Basic Mathematics for College Students

4.5 Fractions and Decimals 377

EXAMPLE (^6) Write as a decimal and round to the nearest hundredth.
StrategyWe will use the methods of this section to divide to the thousandths
column.
WHYTo round to the hundredths column, we need to continue the division
process for one more decimal place, which is the thousandths column.
Solution means.
After dividing to the thousandths column, we round to the hundredths column.
The rounding digit in the hundredths column is 3.
The test digit in the thousandths column is 3.
0.333...
Since 3 is less than 5, we round down, and we have
Read as “is approximately equal to.”

1

3

0.33

Write a decimal point and three additional zeros to the right of 1.

The division process can stop. We have divided to the thousandths column.

0.333

(^3) 1.000
 9
10
 9
10
 9
1
(^131)  3
1
3
Self Check 6
Write as a decimal and round
to the nearest hundredth.
Now TryProblem 51
4
9
EXAMPLE (^7) Write as a decimal and round to the nearest thousandth.
StrategyWe will use the methods of this section to divide to the ten-thousandths
column.
WHYTo round to the thousandths column, we need to continue the division
process for one more decimal place, which is the ten-thousandths column.
Solution means.
After dividing to the ten-thousandths column, we round to the thousandths column.
The rounding digit in the thousandths column is 5.
The test digit in the ten-thousandths column is 7.
0.2857
Since 7 is greater than 5, we round up, and^27 0.286.
Write a decimal point and four additional zeros to the right of 2.
The division process can stop.
We have divided to the ten-thousandths column.

0.2857

7 2.0000

 14

60

 56

40

 35

50

 49

1

(^272)  7
2
7
Self Check 7
Write as a decimal and round
to the nearest thousandth.
Now TryProblem 61
7
24