Question

decimals
to divide decimals, its important to get rid of the decimal point from the number we are dividing by.

• multiply the divisor by as many 10s as necessary to get a whole number.
• multiply the dividend by the same number of 10s.

example:
\\\

$$\begin{array}{r}22.1\\\\3.5\\overline{)773.5}\\\\ -770.0\\\\\\hline 3.5\\\\ -3.5\\\\\\hline 0\\end{array}$$

\\

a. \\\

$$\begin{array}{r}2.022\\\\30\\overline{)60.660}\\\\ -60\\\\\\hline 066\\\\ -60\\\\\\hline 60\\\\ -60\\\\\\hline 0\\end{array}$$

\\ b. \\(4.2\overline{)20.076}\\) c. \\(5.06\overline{)47.058}\\) d. \\(7\overline{)24.36}\\)
e. \\(.08\overline{)3.7872}\\) f. \\(8.4\overline{)82.152}\\) g. \\(3.5\overline{)9.205}\\) h. \\(6.02\overline{)56.588}\\)
i. \\(10\overline{)84.6}\\) j. \\(7.2\overline{)22.104}\\) k. \\(5.67\overline{)41.391}\\)

Explanation:

a. 60.660 ÷ 30

Step1: Divide directly
$60.660 ÷ 30 = 2.022$

b. 20.076 ÷ 4.2

Step1: Multiply divisor/dividend by 10
$200.76 ÷ 42 = 4.78$

c. 47.058 ÷ 5.06

Step1: Multiply by 100
$4705.8 ÷ 506 = 9.3$

d. 24.36 ÷ 7

Step1: Divide directly
$24.36 ÷ 7 = 3.48$

e. 3.7872 ÷ 0.08

Step1: Multiply by 100
$378.72 ÷ 8 = 473.4$

f. 82.152 ÷ 8.4

Step1: Multiply by 10
$821.52 ÷ 84 = 9.78$

g. 9.205 ÷ 3.5

Step1: Multiply by 10
$92.05 ÷ 35 = 2.63$

h. 56.588 ÷ 6.02

Step1: Multiply by 100
$5658.8 ÷ 602 = 9.4$

i. 84.6 ÷ 10

Step1: Divide directly
$84.6 ÷ 10 = 8.46$

j. 22.104 ÷ 7.2

Step1: Multiply by 10
$221.04 ÷ 72 = 3.07$

k. 41.391 ÷ 5.67

Step1: Multiply by 100
$4139.1 ÷ 567 = 7.3$

Answer:

a. 2.022
b. 4.78
c. 9.3
d. 3.48
e. 473.4
f. 9.78
g. 2.63
h. 9.4
i. 8.46
j. 3.07
k. 7.3