What is the set of numbers to which 56/7567 belong?

1 Answer
Shwetank Mauria
Nov 15, 2016

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

Explanation:

Although 56/7567 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=8567=8×71×7=8×71×7=81=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.

Related questions
See all questions in Rational and Irrational Numbers
Impact of this question
7686 views around the world
You can reuse this answer
Creative Commons License