Change the denominators into powers of 10 and write the decimal form. a) . (4)/(5) b) . (1)/(20) c) . (3)/(160) ​

Question

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

a)
.

`(4)/(5)`


b)
.

`(1)/(20)`

c)
.

`(3)/(160)`


​

Answer 1

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

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

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