# 0 belongs to what family of real numbers?

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.

### 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). Read More

### 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. Read More

### 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. Read More

### 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. Read More

### Are real numbers real?

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

### 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. Read More

### 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. Read More

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

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

### 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. Read More

### 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. Read More

### 5 numbers between 0 and 1?

There are an almost infinite number of real numbers between 0 and 1. Read More

### How many numbers have no reciprocal?

In the context of real numbers, only the number 0. Read More

### Can the domain be all real numbers except 0 or only all the real numbers?

It could be either depending on the function that you have. Read More

### What is the action of real number?

A real answer is a number that consists of these numbers: 1,2,3,4,5,6,7,8,9 or 0) Read More

### Do real numbers have a multiplicative inverse?

All real numbers, except 0, have a multiplicative inverse. For any real x, (x not = 0), there exists a real number y such that x*y = 1. This y is denoted by 1/x. Read More

### Rational and irrational numbers are complex numbers?

Rational and irrational numbers are real numbers. A complex number is represented by a+bi where a and b are real numbers. Zero is a real number therefore any real number is also complex whenever b=0 Read More

### Why is 0 an interesting number?

It is the additive identity for integers, rational numbers, real numbers, complex numbers. Read More

### What is the difference between a set of real numbers and a set of complex numbers?

The set of real numbers is a subset of the set of complex numbers. For the set of complex numbers, given in the form (a + bi), where a and b can be any real number, the number is only a real number, if b = 0. Read More

### How does the set of counting numbers differ from the set of whole numbers?

The set of counting numbers is a proper subset of the whole number. The latter includes negative counting numbers. Also, there is no consensus as to whether 0 belongs to counting numbers or whole numbers. Read More

### What is complement of a set?

The complement of a set refers to everything that is NOT in the set. A "universe" (a set from which elements may be taken) must always be specified (perhaps implicitly). For example, if your "universe" is the real numbers, and the set you are considering is 0 <= x <= 10 (that is, all real numbers between 0 and 10, inclusive), then the complement is all real numbers that are NOT between 0 and 10… Read More

### How can you prove if a and b are real numbers then a plus b-a equals b?

Real numbers are commutative under addition (and subtraction) so a + b - a = a - a + b The set of Real numbers includes an additive identity, 0, such that a - a = 0 so a - a + b = 0 + b The additive identity also has the property that 0 + b = b [= b + 0] so 0 + b = b Read More

### Show that the set of all real numbers is a group with respect to addition?

Closure: The sum of two real numbers is always a real number. Associativity: If a,b ,c are real numbers, then (a+b)+c = a+(b+c) Identity: 0 is the identity element since 0+a=a and a+0=a for any real number a. Inverse: Every real number (a) has an additive inverse (-a) since a + (-a) = 0 Those are the four requirements for a group. Read More

### Is there rational numbers that are not integers?

there are real numbers, natural numbers, and whole numbers that all make up rational numbers Read More

### Is every real number a complex number?

A complex number is a number of the form a + bi, where a and b are real numbers and i is the principal square root of -1. In the special case where b=0, a+0i=a. Hence every real number is also a complex number. And in the special case where a=0, we call those numbers pure imaginary numbers. Note that 0=0+0i, therefore 0 is both a real number and a pure imaginary number. Do not… Read More

### Does set of even counting numbers is well defined?

Yes, except for one thing: mathematicians are not agreed whether 0 belongs to it. Read More

### 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. Read More

### What is number system.how integer and real number are stored in memory explain?

The number system consists of real numbers. Real numbers are further divided into rational numbers and irrational numbers. Rational numbers consist of numbers(1-9) and integers(1.5, 3.7, 70.7, etc.) Irrational numbers are complex numbers(square roots of few numbers) Read More

### Is 1.21 is the smallest decimal?

No, there is no smallest decimal number. Decimal numbers represent real numbers and between any two real numbers there are infinitely many other real numbers. So, there are infinitely many decimal numbers between 0 and your 1.21: each one will be smaller than 1.21 Read More

### Is 1.02 is the smallest decimal?

No, there is no smallest decimal number. Decimal numbers represent real numbers and between any two real numbers there are infinitely many other real numbers. So, there are infinitely many decimal numbers between 0 and your 1.02: each one will be smaller than 1.02 Read More

