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# 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

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