Answer:
a.No
b.No
c.Yes
Step-by-step explanation:
a.We are given that a fraction number
[tex]\frac{1}{9}[/tex]
We have to find that is exact decimal or not.
Calculator display for [tex]\frac{1}{9}=0.11111[/tex]
It is not an exact decimal equivalent.
[tex]\frac{1}{9}=0.11111[/tex]
A fraction is an exact decimal when the denominator can be expressed as [tex]2^n\cdot 5^m[/tex].
9 cannot be expressed as [tex]2^n\cdot 5^m[/tex]
Hence, [tex]\frac{1}{9}[/tex] is not an exact decimal equivalent.
b.[tex]\frac{7}{9}[/tex]
Calculator display for [tex]\frac{7}{9}=0.77778[/tex]
It is not an exact decimal equivalent because the denominator of given fraction is 9 which can not be expressed as [tex]2^n\cdot 5^m[/tex].
Hence, it is not an exact decimal equivalent.
c.[tex]\frac{9}{10}[/tex]
Calculator display for [tex]\frac{9}{10}=0.9[/tex]
10=[tex]2\cdot 5[/tex]
It is an exact decimal equivalent because the denominator 10 can be expressed as [tex]2\cdot 5[/tex].
Hence, the given decimal is an exact decimal equivalent.
