Question

There are $200$ natural numbers between ${100}^2$ and ${101}^2$. State whether the statement is true (T) or false (F).

• A. True
• B. False

Answer 1

The correct option is A True

To find the number of natural numbers between ${100}^2$ and ${101}^2$.

To find the number of natural numbers between ${100}^2$ and ${101}^2$any two numbers following steps are followed:

1. Subtract the two given numbers:

.$\left({101}^2-{100}^2\right)$

2. After getting the difference between the two numbers we need to subtract $1$ from the obtained difference:

$(101+100)(101-100)-1$

3. The number obtained after subtracting $1$ is the actual numbers lying between the two given numbers:

$201-1=200$

Thus, there are $200$ natural numbers between ${100}^2$ and ${101}^2$.

Hence, the given statement is true.