Question

The number 1.101001000100001... is
(a) a natural number
(b) a whole number
(c) a rational number
(d) an irrational number

Answer 1

Dear Brainly User,

It is an irrational number.

Answer 2

Given,

• The number 1.101001000100001__ is given.

To find,

• We have to find that the given number belongs to which given option.

Solution.

We can simply find whether the number 1.101001000100001 is a natural number, a whole number, a rational number, or an irrational number by observing its decimal expansion.

As we know that the natural numbers start from 1,2,3,__ so on, whole numbers comprise 0 and all the natural numbers, a rational number have terminating and repeating decimal expansions, but an irrational number has a non-terminating and non-repeating decimal expansion.

In the number 1.101001000100001__ the decimal expansion is non-terminating and non-repeating.

So, the number is an irrational number.

Hence, the number 1.10100100010000__ is (d) an irrational number.