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Real Numbers and Operations Review

Total questions: 34

Worksheet time: 3hrs 50mins

Name
Class
Date
1.

 3×10+8423\times10+8-4^2  



(a)  

2.
The numbers 0, 1, 2, 3, ... are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
3.
A rational number can be written as a fraction.
a)
True
b)
False
4.

Solve the following:

-12 ÷ 6 (-3) + 8

a)

14

b)

2

c)

-22

d)

3

5.
The √40 is between which two consecutive whole numbers?
a)
7 & 8
b)
4 & 5
c)
5 & 6
d)
6 & 7
6.
-3.5 is an integer
a)
True
b)
False
7.
Classify the Number: -23
choose all categories possible
a)
Rational
b)
Rational, integer
c)
integer
d)
Rational, whole
8.

(3)32+8÷(8)\left(-3\right)^3-2+8\div\left(-8\right)  



(a)  

9.
How would 0.333333 be classified?
a)
Rational
b)
Real and whole
c)
Only integer 
d)
Only whole
10.

The following Real Number Venn diagram correctly shows each set and subset:

a)

True

b)

False

11.
Is √2 Irrational?
a)
Yes
b)
No
12.
A repeating decimal is what type of number?
a)
Rational 
b)
Irrational
13.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
14.

Evaluate the expression.

a)
3
b)
5.57
c)
-6
d)
-3
15.
Which of the following contains only rational numbers?
a)
2.5, .764567..., 1/2, √27
b)
π, √4, √16, 7.7
c)
6.7, 4.45, -3, 
d)
5, -4.5, √13, √-9
16.
A repeating decimal and a terminating decimal which of the following in common.
a)
both are whole numbers
b)
both are irrational
c)
both are rational
d)
they have nothing in common
17.

Which operation would you do first?

( 12 + 10) ÷ 10 x 14 - 6

a)

Division

b)

Multiplication

c)

Addition

d)

Parentheses

18.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
19.
a)
2/3
b)
-2/3
c)
3/5
d)
-3/5
20.
Which of the following is a perfect square?
a)
24
b)
48
c)
81
d)
110
21.

Evaluate -2x + -3y if x = 10 and y = -6

a)

18

b)

-38

c)

12

d)

-2

22.

Which two consecutive numbers is ∛30 in between

a)

3 and 4

b)

5 and 6

c)

7 and 8

d)

9 and 10

23.

Which two consecutive numbers is ∛12 in between

a)

3 and 4

b)

7 and 8

c)

2 and 3

d)

5 and 6

24.

 10×5(6)2+(8)10\times5-\left(-6\right)^2+\left(-8\right)  



(a)  

25.

Level 3: Estimate the square root.

a)

Between 4 and 5 and closer to 5

b)

Between 5 and 6 and closer to 5

c)

Between -4 and -5 and closer to -5

d)

Between -5 and -6 and closer to -6

26.
27 ÷ 3 x 2 + 42
a)
34
b)
20.5
c)
26
27.

What does the term "squared" mean?

a)

raised to the power of 3

b)

raised to the power of 4

c)

raised to the power of 2

28.
Evaluate the expression.
a)
-30
b)
-18
c)
30
d)
-66
29.
Find and explain the error.    
 5 - 3 + 2
     5 - 5
        0
a)
There is no error.
b)
Addition was done first and you should have subtracted first
c)
There is a subtraction error
30.
Simplify:
[25-(13+4)+4] ÷ 3
a)
6
b)
2
c)
3
d)
4
31.
True or false:
Addition ALWAYS comes before subtraction.
a)
True
b)
False
32.

Which of the following real numbers is irrational?

a)

4.141441444....

b)

3.121212....

c)

-8.5

d)

45.45454545.....

33.

(4)2=\left(-4\right)^2=

a)

16

b)

-16

c)

8

d)

-8

34.

What is your favorite color?

4 lines