wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Real Numbers Review

Total questions: 65

Worksheet time: 3hrs 58mins

Name
Class
Date
1.

Absolute value is a numbers ____________ from zero.

a)

range

b)

distance

c)

opposite

d)

square

2.

 What is the absolute value of 14-\left|14\right| ?

a)

-14

b)

14

c)

This cannot be solved.

3.
Evaluate the expression.
|–5| + 8
a)
3
b)
13
c)
-13
d)
-3
4.
Solve
a)
2
b)
-2
c)
6
d)
-6
5.
7+(-12)=
a)
5
b)
19
c)
-19
d)
-5
6.
(-51) - (+4) = 
a)
-49
b)
+55
c)
-55
d)
+49
7.
6 + −2
a)
8
b)
4
c)
-4
d)
-8
8.
Write 5% as a decimal.
a)
5
b)
0.5
c)
0.05
d)
0.005
9.
Change this decimal to a percent.
0.528
a)
528%
b)
52.8%
c)
5.28%
d)
52%
10.
Express 2/5 as a decimal.
a)
0.2
b)
0.4
c)
0.5
d)
0.7
11.
Write 35% as a fraction IN SIMPLEST FORM.
a)
35/100
b)
7/20
c)
3/5
d)
5/3
12.
Which number is not equivalent to the others? 
0.5      1/5       5/25      20%
a)
0.5
b)
1/5
c)
5/25
d)
20%
13.
There are 4 trombones out of 25 instruments in the Landers town band. What percent of the instruments are trombones?
a)
4%
b)
20%
c)
16%
d)
25%
14.
a)

25\frac{2}{5}

b)

15\frac{1}{5}

c)

35\frac{3}{5}

d)

1

15.
Marie needs 2 1/4 yards of fabric/ She already has 1 3/8 yards. How many more yards of fabric does she need? (SUBTRACT)
a)
1/8 yard
b)
3/4 yard
c)
7/8 yard
d)
1 7/8 yards
16.
The Jacobys went on a 600 mile trip. On the first day, they drove 5 2/3 hours and on the second day they drove 4 3/5 hours. How many hours did they drive during the first two days?
a)
10 4/15 hours
b)
10 hours
c)
9 19/30 hours
d)
9 4/15 hours
17.
a)
4  2/3
b)
3  4/5
c)
5  2/7
d)
5  1/6
18.

Simplify your answer as much as possible...


Write your answer as a mixed number...

a)

1 7/8

b)

3 2/6

c)

3 1/3

d)

2 1/8

19.

Simplify your answer as much as possible...


Write your answer as a mixed number...

a)

2 14/15

b)

4 7/12

c)

44/15

d)

2 13/15

20.
Multiply. 
a)
12 5/6
b)
77/6
c)
6/77
d)
12 6/5
21.

 3 25×1 143\ \frac{2}{5}\times1\ \frac{1}{4}  

Multiply and simplify.

a)

 3 1103\ \frac{1}{10}  

b)

 8520\frac{85}{20}  

c)

 4 5204\ \frac{5}{20}  

d)

 4 144\ \frac{1}{4}  

22.

 1 23÷2 151\ \frac{2}{3}\div2\ \frac{1}{5}  

Simplify your answer as much as possible...

a)

25/33

b)

60/15

c)

20/33

d)

55/15

23.
Square root of 16 is....
a)
8
b)
4
c)
2
d)
3
24.
Which of the following is a perfect square?
a)
24
b)
48
c)
81
d)
110
25.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
26.
What is the exponent form for the factors
5 x 5 x 5?
a)
35
b)
53
27.
What is the value of 1000?
a)
1
b)
0
c)
100
28.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
29.
UNDERSTANDING:
The first number in scientific notation must be...
a)
between and including 0 and 10
b)
between and including 1 and 9.9999
c)
between and including 0 and 9.999
d)
between and including 1 and 10 
30.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
31.
Convert to standard notation:
2.4 x 10-3 
a)
2400
b)
0.24
c)
0.024
d)
0.0024
32.
Simplify 3-3
a)
-27
b)
-9
c)
-1/9
d)
1/27
33.
a)
9
b)
3
c)
1/3
d)
1
34.
93
a)
689
b)
709
c)
729
d)
749
35.
Put the following in order LEAST to GREATEST:
125%, 5/3, 12.4
a)
5/3, 12.4, 125%
b)
12.4, 5/3, 125%
c)
125%, 5/3, 12.4
d)
125%, 12.4, 5/3
36.
Order 5/8, 0.5, 58.3% from greatest to least.
a)
5/8, 0.5, 58.3%
b)
5/8, 58.3%, 0.5
c)
58.3%, 5/8, 0.5
d)
58.3%, 0.5, 5/8
37.
3.46 x 10-6 = ___________________.
a)
0.000000346
b)
0.0000346
c)
0.00000346
d)
0.000346
38.
Order the following from least to greatest.  
1/2,   2%,    2.1 x 10-2,      0.20
a)
2%, 2.1 x 10-2, 1/2, 0.20
b)
2%, 2.1 x 10-2, 0.20, 1/2
c)
0.20, 1/2, 2%, 2.1 x 10-2
d)
2.1 x 10-2, 1/2, 0.20, 2%
39.

