The value of the expression $101^{2}$ - $100^{2}$ is ___.

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Solution

The given expression is $101^{2}$ - $100^{2}$

Now from identity, $(n + 1)^{2}$ - $(n)^{2}$ = (n+1) + n

So, $101^{2}$ - $100^{2}$ = 101 + 100 = 201

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Question 61

State whether the following statement is true or false:

There are 200 natural numbers between $100^{2}$ and $101^{2}$ .

Question 61

State whether the following statement is true or false:

There are 200 natural numbers between $100^{2}$ and $101^{2}$ .

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