Question

Which expression illustrates the associative property of addition?

(3 + 19) – 12 = (3 + 12) – 19

3 + (19 – 12) = 3 + (19 + 12)

(3 + 19) – 12 = 3 + (19 – 12)

3 + (19 –12) = 3 – (19 + 12)

Answer 1

C:(3+9)-12=3+(19-12)

Explanation:

We are given that some options

We have to find that which expression illustrate the associative property of addition

Associative property of addition:

Let a, b and c are integers then

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

a=3 ,b=19,c=-12

(3+19)-12=3+(19+(-12))

(3+9)-12=3+(19-12)

Hence, option C is true.

Answer 2

Answer: THIRD OPTION.

Explanation:

The Associative property of addition states that when three or more numbers are added, it does not matter how they are grouped, the sum is the same. Then:

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

Based on this and having the expression
`3 + 19- 12`, we can apply the Associative property as following:

`(3 + 19) - 12 = 3 + (19 - 12)`

Therefore, the expression that illustrates the Associative property of addition is the one shown in the Third option.