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State true or false.

There are 200 natural numbers between 100² and 101².

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True

False

answer is B.

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Detailed Solution

We have to check if there are 200 natural numbers between 100² and 101².
We know that multiplying a number by itself twice is the square of that number.
So, the square of 100 and 101 will be calculated as:

1002 = 10000 1012 = 10201

Also, the difference between 10201 and 10000 is:

10201 − 10000 = 201

So, there are 201 natural numbers between

and

1012

.
Thus the given statement is false.
Therefore, option 2 is correct.

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