Question

Which of the following are rational numbers? Select all correct answers.Select all that apply:0.7171171117 ...0.0505505550...0.6262626262...4.8Square root of 133

Answer 1

Solution:

Remember that a rational number is a number that is expressed as the ratio of two integers. According to this, note that:

$0.71711711=\frac{398}{555}$

but, It is an irrational number because it is not ending and is not repetitive.

$0.0505505550\text{ =}\frac{10110111}{200000000}$

and

$0.626262626262=\frac{101009971}{161290115}$

and

$4.8=\frac{24}{5}$

on the other hand:

$3\text{ = }\frac{3}{1}$