Question

The number 0.737337333….. is rational or irrational

Answer 1

Step-by-step explanation:

Given that: The number 0.737337333...

To find:It is rational or irrational

Solution:

We know that rational numbers in their Decimal expansion has two forms

1) Terminating Decimal Expansion

2) Non-terminating recurring decimal expansion

Otherwise the number is irrational.

And the given number is not in both the above written forms

Reason: Three dots after a number represents number is non-terminating,

See the pattern,pattern is not recurring.

Thus,

0.737337333... is an irrational numbers.

Hope it helps you

Answer 2

The number 0.737337333….. is irrational.

The given decimal is non terminating and non-repeating so it is an irrational number.

• Irrational numbers are the numbers that cannot be represented in p/q form
• Rational numbers are the numbers that can be represented in p/q form where p and q are the integers and q is not equal to 0.

The decimal of the rational numbers is repeating and terminating.

Some of the rational numbers are: 2.5, 3.333, 6.275