### What types of numbers are there besides prime and composite?

There are integers such as 0 and 1. Then there are non-integer rational and real numbers. Read More

### Can have two real numbers if the quotient is not real number?

Yes but only if the denominator is 0 (so the quotient is not defined). Read More

### What are Real and Complex numbers?

Real numbers are numbers that you are already familiar with: integers, fractions, and irrational numbers: 1, 2, 0, -5, Â¾, sqrt(2), pi, etc. Next, you need to know about imaginary numbers. These are numbers that, when squared, will give a negative real number. No real number can do that. Now imagine a graphical plane, with the real axis on the horizontal, and the imaginary axis on the vertical. This is called the complex plane, and… Read More

### Is a rational number a real number?

Yes, a rational number is a real number. A rational number is a number that can be written as the quotient of two integers, a/b, where b does not equal 0. Integers are real numbers. The quotient of two real numbers is always a real number. The terms "rational" and "irrational" apply to the real numbers. There is no corresponding concept for any other types of numbers. Read More

### What is Additive identity?

The additive identity for rational, real or complex numbers is 0. Read More

### What are pure imaginary numbers?

complex numbers with no real part if any complex number z can be written a + i b then pure imaginary numbers have a=0 and b not equal to 0 Read More

### Example of properties of real numbers?

examples: 1, 2, 0, -5, sqrt(2), pi etc. real numbers means numbers on the real plane. the opposite of real numbers are imaginary numbers which takes the format of ai, in which the i is the imaginary unit they do not exist on the real plane, but only on the imaginary plane. they can be found by square-rooting a negative number, e.g. sqrt(-4)=2i usually imaginary numbers are used with real numbers, with the format a+bi… Read More

### Let z be a complex number such that Imz 0 Prove that Im1z 0?

If the imaginary part of z is 0, then z is simply a real number and if you multiply by 1 which is the identity in multiplication of real numbers, you of course will still have a real number with imaginary part 0 Read More

### Are negative numbers real numbers?

Yes, any positive or negative number is a real number, including 0. Non real (or imaginary) numbers are the ones that have an "i" or "j" such as j1.5 or 1.5i The imaginary numbers come from expressions like sqrt(-1), its impossible to come up with a real answer so the imaginary one would be 1i or i Read More

### What is a real number?

A real number is a number that can be expressed as a decimal of some form. The integers: -2, -1, 0, 1, 2 The rational numbers: 2 1/2, 3.45, 2/3 The irrational numbers: pi, square root of 5, e, 5.8283851920493809... These are all real numbers. Imaginary numbers: i, 5i, 3i + 2, 4i - 3 These are not real numbers. Read More

### The zero product property states that for all real numbers a and b if a times b equals 0 then?

Either a=0 or b=0 Read More

### What are the compex roots in mathematics?

The complex roots of an equation is any solution to that equation which cannot be expressed in terms of real numbers. For example, the equation 0 = x² + 5 does not have any solution in real numbers. But in complex numbers, it has solutions. Read More

### What is the Domain and Range of y equals the square root of x minus 4?

In the complex field, the domain and range are both the whole of the complex field.If restricted to real numbers, the domain is x >= 4 and y can be all real numbers >= 0 or all real numbers <= 0 [or some zigzagging pattern of that set]. Read More

### What is the difference between real numbers and integers?

A basic answer that is not technically complete but correct as far as it goes: The integers are the natural numbers including 0; 0, 1, 2, 3, 4... along with their negatives. All the numbers in the set {....-3, -2, -1, 0, +1, +2, +3....}. The real numbers are all the numbers, rational and irrational, that can be represented as points along the number line, including numbers that have repeating or infinitely long non-repeating decimal… Read More

### What is a equation that has no solution?

Here are a few: 0 = 1 x = x + 1 (subtract "x" on each side, and you get the previous one!) x2 = -1 (if you want real numbers; however, it has two solutions in the complex numbers) ln x = -1 (same as above: no solution in the real numbers, but it has a solution in the complex numbers) ln x = 0 (no solution, neither in the real numbers, nor in… Read More

### Can a complex number be a pure imaginary number?

Yes. And since Real numbers are a subset of complex numbers, a complex number can also be a pure real. Another Answer Yes, for example: (0 + j5) is a complex number, whose 'real' number is zero. Read More