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5.4 Adding rational numbers

Total questions: 17

Worksheet time: 26mins

Name
Class
Date
1.
-14 + (-3)
a)
-17
b)
11
c)
-11
d)
17
2.
33 + (-38)
a)
-5
b)
5
c)
71
d)
-71
3.
A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?
a)
28 feet
b)
-28 feet
c)
52 feet
d)
-52 feet
4.
-7.8 + (-0.8)
a)
8.6
b)
-8.6
c)
7
d)
-7
5.
⅗+(−⅕)=
a)
⅖
b)
−⅖
c)
⅘
6.
Make sure your final answer is in simplest form!
a)
-5/3
b)
-10/12
c)
0
7.

Fill in the blank for the following rule: If the rational numbers have same signs, ______________ the absolute values and keep the common sign.

a)

add

b)

subtract

c)

multiply

d)

divide

8.

Fill in the blank for the following rule: If the rational numbers have different signs, ____________________ the absolute values and keep the sign of the number with the biggest absolute value.

a)

add

b)

subtract

c)

multiply

d)

divide

9.

What is the value of -456 + 905?

a)

-449

b)

1361

c)

449

d)

-1361

10.

What is the value of (-612) + (-221)?

a)

883

b)

-391

c)

-833

d)

391

11.

What is the value of the sum of (–2.12) + (-6.84) added to (- 4.19)?

a)

4.72

b)

-8.96

c)

-0.94

d)

-13.15

12.

Select all of the following that show the correct equation for the picture given.

a)

0 - 9 - 2 = -11

b)

(-9) + (-2) = (-11)

c)

0 - (-9) - (-2) = (-11)

d)

(-9) + 2 = (-11)

e)

0 + 9 + 2 = 11

13.

Evaluate: −3 − (−4) − (−2) + 1

a)

-8

b)

-4

c)

0

d)

4

e)

10

14.

Which situation could be represented by the equation: - 30 + 30 = 0 ?

a)

Jacob bought a hat for $30. He then bought some headphones for $30.

b)

Charmeal loaned $30 to her brother. She then paid her back $30 the next day.

c)

Shoney drove 30 miles to the library. She then drove 30 more miles to her college.

d)

Alysha filled a tank with 30 gallons of water. She then filled the tank with 30 more gallons.

15.
−28+(−8)=
a)
36
b)
−36
c)
−20
d)
20
16.
What's a way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
17.
8/15  +  (-6/15)
a)
14/15
b)
-2/15
c)
2/15
d)
-14/15