CPM Homework Help : CCA Problem 1-7

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1-7.

Simplify each expression.

$−42+(−17)$
Hint (a):
Because both numbers are negative, you can add them. Don't forget to make the answer negative.
Answer(a):
$−59$

$8−(−9)$
Hint (b):
Subtracting a negative is the same as adding a positive. Think of this as $8+9$ .

$8(−9)$
Hint (c):
Because there is only one negative number, the final answer will be negative. Multiply the numbers.
Answer(c):
$−72$

$−42\div(−7)$
Hint (d):
The rules for division are the same as the rules for multiplication.

$−2(−3)(−4)$
Step 1(e):
Multiplying two negatives makes a positive.
$−2(−3)=6$ So
$−2(−3)(−4)=6(−4)$
Step 2(e):
Multiplying a positive and a negative makes a negative.
$6(−4)=−24$
Answer(e):
$−24$

$−18−7$
Hint (f):
Subtraction is like adding a negative. Refer to part (a) to see the process.

$(−5)^2$
Hint (g):
Because the exponent is outside the parentheses, think of this as $(−5)(−5)$ .
Answer(g):
$25$

$−5^2$
Hint (h):
Think of this as $−(5^2)$
which is $−(5)(5)$ .

$\sqrt { 49 }$
Hint (i):
What positive number multiplied by itself is $49$ ?
Answer (i):
$7$

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