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11 votes
11 votes
Change the denominators into powers of 10 and write the decimal form.

a)
.

(4)/(5)


b)
.

(1)/(20)

c)
.

(3)/(160)




User Nabeel
by
3.1k points

1 Answer

18 votes
18 votes

9514 1404 393

Answer:

a) 0.8

b) 0.05

c) 0.01875

Explanation:

The denominator will need to have equal powers of 2 and 5 to be a power of 10.

a) 4/5 = (4/5)(2/2) = 8/10 = 0.8

__

b) 1/20 = 1/(2²·5) = (1/20)(5/5) = 5/100 = 0.05

__

c) 3/160 = 3/(2⁵·5) = (3/160)(625/625) = 1875/10000 = 0.01875

User David Rubin
by
3.0k points
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