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Integers, Opposites, Absolute Value and Adding Rational Numbers

Total questions: 87

Worksheet time: 2hrs 6mins

Name
Class
Date
1.

Find the sum:  116+(258)-1\frac{1}{6}+\left(-2\frac{5}{8}\right)  

a)

 31924-3\frac{19}{24}  

b)

 337-3\frac{3}{7}  

c)

 111241\frac{11}{24}  

d)

 2524-2\frac{5}{24}  

2.

Find the sum:  3+(358)3+\left(-3\frac{5}{8}\right)  

a)

 58-\frac{5}{8}  

b)

 58\frac{5}{8}  

c)

 38-\frac{3}{8}  

d)

 658-6\frac{5}{8}  

3.

Find the sum:  78+316-\frac{7}{8}+3\frac{1}{6}  

a)

 27242\frac{7}{24}  

b)

 41254\frac{1}{25}  

c)

 317243\frac{17}{24}  

d)

 211242\frac{11}{24}  

4.

Find the sum:  (5.2)+1.51(-5.2)+1.51  

a)

 3.69-3.69  

b)

 3.71-3.71  

c)

 6.716.71  

d)

 4.31-4.31  

5.

Find the sum:  0.1+(0.19)0.1+\left(-0.19\right)  

a)

 0.09-0.09  

b)

 0.290.29  

c)

 0.19-0.19  

d)

 0.2-0.2  

6.

Find the sum:  98+(312)\frac{9}{8}+\left(-3\frac{1}{2}\right)  

a)

 238-2\frac{3}{8}  

b)

 458-4\frac{5}{8}  

c)

 2382\frac{3}{8}  

d)

 18-\frac{1}{8}  

7.

Find the sum:  216+(53)2\frac{1}{6}+\left(-\frac{5}{3}\right)  

a)

 12\frac{1}{2}  

b)

 12-\frac{1}{2}  

c)

 236-\frac{23}{6}  

d)

 3563\frac{5}{6}  

8.

Find the sum: 14+(14)\frac{1}{4}+\left(-\frac{1}{4}\right)  

a)

 00  

b)

 12\frac{1}{2}  

c)

 12-\frac{1}{2}  

d)

 14-\frac{1}{4}  

9.

Elijah is tracking his expenses for the week. On Monday, he spent $1.571 on snacks, and on Tuesday, he spent $0.6 on a drink. Find the total amount he spent over these two days:

a)

2.171-2.171  

b)

0.9710.971  

c)

1.71-1.71  

d)

2.1712.171  

10.

 2.1+(1.08)-2.1+\left(1.08\right)  Find the sum:

a)

 4.1514.151  

b)

 1.02-1.02  

c)

 1.18-1.18  

d)

 0.020.02  

11.

Find the sum: 34+58-\frac{3}{4}+\frac{5}{8}  

a)

12-\frac{1}{2}  

b)

12\frac{1}{2}  

c)

18\frac{1}{8}  

d)

18-\frac{1}{8}  

12.

Michael had a debt of $2.75. He paid back $1.25 to his friend. What is the remaining debt?

a)

1.5-1.5  

b)

0.50.5  

c)

1.51.5  

d)

1.0-1.0  

13.

Find the sum: 23+(56)\frac{2}{3}+\left(-\frac{5}{6}\right)  

a)

16\frac{1}{6}  

b)

13\frac{1}{3}  

c)

16-\frac{1}{6}  

d)

13-\frac{1}{3}  

14.

Find the sum: 25+310-\frac{2}{5}+\frac{3}{10}  

a)

15-\frac{1}{5}  

b)

15\frac{1}{5}  

c)

110-\frac{1}{10}  

d)

110\frac{1}{10}  

15.

Find the sum: 1.75+2.5-1.75+2.5  

a)

0.75-0.75  

b)

0.750.75  

c)

1.75-1.75  

d)

1.751.75  

16.

Find the sum: 79+(49)\frac{7}{9}+\left(-\frac{4}{9}\right)  

a)

13-\frac{1}{3}  

b)

13\frac{1}{3}  

c)

23\frac{2}{3}  

d)

23-\frac{2}{3}  

17.

Find the sum: 37+514-\frac{3}{7}+\frac{5}{14}  

a)

114\frac{1}{14}  

b)

17-\frac{1}{7}  

c)

17\frac{1}{7}  

d)

114-\frac{1}{14}  

18.

Find the sum: 2.3+1.7-2.3+1.7  

a)

1.61.6  

b)

1.6-1.6  

c)

0.60.6  

d)

0.6-0.6  

19.

Find the sum: 45+(23)\frac{4}{5}+\left(-\frac{2}{3}\right)  

a)

215\frac{2}{15}  

b)

215-\frac{2}{15}  

c)

115-\frac{1}{15}  

d)

115\frac{1}{15}  

20.

