# Adding and Subtracting Rational Numbers Worksheet

Adding and Subtracting Rational Numbers Worksheet
• Page 1
1.
Find the sum.
(- $\frac{4}{9}$) + (- $\frac{5}{9}$) + $\frac{4}{9}$
 a. - $\frac{1}{5}$ b. - $\frac{5}{9}$ c. - $\frac{10}{11}$ d. - $\frac{6}{7}$

2.
Find the quotient.
- 16 ÷ (- $1\frac{3}{5}$)
 a. 10 b. - 10 c. 15 d. 20

3.
Find the quotient.
$1\frac{1}{5}$ ÷ (- $1\frac{4}{5}$)
 a. - $\frac{2}{5}$ b. $\frac{2}{3}$ c. - $\frac{2}{3}$ d. $\frac{2}{5}$

4.
Find the product.
(- $3\frac{1}{4}$) and (- $3\frac{7}{8}$)
 a. $\frac{403}{37}$ b. $\frac{403}{32}$ c. $\frac{403}{64}$ d. $\frac{403}{42}$

5.
Find the product.
$6\frac{4}{5}$ and $7\frac{8}{9}$
 a. $\frac{2414}{45}$ b. $\frac{2414}{135}$ c. $\frac{1157}{45}$ d. $\frac{2354}{45}$

6.
Evaluate the expression.
$5\frac{5}{16}$ - (- $\frac{1}{16}$) - $\frac{5}{16}$
 a. $5\frac{1}{16}$ b. $5\frac{1}{8}$ c. 5 d. $4\frac{13}{17}$

7.
Find the sum.
$1\frac{1}{5}$ + $1\frac{4}{5}$ + $3\frac{1}{5}$
 a. $6\frac{2}{5}$ b. $6\frac{1}{5}$ c. $5\frac{1}{6}$ d. 6

8.
- 0.9 + 14 + 0.9
 a. 14 b. 14.9 c. 13.1 d. 15.8

9.
Find the number that makes the number sentence true.
3.3 + 5 = ?
 a. 2.3 b. 8 c. 3.8 d. 8.3

#### Solution:

3.3 + 5

= ( 3.0 + 0.3 ) + 5.0
[3.3 can be written as 3.0 + 0.3]

= ( 3.0 + 5.0 ) + 0.3
[By associative property.]

= 8.0 + 0.3

= 8.3

10.
Which of the following numbers makes the number sentence true?
1.5 - 0.4 = ?
 a. 0.46 b. 1.46 c. 0.1 d. 1.1

#### Solution:

1.5 - 0.4

= ( 1.0 + 0.5 ) - 0.4
[1.5 can be written as 1.0 + 0.5]

= 1.0 + 0.5 - 0.4

= 1.0 + 0.1

= 1.1