Question

0.01001000100001...,Given real number is expressed in decimal form. Find whether they are rational or not. If rational, express them in the form p/q. Comment on factors of q.

Answer 1

REAL NUMBERS :

a number which is either rational or irrational is called a real number.

RATIONAL NUMBERS :

A number that can be expressed as p/q , where p,q are Integers and q≠0 is called a rational number.

IRRATIONAL NUMBERS :

A number that cannot be expressed as p/q , where p,q are Integers and q≠0 is called a irrational number.

NON TERMINATING NON REPEATING DECIMAL EXPANSION :

The number which neither terminates nor repeat the particular number in the process of division , is said to be a non terminating non repeating decimal expansion. These numbers are called irrational numbers.

SOLUTION :

Decimal expansion 0.01001000100001…. is non terminating and non recurring.

Hence,0.01001000100001… it is an irrational number.

HOPE THIS ANSWER WILL HELP YOU...

Answer 2

Hi ,

0.01001000100001.... is not a rational

number .

Since the decimal part is not recurring

and non - terminating decimal .

So , the given number is irrational

number .

I hope this helps you.

: )