0
Add your answer:
Earn +20 pts
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).
Show that the set of all real numbers is an abelian group with respect to addition?
To show that the set of all real numbers is an abelian group with respect to addition, we need to verify the group properties: Closure: For any two real numbers a and b, their sum a + b is also a real number. Associativity: Addition of real numbers is associative, meaning (a + b) + c = a + (b + c) for all real numbers a, b, and c. Identity element: The real number 0 serves as the identity element since a + 0 = a for all real numbers a. Inverse element: For every real number a, its additive inverse -a exists such that a + (-a) = 0. Commutativity: Addition of real numbers is commutative, meaning a + b = b + a for all real numbers a and b. Since the set of real numbers satisfies all these properties, it is indeed an abelian group with respect to addition.
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.
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 confuse the complex numbers with the pure imaginary numbers. Every real number is a complex number and every pure imaginary number is a complex number also.
All whole numbers greater than 0 are also called the integers?
All whole numbers greater than 0 are also called the __:)__________ integers. positive
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.
