Question

HELP PLEASE!! Calculators cannot display repeating decimals. Calculators always round.

Answer 1

Answer:

1/9= 0.11111 ----> Exact

7/9= 0.77778----> Equivalent

9/10= 0.90000----> Exact

Answer 2

Answer:

a.No

b.No

c.Yes

Step-by-step explanation:

a.We are given that a fraction number

$\frac{1}{9}$

We have to find that is exact decimal  or not.

Calculator display for $\frac{1}{9}=0.11111$

It is not an exact decimal equivalent.

$\frac{1}{9}=0.11111$

A fraction is an exact decimal when the denominator can be expressed as $2^n\cdot 5^m$.

9 cannot be expressed as $2^n\cdot 5^m$

Hence, $\frac{1}{9}$ is not an exact decimal equivalent.

b.$\frac{7}{9}$

Calculator display for $\frac{7}{9}=0.77778$

It is not an exact decimal equivalent because the denominator of given fraction is 9 which can not be expressed as $2^n\cdot 5^m$.

Hence, it is not an exact decimal equivalent.

c.$\frac{9}{10}$

Calculator display for $\frac{9}{10}=0.9$

10=$2\cdot 5$

It is an exact decimal equivalent because the denominator 10 can be expressed as $2\cdot 5$.

Hence, the given decimal is an exact decimal equivalent.