Associative

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Show the Associative Property of Addition using

a = 5, b = 9, c = 4

The associative property means
rearranging the parentheses in an expression
will not change the result

(a + b) + c = a + (b + c)

Plug in a = 5, b = 9, and c = 4

(5 + 9) + 4 = 5 + (9 + 4)

Evaluating, we get:

(14) + 4 = 5 + (13)

18 = 18

Summary

Since 18 = 18, we have proven the Associative Property of using the numbers 5, 9, and 4

Show the Associative Property of Multiplication using

a = 5, b = 9, c = 4

The associative property means
rearranging the parentheses in an expression
will not change the result

(a * b) * c = a * (b * c)

Plug in a = 5, b = 9, and c = 4

(5 * 9) * 4 = 5 * (9 * 4)

Evaluating, we get:

(45) * 4 = 5 * (36)

180 = 180

Summary

Since 180 = 180, we have proven the Associative Property of using the numbers 5, 9, and 4

Final Answer

18 = 18
180 = 180