There are 21 natural numbers between 10² and 11². State whether the statement is true or false.

Solution:

Given, there are 21 natural numbers between 10² and 11².

We have to determine if the given statement is true or false.

Number obtained when a number is multiplied by itself is called the square of the number.

if m = n², then m is a perfect square where m and n are natural numbers.

10² = 10 × 10 = 100

11² = 11 × 11 = 121

Number of natural numbers between 121 and 100 = 121 - 100 - 1

= 21 - 1

= 20

Therefore, there are 20 natural numbers between 10² and 11².

✦ Try This: There are 100 natural numbers between 11² and 15². State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Sample Problem 17

There are 21 natural numbers between 10² and 11². State whether the statement is true or false

Summary:

The given statement, ”There are 21 natural numbers between 10² and 11²” is false

☛ Related Questions:

• The sum of the first 7 odd natural numbers is 49. State whether the statement is true or false
• The square root of a perfect square of n digits will have n/2 digits if n is even. State whether the . . . .
• Express 36 as a sum of successive odd natural numbers