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We first considered the concept of rounding numbers in [link] where our concern with rounding was related to whole numbers only. With a few minor changes, we can apply the same rules of rounding to decimals.
To round a decimal to a particular position:
Round each decimal to the specified position. (The numbers in parentheses indicate which step is being used.)
Round 32.116 to the nearest hundredth.
$\text{1}+\text{1}=\text{2}$
32.12
The number 32.116 rounded to the nearest hundredth is 32.12.
Round 633.14216 to the nearest hundred.
600
The number 633.14216 rounded to the nearest hundred is 600.
1,729.63 rounded to the nearest ten is 1,730.
1.0144 rounded to the nearest tenth is 1.0.
60.98 rounded to the nearest one is 61.
Sometimes we hear a phrase such as "round to three decimal places." This phrase means that the round-off digit is the third decimal digit (the digit in the thousandths position).
67.129 rounded to the second decimal place is 67.13.
67.129558 rounded to 3 decimal places is 67.130.
Round each decimal to the specified position.
For the first 10 problems, complete the chart by rounding each decimal to the indicated positions.
20.01071
Tenth | Hundredth | Thousandth | Ten Thousandth |
Tenth | Hundredth | Thousandth | Ten Thousandth |
20.0 | 20.01 | 20.011 | 20.0107 |
3.52612
Tenth | Hundredth | Thousandth | Ten Thousandth |
3.53 |
531.21878
Tenth | Hundredth | Thousandth | Ten Thousandth |
Tenth | Hundredth | Thousandth | Ten Thousandth |
531.2 | 531.22 | 531.219 | 531.2188 |
36.109053
Tenth | Hundredth | Thousandth | Ten Thousandth |
36.1 |
1.999994
Tenth | Hundredth | Thousandth | Ten Thousandth |
Tenth | Hundredth | Thousandth | Ten Thousandth |
2.0 | 2.00 | 2.000 | 2.0000 |
7.4141998
Tenth | Hundredth | Thousandth | Ten Thousandth |
7.414 |
0.000007
Tenth | Hundredth | Thousandth | Ten Thousandth |
Tenth | Hundredth | Thousandth | Ten Thousandth |
0.0 | 0.00 | 0.000 | 0.0000 |
0.00008
Tenth | Hundredth | Thousandth | Ten Thousandth |
0.0001 |
9.19191919
Tenth | Hundredth | Thousandth | Ten Thousandth |
Tenth | Hundredth | Thousandth | Ten Thousandth |
9.2 | 9.19 | 9.192 | 9.1919 |
0.0876543
Tenth | Hundredth | Thousandth | Ten Thousandth |
1 decimal place.
6 decimal places.
$\text{4}\xf7\text{3}$ and round to 2 decimal places.
$\text{1}\xf7\text{27}$ and round to 6 decimal places.
$\text{51}\xf7\text{61}$ and round to 5 decimal places.
0.83607
$\text{3}\xf7\text{16}$ and round to 3 decimal places.
$\text{16}\xf7\text{3}$ and round to 3 decimal places.
5.333
$\text{26}\xf7\text{7}$ and round to 5 decimal places.
( [link] ) What is the value of 2 in the number 421,916,017?
Ten million
( [link] ) Perform the division: $\text{378}\xf7\text{29}$ .
( [link] ) Convert $\frac{\text{11}}{3}$ to a mixed number.
( [link] ) Convert 3.16 to a mixed number fraction.
$3\frac{4}{\text{25}}$
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