How do you change fractions into decimals? 57\frac{-5}{7}  

a)

Add -5 + 7.

b)

Subtract -5 - 7.

c)

Multiply -5 x 7.

d)

Divide -5 / 7.

21.

How do you change a decimal to a fraction? 0.14-0.14  

a)

-1/4

b)

-14

c)

-14/100

d)

-14/1000

22.

The answer to this expression is ... 27 + 4 12-\frac{2}{7}\ +\ 4\ \frac{1}{2}  

a)

POSITIVE

b)

NEGATIVE

c)

ZERO

d)

All of the above.

23.

Find the sum: 116+(258)-1\frac{1}{6}+\left(-2\frac{5}{8}\right)  

a)

31924-3\frac{19}{24}  

b)

337-3\frac{3}{7}  

c)

111241\frac{11}{24}  

d)

2524-2\frac{5}{24}  

24.

Find the sum: 3+(358)3+\left(-3\frac{5}{8}\right)  

a)

58-\frac{5}{8}  

b)

58\frac{5}{8}  

c)

38-\frac{3}{8}  

d)

658-6\frac{5}{8}  

25.

Find the sum: 78+316-\frac{7}{8}+3\frac{1}{6}  

a)

27242\frac{7}{24}  

b)

41254\frac{1}{25}  

c)

317243\frac{17}{24}  

d)

211242\frac{11}{24}  

26.

Find the sum: (5.2)+1.51(-5.2)+1.51  

a)

3.69-3.69  

b)

3.71-3.71  

c)

6.716.71  

d)

4.31-4.31  

27.

Find the sum: 0.1+(0.19)0.1+\left(-0.19\right)  

a)

0.09-0.09  

b)

0.290.29  

c)

0.19-0.19  

d)

0.2-0.2  

28.

Find the sum: 98+(312)\frac{9}{8}+\left(-3\frac{1}{2}\right)  

a)

238-2\frac{3}{8}  

b)

458-4\frac{5}{8}  

c)

2382\frac{3}{8}  

d)

18-\frac{1}{8}  

29.

Find the sum: 216+(53)2\frac{1}{6}+\left(-\frac{5}{3}\right)  

a)

12\frac{1}{2}  

b)

12-\frac{1}{2}  

c)

236-\frac{23}{6}  

d)

3563\frac{5}{6}  

30.

Find the sum: 14+(14)\frac{1}{4}+\left(-\frac{1}{4}\right)  

a)

00  

b)

12\frac{1}{2}  

c)

12-\frac{1}{2}  

d)

14-\frac{1}{4}  

31.

Find the sum: (1.571)+(0.6)\left(-1.571\right)+\left(-0.6\right)  

a)

2.171-2.171  

b)

0.9710.971  

c)

1.71-1.71  

d)

2.1712.171  

32.

2.1+(1.08)-2.1+\left(1.08\right)  Find the sum:

a)

4.1514.151  

b)

1.02-1.02  

c)

1.18-1.18  

d)

0.020.02  

33.

Find the sum: (5.2)+1.51(-5.2)+1.51  

a)

3.69-3.69  

b)

3.71-3.71  

c)

6.716.71  

d)

4.31-4.31  

34.
-5.7 + 0.9
a)
2.1
b)
-4.8
c)
-8.3
d)
-10.7
35.

Find the sum: 78+316-\frac{7}{8}+3\frac{1}{6}  

a)

27242\frac{7}{24}  

b)

41254\frac{1}{25}  

c)

317243\frac{17}{24}  

d)

211242\frac{11}{24}  

36.

Find the sum: 116+(258)-1\frac{1}{6}+\left(-2\frac{5}{8}\right)  

a)

31924-3\frac{19}{24}  

b)

337-3\frac{3}{7}  

c)

111241\frac{11}{24}  

d)

2524-2\frac{5}{24}  

37.

adding opposites gets an answer of zero

a)

absolute value

b)

opposites

c)

additive inverse

38.

3.6+(2.4)3.6+\left(-2.4\right)  

(a)  

39.

Find the sum: (1.571)+(0.6)\left(-1.571\right)+\left(-0.6\right)  

a)

2.171-2.171  

b)

0.9710.971  

c)

1.71-1.71  

d)

2.1712.171  

40.

Find the sum: (5.2)+1.51(-5.2)+1.51  

a)

3.69-3.69  

b)

3.71-3.71  

c)

6.716.71  

d)

4.31-4.31  

41.
write -3/8 as a decimal.
a)
0.375
b)
2.666...
c)
-2.666...
d)
-0.375
42.

Steps are ? -5 + -8

a)

add & keep the sign

b)

add & use other sign

c)

subtract & use "larger" number's sign

d)

subtract & use "smaller" number's sign

43.

Steps are ? 7 + (-9)

a)

add & keep the sign

b)

add & use other sign

c)

subtract & use "larger" number's sign

d)

subtract & use "smaller" number's sign

44.

