CPM Homework Help : CC3 Problem 1-49

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1-49.

Simplify the following expressions.

$-0.75-0.4$
Hint (a):
Think about a number line. If you start at $-0.75$ and then move left $0.4$ , where do you end up?

$\frac{7}{8}-\frac{2}{3}$
Hint (b):
Find a common denominator.
Answer (b):
$\frac{5}{24}$

$0.65-0.89$
Hint (c):
Think of positive numbers as 'having' and negative numbers as 'owing.' In this case, you have $0.65$ but owe $0.89$ . Will you end up 'having' or 'owing'? How much?
Answer (c):
$-0.24$

$\frac { 11 } { 12 } + \frac { 4 } { 9 }$
Hint (d):
Find a common denominator.

$\frac { 9 } { 10 } \cdot 2 \frac { 1 } { 3 }$
Hint (e):
Change the mixed number to a fraction greater than one.
Answer (e):
$\frac{21}{10} = 2\frac{1}{10}$

$12 \div \frac { 7 } { 8 }$
Hint (f):
See (e).

$1\frac{2}{3}+(-\frac{2}{5})$
Hint (g):
Adding a negative number is the same as subtracting a positive number.

$\frac{4}{7}-(-\frac{3}{8})$
Hint (h):
Subtracting a negative number is the same as adding a positive number.
Answer (h):
$\frac{53}{56}$

$-4.05+3.18$
Hint (i):
See (c).

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