Select the property that allows the left member of the equation to be changed to the right member. b + a = a + b commutative

Select the property that allows the left member of the equation to be changed to the right member. b + a = a + b commutative - addition distributive associative - multiplication symmetric commutative - multiplication associative - addition identity - addition

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This Post Has 10 Comments

  1. Commutative - addition.

    You're switching a and b to get the same answer. It works with Multiplication too, as you can tell!

  2.  The correct option is

    (7) Identity - addition.

    Step-by-step explanation:  We are given to select the property that allows the left member of the equation to be changed to the right member.

    8 + 0 = 8.

    We now that

    if a is a real number, then the equation a + 0 = a is the additive identity.

    Putting a = 8, we get

    [tex]8+0=8.[/tex]

    Thus, the required property is additive identity.

    Option (7) is CORRECT.

  3. commutative - addition property

    Step-by-step explanation:

    Given : b + a = a + b

    To find : Select the property that allows the left member of the equation to be changed to the right member.

    Solution : We have given  b + a = a + b

    By the commutative - addition property : x + y = y +x

    Example : 4 +5 = 5 +4

                       9 = 9.

    If we inter change the left member of equation to the right member of the equation it will not affect.

    Hence it is  shows the commutative - addition property.

    Therefore,commutative - addition property

  4. 8 + 0 = 8: identity- addition (any number + 0= that number) 
    a(b + c) = ab + ac: distributive (multiplying a on the left-hand side of the equation by the numbers in parenthesis gives you the right-hand side of the equation) 
    b + a = a + b: commutative- addition (numbers can be added in any order and still produce the same answer) 
    If 2 = x, then x = 2: symmetric (if a = b then b = a) 
    x(10) to be written 10x: commutative- multiplication (numbers can be multiplied in any order and still produce the same result)

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