Q61 of 142 Page 88

State whether the statements are true (T) or false (F).
There are 200 natural numbers between 100² and 101².

Given: natural numbers between 100² and 101²

As we know, natural numbers between a and b = b-a-1

then natural numbers between 100² and 101² = 101² – 100² – 1

= (101² – 100²)– 1

= (101 + 100)(101-100)-1

= (201)(1)-1

= 201 -1 = 200

Hence, the given statement is true.

State whether the statements are true (T) or false (F).

The cube root of 8000 is 200.

State whether the statements are true (T) or false (F).

There are five perfect cubes between 1 and 100.

State whether the statements are true (T) or false (F).

The sum of first n odd natural numbers is n².

State whether the statements are true (T) or false (F).

1000 is a perfect square.

State whether the statements are true (T) or false (F).There are 200 natural numbers between 1002 and 1012.