Answer:
(a) [tex]0.0\overline{5}[/tex] is equivalent to 1/18.
(b) 0.5 is equivalent to [tex]\sqrt{0.25}[/tex].
(c) 1/7 is equivalent to [tex]0.\overline{142857}[/tex].
(d) [tex]0.\overline{6}[/tex] is equivalent to 2/3.
Step-by-step explanation:
The simplify the given numbers
The given number is
[tex]0.0\overline{5}[/tex]
It can be written as
[tex]0.0\overline{5}=0.0555..[/tex]
[tex]\frac{1}{18}=0.0555..[/tex]
It means [tex]0.0\overline{5}[/tex] is equivalent to 1/18.
(b)
The given number is
[tex]\sqrt{0.25}[/tex]
It can be written as
[tex]\sqrt{0.25}=0.5[/tex]
It means 0.5 is equivalent to [tex]\sqrt{0.25}[/tex].
(c)
The given number is
[tex]\frac{1}{7}[/tex]
It can be written as
[tex]\frac{1}{7}=0.142857142857=0.\overline{142857}[/tex]
It means 1/7 is equivalent to [tex]0.\overline{142857}[/tex].
(d)
The given number is
[tex]0.\overline{6}[/tex]
It can be written as
[tex]0.\overline{6}=\frac{6}{10-1}[/tex]
[tex]0.\overline{6}=\frac{6}{9}[/tex]
[tex]0.\overline{6}=\frac{2}{3}[/tex]
It means [tex]0.\overline{6}[/tex] is equivalent to 2/3.
