________ ____________
Round each of the following to the nearest thousandth.
Write your answer on the line provided.
9) 25.8194 10) 16.6618
__________ ___________
11) 5.2798 12) 288.48645
__________ ___________