1. Select all that are greater than 43%.

a)

35.8%

b)

1.8

c)

3/5

d)

-0.6

e)

2.8 x 105

40.

List the following in descending order.

a)

19/20, 19%, 0.192

b)

0.192, 19%, 19/20

c)

19/20, 0.192, 19%

d)

19%, 0.192, 19/20

41.
Evaluate the following expression:
-3x2 - 5x + 7 when x = -2
a)
5
b)
10
c)
12
d)
7
42.
Evaluate the following expression:
-x - 6x + 10 when x = 5
a)
-20
b)
-25
c)
25
d)
20
43.
h ÷ 0.07 = ?
h = 4.9
a)
7
b)
.7
c)
70
d)
700
44.
Maria has 25 dollars.  She has to buy a gallon of milk which costs $3.50.  She wants to spend the rest of her money on cereal.  If each box of cereal costs $4.50, how many can she purchase?
a)
4 boxes
b)
5 boxes
c)
6 boxes
d)
7 boxes
45.
Which statement is NOT true?
a)
Every rational number is a real number.
b)
Every counting number is a whole number.
c)
Every integer is a rational number.
d)
Every decimal number is an irrational number.
46.
Classify the Number: -23
a)
Rational
b)
Real, rational, integer
c)
integer
d)
Real, irrational, whole
47.
-14 could NOT be which type of number?
a)
Integer
b)
Real
c)
Rational
d)
Natural
48.
Classify 17/10
a)
Whole
b)
Rational
c)
Natural
d)
None of the above
49.
What number below is a natural, whole, integer, rational, and real number ?
a)
-4
b)
5.1
c)
0.7
d)
3
50.
Classify √35.
a)
Rational, Integer
b)
Whole, Integer, Rational 
c)
Irrational, Integer
d)
Irrational
51.
Classify 0
a)
Whole
b)
Integer
c)
Rational
d)
All of the above
52.
How would 0.333333 be classified?
a)
rational and real 
b)
real and whole
c)
only integer 
d)
only irrational
53.
What is the square root of 81?
a)
40.5
b)
c)
6561
d)
162
54.
Which number is an irrational number?
a)
√9
b)
√49
c)
√100
d)
√120
55.
A never ending decimal is which type of number?
a)
Rational 
b)
Irrational
56.
Which is an example of the commutative property of addition?
a)
2 + 3 = 3 + 2
b)
2 * 0 = 0
c)
4 * 1 = 4
d)
(2 + 3) + 4 = 2 + (3 + 4)
57.

6 * 4 = 4 * 6

a)

distributive property

b)

associative property of multiplication

c)

commutative property of multiplication

d)

identity property

58.

Which is an example of the Identity Property

a)

1 x 3 = 3

b)

7 x 0 = 0

c)

12 + 0 = 12

d)

2 x 3 = 3 x 2

59.
Which is an example of the Commutative Property of Multiplication
a)
8 + 2 = 2 + 8
b)
12 x 2 = 2 x 12
c)
6 x 1 = 6
d)
6 + 0 = 6
0 x 4 = 0
60.

9 x 1 = 9

a)

Associative Property

b)

Commutative Property

c)

Identity Property

d)

Distributive Property

61.
Rewrite (9 + 6) + 5 using the associative property.
a)
20
b)
(9 + 6) + 5 = (9 + 5) + 6
c)
(9 + 6) + 5  = 9 + (6+5)
d)
(9 + 6) + 5  = 5 + 9 + 5 + 6
62.

Which equations show the commutative property of addition?

a)

6 + 9 + 2 = 2 + 6 + 9

b)

7 + 7 = 2 x 7

c)

2x3+4 = 4x3+2

d)

6 + 6 + 6 + 6 + 6 + 6= 3 × 3 × 4

63.
Simplify the expression:
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
64.

Simplify using the distributive property: 3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

65.

2(3v - 8) = 6v - 16 is an example of what property?

a)

Distributive Property

b)

Commutative Property

c)

Associative Property