Page 335 - Basic College Mathematics with Early Integers

312 C HAPTE R 4 I DECIMALS

PRACTICE 4 Example 4 Divide: 10.764 , 2.3
Divide: 166.88 , 5.6
Solution: We move the decimal points in the divisor and the dividend one place
to the right so that the divisor is a whole number.

4.68
2.310.764 becomes 23.107.64
–92
15 6
–13 8
1 84
–1 84
0
Work Practice 4

PRACTICE 5 Example 5 Divide: 5.264 , 0.32
Divide: 1.976 , 0.16
Solution:
16.45
0.325.264 becomes 32526.40 Insert one 0.
–32
206
–192
14 4
–12 8
1 60
–1 60
0
Work Practice 5

Concept Check Is it always true that the number of decimal places in a
quotient equals the sum of the decimal places in the dividend and divisor?

PRACTICE 6 Example 6 Divide: 17.5 , 0.48. Round the quotient to the nearest hundredth.

Divide: 23.4 , 0.57. Round
the quotient to the nearest Solution: First we move the decimal points in the divisor and the dividend two
hundredth. places.Then we divide and round the quotient to the nearest hundredth.
hundredths place
When rounding to the nearest hundredth, carry the
36.458≠36.46
division process out to one more decimal place, the
48.1750.000 thousandths place.
“is approximately”
–144
310
–288
22 0
–19 2
2 80
–2 40
Answers Copyright 2012 Pearson Education, Inc.
400
4. 29.8 5. 12.35 6. 41.05
–384
Concept Check Answer 16
no Work Practice 6