Question

Claudia draws four cards with integers on them -3, -2, 3,0She must choose two of the integers to multiply.A. Which cards can Claudia choose to make the greatest product?B. Which cards can Claudia choose to make the least products.C. Compare the products of -3(-2) to the product of -2(-3)

Answer 1

A.

For multiplication: If the signs are the same the result is positive. If the signs are different the result is negative.

`\begin{gathered} -*-=+ \\ +*+=+ \\ -*+=- \\ +*-=- \end{gathered}`

Therefore, the greatest product will be given by:

`-3*-2=6`

B.

The least of the products is:

`-3*3=-9`

C.

Changing the order of factors does not change the product.

Therefore:

`-3(-2)=-2(-3)=6`