Question

What is the set of numbers to which `56/7` belong?

Answer 1

It is a natural number, but it also belongs to whole number, integers fractions, rational numbers and real numbers.

Explanation:

Although `56/7` is expressed as fraction, as numerator is completely divisible by denominator, the number can be reduced a follows

`56/7=(8xx7)/(1xx7)=(8xxcancel7)/(1xxcancel7)=8/1=8`

Hence, one can say that

the number can be said to belong to Natural numbers , the set of numbers naturally occurring i.e. `{1,2,3,4,5,6,...............}`

the number can also be said to belong to set of Whole numbers, which is actually `0` added to natural numbers i.e. `{0,1,2,3,4,5,6,...............}`.

We can also say it belongs to set of integers `{0,+-1,+-2,+-3,+-4,+-5,+-6,...............}`

As it is written (or can be written as a fraction say `56/7` or `24/3` etc., we can also say that it belongs to set of fractions and set of rational numbers .

It can be represented on real number line too, `8` units to the right of `0` and hence it is a real number too.