Question

Which expressions are equivalent to (4⋅a)⋅2 ?

Drag and drop the equivalent expressions into the box.

4⋅(a⋅2)

2⋅(4⋅a)

4⋅2⋅a⋅2

8a

4⋅2+a⋅2

Answer 1

4⋅(a⋅2)

2⋅(4⋅a)

8a

Explanation:

(4⋅a)⋅2

4⋅(a⋅2) This is the same by the associative property of multiplication

2⋅(4⋅a) This is the same by the associative property of multiplication and the communicative property of multiplication

4⋅2⋅a⋅2 This brings in an extra 2 so it is not the same.

8a 4*2 = 8 so this is the same

4⋅2+a⋅2 This is the not the same 8+2a is not the same as 8a