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shepuryov [24]
3 years ago
6

Match the rational numbers with their equivalent forms.

Mathematics
2 answers:
Studentka2010 [4]3 years ago
7 0

Answer:

(a) 0.0\overline{5} is equivalent to 1/18.

(b) 0.5 is equivalent to \sqrt{0.25}.

(c) 1/7 is equivalent to 0.\overline{142857}.

(d) 0.\overline{6} is equivalent to 2/3.

Step-by-step explanation:

The simplify the given numbers

The given number is

0.0\overline{5}

It can be written as

0.0\overline{5}=0.0555..

\frac{1}{18}=0.0555..

It means 0.0\overline{5} is equivalent to 1/18.

(b)

The given number is

\sqrt{0.25}

It can be written as

\sqrt{0.25}=0.5

It means 0.5 is equivalent to \sqrt{0.25}.

(c)

The given number is

\frac{1}{7}

It can be written as

\frac{1}{7}=0.142857142857=0.\overline{142857}

It means 1/7 is equivalent to 0.\overline{142857}.

(d)

The given number is

0.\overline{6}

It can be written as

0.\overline{6}=\frac{6}{10-1}

0.\overline{6}=\frac{6}{9}

0.\overline{6}=\frac{2}{3}

It means 0.\overline{6} is equivalent to 2/3.

inn [45]3 years ago
6 0
0.6 repeating is 2/3
The square root of 0.25 is 0.5
1/7 is 0.142857 repeating
1/18 is 0.05 repeating
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