Question

Which of the following shows the Commutative Property of Multiplication?(3a)(10b) = (10b)(3a)3(a + b) = 3a + 3b(ab)c = a(bc)a + b = b + a

Answer 1

The commutative property of multiplication states that:

`c\cdot d=d\cdot c,`

for every c and d.

Now, if choose:

• c = 3a,

,

• d = 10b.

Replacing c and d in the expression above, we have:

`(3a)\cdot(10b)=(10b)\cdot(3a)\text{.}`

We conclude that (3a)(10b) = (10b)(3a) shows the conmmutative property of multiplication.

Answer

(3a)(10b) = (10b)(3a)