Question

Which expression illustrates the associative property of addition?

A. (3 + 19) – 12 = (3 + 12) – 19

B. 3 + (19 – 12) = 3 + (19 + 12) (Not B)

C. (3 + 19) – 12 = 3 + (19 – 12)

D. 3 + (19 –12) = 3 – (19 + 12)

Answer 1

The associative property of addition states that (a + b) + c = a + (b + c)

Basically, we can move around the parentheses.

The only option that fits this description is C.

Answer 2

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

Explanation:

We have to find an expression which illustrate the associative property.

We know that associative property of addition of three numbers a, b and c

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

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

(3+19)-12=10

(3+12)-19=-4

It is not associative property of addition because both sides are not equal.

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

3+(19-12)=10

3+(19+12)=34

It is false because both sides are not equal .

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

(3+19)-12=10

3+(19-12)=10

It is illustrate the associative property of addition.

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

3+(19-12)=10

3-(19+12)=-28

Both sides are not equal . Hence , it is false.