Question

How many natural numbers are there between 9² and 11²?

Answer 1

Answer:

There are 39 natural numbers between $9^2\ and \ 11^2$

Step-by-step explanation:

Total number of natural numbers between  $n^2\ and\ (n+1)^2\ is\ '2n'$

Natural numbers between $9^2 \ and\ 11^2$

=2×9

=18

Natural numbers between $10^2\ and \ 11^2$

=2×10

=20

Total natural`number between square of 9 and square of 11 -

Starting from 82 and up to 120. As 81 and 121 both will not be included in these natural numbers. The natural numbers are -

82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120

Total natural numbers between $9^2 and\ 11^2$

=18+1+20=39

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Answer 2

Answer:

There are 39 natural numbers between 9² and 11²

Step-by-step explanation:

Given:

Two natural numbers 9² and 11²

Find:

Number of natural numbers between 9² and 11²

Solution:

Step 1:

Find the answer to 9² and 11²

9² = 9 × 9 = 81

11² = 11 × 11 = 121

Step 2:

Number of natural numbers between 81 and 121 = 121 - 81 - 1

                                                                                = 39

That is, there are 39 natural numbers between 9² and 11²

What are Natural Numbers?

Natural numbers are the counting numbers that start from 1 and end at infinity. They do not include 0, negative numbers, or decimal numbers. Natural numbers are denoted by N.

N ⇒ 1, 2, 3, 4, 5, 6, ...............

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