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# 0 belongs to what family of real numbers?

Updated: 4/28/2022 Wiki User

14y ago

0 belongs to the reals. It is a member of the irrationals, the rationals. It is also a member of the integers;

It is a member (the identity) of the group of even integers, 3*integers, 4*integers etc with respect to addition. Wiki User

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Q: 0 belongs to what family of real numbers?
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### Which subsets of the real number system contain the number 0?

Any set that contains it! It belongs to {0}, or {45, sqrt(2), 0, pi, -3/7}, or all whole numbers between -43 and 53,or multiples of 5, or integers,or rational numbers, or rational numbers smaller than 6.3,or real numbers,or complex numbers, etc.

### Is 0 imaginary?

0 is a real number because it is part of the whole, integer, and rational number family which is in the section under real numbers (not imaginary).

### Which subset does the number 0 belong to?

To any set that contains it! It belongs to {0}, or {45, 0, sqrt(2), pi, -3/7}, or {0, bananas, France, cold} or all whole numbers between -43 and 53, or multiples of 5, or integers, or rational numbers, or real numbers, or complex numbers, etc.

### What set of numbers does 0.25 belong?

To any set that contains it! It belongs to {0.25}, or {45, sqrt(2), pi, -3/7, 0.25}, or multiples of 0.05, or fractions between 0 and 1, or reciprocals, or rational numbers, or real numbers, or complex numbers, etc.

### Can 0 be represented as 0 over a where a is any rational number?

Yes. 0 divided by any real number (including rational numbers, which are a subset of the real numbers) is 0.

### What set does 0 belong to?

The mathematically correct answer is: any set that contains it. For example, it belongs to the set of all numbers between -3 and +2, the set {0, -3, 8/13, sqrt(97), pi}, the set {0}, the set of the roots of x3 - x2 + x = 0, the set of all integers, the set of all rational numbers, the set of all real numbers, the set of all complex numbers.

### Can you prove the 0 is a real number?

Yes. 0 is an integer and all integers are real numbers.

### What is the real real number please tell you?

0 to 9 are the real numbers.

### The statement 2 plus 0 equals 2 is an example of the use of which property of real numbers?

The set of real numbers contains an additive identity - which is denoted by zero - such that, for all real numbers, x, x + 0 = 0 + x = x.

### Are real numbers real?

Yes. :S real numbers are real numbers. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

### What is zero and constituents on zero in mathematics?

Zero is an integer which belongs to the sets of rational, real and complex numbers. It is the additive identity which means that, for any other number n, n + 0 = n = 0 + n. There is no such thing as a constituent on zero.

### Is 0 an example of a rational number that is not a real number?

No. All rational numbers are real. Rational numbers are numbers that can be written as a fraction.