Which Property Is Shown By 5+2=2+5?

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Oddman Profile
Oddman answered
An operation for which the commutative property holds is one that allows the operands to be in any order.
The commutative property holds for addition of real numbers: 5+2 = 2+5.
The commutative property does not hold for exponentiation: 5^2 ≠ 2^5.
(52 is 25, 25 is 32.)

An operation exhibits the identity property if performing the operation causes no change. Multiplication by 1 is an identity operation. 6*1 = 6
Addition of 0 is an identity operation. 5 + 0 = 5

A "binary" operation exhibits the associative property if a sequence of such operations can be performed on any pairs of operands. For example, "+" is a binary operator: One that has two operands. It has a "left" operand and a "right" operand. If we want to do 1+3+5, we can do it as (1+3)+5 or as 1+(3+5). Because of the commutative property, we can also rearrange the operands so we can do 3+(1+5).

The distributive property of multiplication over addition lets us write a(b+c) = ab + ac.

Anonymous Profile
Anonymous answered
Commutative property
Anonymous Profile
Anonymous answered
Associative property

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