Category: Life

# what is 0 in the real number system ?

Asked By: luobo1689 | Last Updated: 2022-05-14

what is 0 in the real number system？

Is Zero a Real or an Imaginary Number? Zero is considered as both a real and an imaginary number. As we know, imaginary numbers are the square root of non-positive real numbers. And since 0 is also a non-positive number, therefore it fulfils the criteria of the imaginary number.

Long,Is 0 a rational number?

Yes, 0 is a rational number. Since we know, a rational number can be expressed as p/q, where p and q are integers and q is not equal to zero. Thus, we can express 0 as p/q, where p is equal to zero and q is an integer.

Then,Is 0 a real natural number?

'No,' 0 is not a Natural number. Natural numbers, as we know, are positive integers that span from 1 to infinity.

Furthermore,What type of number is 0?

Answer: 0 is a rational number, whole number, integer, and a real number.

Beside above,Is zero 0 a rational number or an irrational number give reason?

Let b = 0 and then we get a+(0+c)=(a+0)+c , hence both are equal so zero satisfies this property also. And from this we can say that zero is a rational number. Note: One should keep in mind the properties of rational numbers to solve this question and the definition of rational numbers is also important.

### Why 0 is a whole number?

0 is a whole number because the set of whole numbers starts from the number 0 itself.

### Is 0 a counting number?

Therefore, it is clear that 0 is not a counting number but is a whole number. Every counting starts with the number 1 and not 0 and hence, 0 shall not be included in the counting numbers.

### What subset does 0 belong to?

IntegersIntegers – includes zero, the set of natural numbers, commonly called the positive integers and the opposite of the natural numbers.

### How do you write a zero as a rational number?

The number zero can be written as 0 ÷ any non-zero integer. For example, the rational numbers 0/1 and 0/(-2) are equal to 0. This is in the form of p/q, where p and q are integers and q ≠ 0.

### Is 0 a rational number if yes give two examples?

Yes, Zero is a Rational Number and you will have clarity on it by the end. As we can write the Integer 0 in any of the below forms. For instance, 0/1, 0/-1, 0/2, 0/-2, 0/3, 0/-3, 0/4, 0/-4 ….. In other words, we can express as 0 = 0/b where b is a non zero integer.

### Why is zero not a counting number?

No, 0 is NOT a natural number because natural numbers are counting numbers. For counting any number of objects, we start counting from 1 and not from 0.