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3-82.

Simplify each expression without using a calculator. For each expression, draw a diagram or use words to explain how you know your answer makes sense. 1.  $-8\div-4$

Drawing a diagram will help you visualize what is happening in this expression. For this problem, divide 8 negative integers into groups of $-4$.

$----\ \ \ \ \ ----$

Since there are two groups of $-4$, that means that $-8$ divided by $-4$ is equal to $2$.

$2$

1.  $18\div-3$

Since division is the undoing of multiplication, $-3$ times what is equal to $18$? Remember to try the problem on your own before checking the answer.

$-6$

1.  $-24\div2$

Follow the steps outlined in part (a). However, it might be helpful to think of this problem as dividing $-24$ into $2$ groups. What type of integers would be in the two groups? How many would be in each group?

1.  $17\div-1$

This problem is similar to part (b). Try thinking of what you need to multiply by $-1$ to get $17$.