Question

Which statement shows that 5.78 is a rational number?

A. 5.78=5.787878
B. 5.78=5.78
C. 5.78=5 26/45
D. 5.78=5 26/33

Answer 1

B

Explanation:

because 5.78 can be written as a fraction:- 5 78/100 or 5 39/50

C and D do not equate to 5.78

Answer 2

A.
`5.78=5.787878`

Explanation:

We have been given a number 5.78. We are asked to choose the correct statement which shows that 5.78 is a rational number.

Upon looking at our given choices, we can see that only option A is the correct choice as it has repeating digits (78) after decimal.

We know that a number with repeating decimals can be written as a fraction, therefore, option A is the correct choice.