Question

Check all of the expressions that are equal to the one below.6. (9+2)O A. 9.6+9.2B. (6.9)+2O C. (2 +9) •6O D. 6.9+2.6

Answer 1

Given:

`6.(9+2)`

To know the expressions that are equal to the one given, we use the following properties.

1) Commutative property of addition: The commutative property of addition says that changing the order of addends does not change the sum. This means we can add in any order.

`a+b=b+a`

Hence,

`(9+2)=(2+9)`

Also,

2) Commutative property of multiplication: Commutative property of multiplication says changing the order of factors does not change the product. This means we can multiply in any order.

`a* b=b* a`

Hence,

`6.(9+2)=(2+9).6`

Therefore, option C is correct.

3) Distributive property of multiplication: The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

Hence,

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

Thus,

`6.(9+2)=6.9+2.6`

Therefore, option D is also correct

Hence, options C and D are equal to the expression 6.(9+2)