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Why are the set of real numbers is not commuted under subtraction and addition?
Real numbers are commutative (if that is what the question means) under addition. Subtraction is a binary operation defined so that it is not commutative.
Why are natural numbers not under addition?
Natural numbers are actually closed under addition. If you add any two if them, the result will always be another natural number.
Is the set of positive integers a commutative group under the operation of addition?
No. It is not a group.
Are rational number commutative under subtraction and division?
No.
Is the set of natural numbers closed under addition?
Yes, when you add any group of natural numbers, the sum will also be a natural number.
Which real number is not commutative?
All real numbers are commutative under addition and multiplication.
Why are the set of real numbers is not commuted under subtraction and addition?
Real numbers are commutative (if that is what the question means) under addition. Subtraction is a binary operation defined so that it is not commutative.
What are the principle or properties of real number under addition and multiplication?
There are four properties of a real number under addition and multiplication. These properties are used to aid in solving algebraic problems. They are Commutative, Associative, Distributive and Identity.
Why are natural numbers not under addition?
Natural numbers are actually closed under addition. If you add any two if them, the result will always be another natural number.
Is the set of positive integers a commutative group under the operation of addition?
No. It is not a group.
Are rational number commutative under subtraction and division?
No.
Is the set of natural numbers closed under addition?
Yes, when you add any group of natural numbers, the sum will also be a natural number.
What is the number of protons plus the number of neutrons in an atom always a whole number?
The two are counts and so natural numbers. The set of natural numbers is closed under addition.
How you should know about whole number?
They form a commutative ring in which the primary operation is addition and the secondary operation is multiplication. However, it is not a field because it is not closed under division by a non-zero element.
Explain if the commutative property of addition applies when you add two negative integers?
The commutative property holds for all numbers under addition, regardless of whether they are positive or negative - the sign of the number stays with the number, for example: -2 + 5 = (-2) + 5 = 5 + (-2) = 5 + -2 -2 + -5 = (-2) + (-5) = (-5) + (-2) = -5 + -2 Subtraction is not commutative, but when subtraction is taken as adding the negative of the second number, the commutative property of addition holds, for example: 5 - 2 ≠ 2 - 5 but: 5 - 2 = 5 + -2 = 5 + (-2) = (-2) + 5 = -2 + 5
Are natural numbers closed under addition?
Yes, because naturals are counting numbers, {1,2,3...} and any natural number added by another natural number has to be a natural. Think of a number line, and your adding the natural numbers. The sum has to be natural, so yes it is closed.
What property does the equation 19 plus 11 equals 11 plus 19 settle in?
The Abelian (commutative) property of integers under addition.