So 5 + (-7) = (a)  

45.

(- 9 ) + 2

Different signs, subtract.

(a)  

46.

9 + ( -2)

DIfferent signs subtract.

(a)  

47.

( - 3 ) + ( -2 ) =

(a)  

48.

-4 + 8

(a)  

49.

-9 + -7

(a)  

50.

21 + (-5)

(a)  

51.

-23 + (-12)

(a)  

52.

17 + (-11)

(a)  

53.

7.2 + (-9.1)

(a)  

54.

-19.3 + (-8.49)

(a)  

55.

-1.07 + 5

(a)  

56.

13+(45)\frac{1}{3}+\left(-\frac{4}{5}\right)  

(a)  

57.

16+712-\frac{1}{6}+\frac{7}{12}  

(a)  

58.

45+23-\frac{4}{5}+\frac{2}{3}  

(a)  

59.

Which situation is best represented with a negative integer?

a)

68 degrees above zero

b)

A growth of 4 inches

c)

Earnings of $28

d)

78 feet below sea level

60.
What is the opposite of 12?
a)
12
b)
-12
c)
0
d)
1/12
61.
What is true about opposites?
a)
They are on the same side of zero
b)
They are the same distance away from zero.
c)
They are not really opposites
62.
The opposite of a negative is always a ___________
a)
positive
b)
negative
c)
absolute value
d)
inequality
63.
How do you know that 5 and -5 are opposites? 
a)
Because they both have a 5 
b)
They are the same distance from 0 and on opposite sides of 0 
c)
Because they are the same 
d)
They both are on a number line 
64.
Evaluate the expression.
|–5| + 8
a)
3
b)
13
c)
-13
d)
-3
65.
What is absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number is from zero
d)
The multiplicative inverse of a number
66.
The absolute value of |3| is -3.
a)
True
b)
False
67.
Evaluate the expression.
|-2| + |-5|
a)
7
b)
-7
c)
3
d)
-3
68.
Which is not an integer?  
a)
-5
b)
12
c)
0
d)
-1/2
69.
Express an integer: a debt of $50
a)
50
b)
-50
70.
What are 2 integers with an absolute value of 15? 
a)
15 and -10
b)
30 and 15
c)
15 and -15
d)
0 and -15
71.
Express as an integer:  at sea level
a)
0
b)
-0
c)
1
d)
-10
72.

What are integers?

a)

Only positive numbers.

b)

Only negative numbers

c)

All whole numbers and their opposites

d)

Only Zero

73.

The opposite value of -12 is ____.

a)

-12

b)

0

c)

-0

d)

12

74.

In Grand Forks the temperature was  8°F.-8\degree F.  

In  Duluth the temperature was   0°F.0\degree F.  

In St. Cloud the temperature was  15°F.-15\degree F.  

In Huron the temperature was  10°F.-10\degree F.  

Which city has the coldest temperature?

a)

Grand Forks

b)

Duluth

c)

St. Cloud

d)

Huron

75.

It is 14 degrees below zero

a)

|- 14|

b)

|14|

c)

14

d)

-14

76.
the distance a number is from zero on a number line
a)
inequality
b)
absolute value
c)
negative number
d)
positive number
77.

True or False. The |-55| and |55| are equal.

a)

True

b)

False

78.

Compare the following numbers: -2 ____ -5

a)

>

b)

<

c)

=

d)

0

79.

Put the following numbers in order from least to greatest...


-8, 13, -2, 0, 4

a)

0, -2, 4, -8, 13

b)

13, 4, 0, -2, -8

c)

13, -8, 4, -2, 0

d)

-8, -2, 0, 4, 13

80.

Ms. Ballou swam 25 feet below sea level while on vacation. What is the opposite of Ms. Ballou's elevation?

a)

25 feet below sea level

b)

on sea level

c)

25 feet above sea level

d)

250 feet above sea level

81.

It is 14 degrees below zero

a)

|- 14|

b)

|14|

c)

14

d)

-14

82.

Which situation is best represented with a negative integer?

a)

68 degrees above zero

b)

A growth of 4 inches

c)

Earnings of $28

d)

78 feet below sea level

83.
The opposite of -18 is __.
a)
-18
b)
0
c)
1/8
d)
18
84.

What is the opposite of a deposit of $25?

a)

An allowance of $25

b)

An increase of $25

c)

A withdrawal of $25

d)

A credit of $25

85.

What is the opposite of a rise of 45 degrees?

a)

An increase of 45 degrees.

b)

A fall of 45 degrees.

c)

A gain of 45 degrees.

d)

A climb of 45 degrees.

86.

Find the absolute value I 5 I

a)

5

b)

-5

c)

0

d)

1

87.

Find the absolute value |-43|

a)

-43

b)

43

c)

0

d)

-1