Home > CCA > Chapter 1 > Lesson 1.1.1 > Problem1-7

1-7.

Simplify each expression. Homework Help ✎

1. − 42 + (−17)

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

−59

1. 8 − (−9)

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

1. 8 (−9)

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

−72

1. − 42 ÷ (− 7)

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

1. $−2(−3)(−4)$

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

1. −18 − 7

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

1. $(−5)^2$

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

25

1. $−5^2$

Think of this as −(52)
which is −(5)(5).

1. $\sqrt { 49 }$

What positive number multplied by itself is 49?

7