Sunday, March 10

Commutative Math

Commutative Math Introduction:

Commutative math is the property. The commutative is change the order but cannot change the answer. More math problems and theorems are depends on commutative math. The commutative math is simple operations, it is such that addition and multiplication. The following formulas for using the commutative math,

Commutative Math Formulas:

X + Y = Y + X

X .Y = Y. X

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Commutative Math Problems:


Using Math commutative law Example 1:

You can commutative math when you add:

3 + 6 = 6 + 3

9       =      9

Answer is same but the order is different. That is called commutative math.

You can commutative math when you multiply:

2 × 4 = 4 × 2

8      =      8

Answer is same but the order is different. That is called commutative math.

The math Commutative Law of Addition Example 2:

Write an equivalent expression for 8 + 6x

The math Commutative Law is swap of the addition so 6x + 8 would be an equivalent expression.

The math Commutative Law of Multiplication Example 3:

Write and equivalent expression for x (2 + z)

The math Commutative Law is swap of the multiplication so (2 + z) x would be an equivalent expression.

Using Math commutative law Example 4:

You can commutative math when you add:

7 + 3 = 3 + 7

10 = 10

Answer is same but the order is different. That is called commutative math.

You can commutative math when you multiply:

7 × 3 = 3 × 7

21    =    21

Answer is same but the order is different. That is called commutative math.

The math Commutative Law of Addition Example 5:

Write an equivalent expression for 6 + 8x

The math Commutative Law is swap of the addition so 8x + 6 would be an equivalent expression.

The math Commutative Law of Multiplication Example 6:

Write and equivalent expression for y (15 + z)

The math Commutative Law is swap of the multiplication so (15 + z) y would be an equivalent expression.

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Practice Problems for Commutative Math:


Identify which law is being used.

x (yz) = x (zy)

Identify which law is being used.

(x + y) + z = (y + x) + z

Answer key:

Multiplication Law

Addition Law

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