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Question

All decimal numbers are real numbers or integers ?

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Solution

Answer :
We know :

Rational number can be expressed as pq , Where q 0 . Or have decimal expansion terminating or non terminating but repeating .
So,

6.5 , 2.333333 ... are rational numbers but 2.3246873264913.... is not a rational number . ( But all are decimals numbers )

And

Irrational numbers have non terminating and non repeating decimal expansion .

So,
2.3246873264913.... is a irrational number but 6.5 , 2.333333 ... are not irrational numbers . ( But all are decimals numbers )


Integers : A number with no fractional part. , So in integers we do not have any type of decimal numbers .


Real numbers : All rational and irrational numbers are collectively known as real numbers

So,

We can say , All decimals numbers are real numbers .

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