Question

Classify the following as rational or irrational numbers? $0.73457456$

Answer 1

Definitions:

• Rational number:

A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.

• Irrational number:

An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio.

• Terminating Decimal numbers:

A terminating decimal number is a decimal number if the digits after the decimal point terminate or are finite.

Given data:

Given number is $0.73457456$

Explanation:

1. $0.73457456$can be expressed as $\frac{73457456}{100000000}$
2. Which of the form$\frac{p}{q}$, is a ratio of two integers.
3. Hence, $0.73457456$is a rational number.

Final answer:

Hence, $0.73457456$is a rational number.