### Home > CCA > Chapter 1 > Lesson 1.1.1 > Problem 1-7

Simplify each expression. Homework Help ✎

− 42 + (−17)

Because both numbers are negative, you can add them. Don't forget to make the answer negative.

−59

8 − (−9)

Subtracting a negative is the same as adding a positive. Think of this as 8 + 9.

8 (−9)

Because there is only one negative number, the final answer will be negative. Multiply thenumbers.

−72

− 42 ÷ (− 7)

The rules for division are the same as the rules for multiplication.

Multiplying two negatives makes a positive.

−2(−3) = 6 So

−2(−3)(−4) = 6(−4)

Multiplying a positive and a negative makes a negative.

6(−4) = −24

−24

−18 − 7

Subtraction is like adding a negative. Refer to part (a) to see the process.

Because the exponent is outside the paretheses, think of this as (−5)(−5).

25

Think of this as −(5^{2})

which is −(5)(5).

What positive number multplied by itself is 49?

7