Question

Which number produces an rational number when multiplied by 1/5

Answer 1

Answer with explanation:

Rational numbers are those numbers which can be written in the form of $\frac{a}{b}$ , where , b≠0.

Rational number can be written in the following way:

  Integers + Terminating Decimal + Non terminating Repeating Decimal

When you will look at , fraction $\frac{1}{5}$, it is terminating Decimal.

So, apart from any irrational number which is non terminating non repeating , if you multiply  $\frac{1}{5}$, with any number on the number line , that is any rational number ,because product of two rational is always a rational ,you will get a rational number.

Answer 2

Any rational number will satisfy the situation.