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3 years ago

Matching fractions and decimals

Mathematics

1 answer:

Alisiya [41]3 years ago

6 0

1). 2/5 = 0.4
2). 0.65 = 13/20
3). 18/25 = 0.72
4). 9/20 = 0.45
5). 0.5 = 1/2
6). 0.20 = 1/5
7). 3/25 = 0.12
8). 3/4 = 0.75
9). 0.6 = 3/5
** I can't see #10, but I can do it for you if you comment it to me.

I hope this helps you.

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julia-pushkina [17]

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Step-by-step explanation:

Law of Exponent I

$\displaystyle \large{ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }$

Therefore:

$\displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = ({5}^{8 - 3})^{4} } \\ \displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = ({5}^{5})^{4} }$

Law of Exponent II

$\displaystyle \large{( {a}^{m} ) ^{n} = {a}^{m \times n} }$

Thus:

$\displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = ({5}^{8 - 3})^{4} } \\ \displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = ({5}^{5})^{4} } \\ \displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = {5}^{5 \times 4} } \\ \displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = {5}^{20} }$

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