Question

how many natural numbers lie between 52 square and 53 square

Answer 1

$52^2=2704$

$53^2=2809$

$2809-2704$

$=105-1$

$104$

natural numbers:

all counting numbers starting from 1 to infinity are called natural numbers..

Answer 2

Answer:

104

Step-by-step explanation:

For two natural numbers m and n,

No. of natural numbers lying between them: ( m - n ) - 1, where m > n

We subtract 1 because m is not to be included.

Thus,

No. of natural numbers between 52 ^2 and 53 ^2:

( 53 ^2 - 52 ^2 ) -1

= ( 53 + 52 ) ( 53 - 52 ) - 1

As a ^2 - b ^2 = ( a + b ) ( a - b )

= ( 105 ) ( 1 ) - 1

= 105 - 1

= 104