Commutative property of Multiplication and Addition


 
 
Concept Explanation
 

Commutative property of Multiplication and Addition

Commutative property of Multiplication and Addition:

The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2.

  • Use the Commutative Property to restate "3×4×x" in at least two ways.

  • They want me to move stuff around, not simplify. In other words, my answer should not be "12x"; the answer instead can be any two of the following:

    4 × 3 × x

    4 × x × 3

    3 × x × 4

    x × 3 × 4

    x × 4 × 3

    Sample Questions
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    Question : 1

    Identify the correct expression related to commutative property:

    1. (2 + 3 ) + 4 = 2 + ( 3 + 4 ) = 9 

    2. ( 3 x 10 ) x 4 = 3 x (10 x 4 ) = 120 

    3. (12 - 4 ) -3 = 8 - 3 = 5 

    Right Option : D
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    Explanation
    Question : 2

    Which of the following is an example of commutative property?

    Right Option : C
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    Question : 3

    Identify the properties of the given expression where a, b, c are whole numbers:

    1. (a+b)+ c = a +(b+c) 

     2. a + b = b + a

    Right Option : C
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