Question

How many natural numbers lie between 12² and 13²

Answer 1

Hey mate.. here is ur answer..

Answer:

24 natural numbers lie between 12^2 and 13^2.

Step-by-step explanation:

U can solve this question by few simple methods,here they are....

1st Method: Take out squares of 12 and 13..U will get 144 and 169 respectively.

Subtract 169 from 144,u will get 25,then subtract 1 from 25..so.. u will get 24 that as the final answer..

= (13^2 - 12^2) - 1

= (169 - 144) - 1

= 25 - 1

= 24

Hence, 24 natural numbers lie between 12^2 and 13^2.

2nd Method: This method is more simpler, u have to just multiply the smallest number by 2..So.. in this question smallest number is 12..so.. 12 multiplied by 2..U will get 24,as a final answer..

= 2n (here, small 'n' denotes the smallest number)

= 2×12

= 24

Hence, 24 natural numbers lie between 12^2 and 13^2.

I hope it will help u..

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Answer 2

Solution :-

→ 12² = 144

→ 13² = 169

So, we have to find how many natural numbers lie between 144 and 169 .

We know that,

• Natural numbers starts from 1 and goes upto positive infinity .
• Natural numbers between a and b are = (b - a - 1) where b > a .

So , let a = 144 and b = 169 .

then,

→ Whole numbers between 144 and 169 = (b - a - 1)

→ Whole numbers between 144 and 169 = (169 - 144 - 1)

→ Whole numbers between 144 and 169 = 169 - 145

→ Whole numbers between 144 and 169 = 24 (Ans.)

Hence, there are 24 natural numbers lies between 12² and 13² .

Learn more :-

https://brainly.in/question/26012052