Question

Match the rational numbers with their equivalent forms.

Answer 1

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

Answer 2

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

(b) 0.5 is equivalent to
`√(0.25)`.

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

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

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..`

`(1)/(18)=0.0555..`

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

(b)

The given number is

`√(0.25)`

It can be written as

`√(0.25)=0.5`

It means 0.5 is equivalent to
`√(0.25)`.

(c)

The given number is

`(1)/(7)`

It can be written as

`(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}=(6)/(10-1)`

`0.\overline{6}=(6)/(9)`

`0.\overline{6}=(2)/(3)`

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