Question

Please help!!! which of these illustrates the associative property of multiplication?​

Answer 1

The correct answer choice is B.

Explanation:

The digits should still be in order, so A is incorrect. 6 * 91 does not even equal 69 * 1!

B shows that be can multiply 6 * 9 * 1 in any order. This means we can place a pair of parentheses around any of these numbers and the answer will still be the same.

C is incorrect. We want an equation that helps give us a better understanding of MULTIPLICATION, not ADDITION. The equation is also false.

Finally, D illustrates the commutative property of multiplication- you can multiply your numbers in any order and it will still have the same value. Put simply, it's incorrect.

Let me know if you need more elaboration!

Answer 2

B

Explanation:

The association property of multiplication states that if we have three numbers such as:

`a\cdot b\cdot c`

Then the order of parentheses will not matter. In other words:

`(a\cdot b)\cdot c=a\cdot (b\cdot c)`

For instance:

`(3\cdot4)\cdot5=3\cdot(4\cdot5)`

For the choices, it must have at least three terms. Thus, eliminate A.

It must also have parentheses. Eliminate D.

Choice C represents the distributive property, where you distribute a factor into the expression.

Thus, the correct answer is choice B.

And as previously mentioned, the order of the parentheses does not make the product any different.

`6*(9*1)=6*(9)=54\\(6*9)*1=(54)*1=54`