Is 0 a real integer?

Number Theory Level 1

Which of the following best describes the number 0?

A. Integer (but not a real number)
B. Real number (but not an integer)
C. Both an integer and a real number
D. Neither an integer nor a real number

D B A C

2 solutions

Rishabh Jain
Jan 14, 2016

0 is an integer that is neither $negative$ nor $positive.$ It is $non negative$ and $non positive$ as well. Also the set of integers is a subset of set of real numbers, hence 0 is real.

But, is it real? Or is it not real?

Calvin Lin Staff - 5 years, 5 months ago

Edited.....

Rishabh Jain - 5 years, 5 months ago

Great thanks!

Calvin Lin Staff - 5 years, 5 months ago

Atul Shivam
Jan 14, 2016

Integers are the $\text{whole numbers, negative whole numbers, and zero}$ . For example, $43434235, 1228, 22, 0, -2218,$ and $-30350$ are integers, but numbers like $1/2, 4.132, 2.5, π,$ and $-9.90$ are not. We can say that an integer is in the set: $..3,-2,-1,0,1,2,3,..$ (the three dots mean you keep going in both directions.)

So we can conclude that $0$ is an integer, but integer is itself subset of real number so the correct answer is $\boxed{both}$

Is 0 a real integer?

2 solutions

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