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Real Numbers (Properties & Converting)

Total questions: 45

Worksheet time: 2hrs 19mins

Name
Class
Date
1.
Identify the property
a + b = b + a
a)
Identity of addtion
b)
commutative of addition
c)
associative of addition
d)
symmetric
2.

Identify the property

a + 0 = a

a)

identity property of addition

b)

identity property of multiplication

c)

inverse property of addition

d)

multiplication property of zero

3.

Identify the property

(a ⋅ b) ⋅ c = (c ⋅ b) ⋅ a

a)

commutative property of multiplication

b)

identity property of multiplication

c)

inverse property of multiplication

d)

associative property of multiplication

4.
Pick the answer that is an example of the commutative property of multiplication
a)
b + c + a = a + b + c
b)
a(b + c) = ab + ac
c)
a ⋅ b = b⋅ a
d)
a ⋅ 1 = a
5.
Pick the answer that is an example of the identity property of addtion
a)
a + (-a) = 0
b)
1 + 1 = 2
c)
a + 0 = a
d)
a + b = b + a
6.

Identify the property

a(b + c) = ab + ac

a)

Associative property of addition

b)

Distributive property

c)

Commutative property of addition

d)

Inverse property

7.

If you multiply a number and its multiplicative inverse, what do you get?

a)

0

b)

1

c)

Not enough information

d)

None of these

8.

What is the additive inverse of 2/3?

a)

-2/3

b)

3/2

c)

2/3

d)

-3/2

9.
To solve this equation, which property would be useful:
x+5=17
a)
Multiplicative Inverse
b)
Additive Identity
c)
Multiplicative Identity
d)
Additive inverse
10.

Any number you multiply by zero is equal to zero.

a)

True

b)

False

11.

True or false: abc = cba

a)

True

b)

False, if c = 0.

c)

False, if a > b.

d)

False, three variables can't multiply.

12.
(19 x 5) x 2 = 19 x (5 x 2)
a)
Associative Property of Multiplication
b)
Commutative Property of Multiplication
c)
Identity Property of Multiplication
d)
Associative Property of Addition
13.
1 x 12 =12
a)
Identity Property of Multiplication
b)
Commutative Property of Multiplication
c)
Multiplication Property of One
d)
Distributive Property
14.

Which property says changing the order of the terms in addition or multiplication will not change the result

a)

Commutative

b)

Associative

c)

Inverse

d)

Identity

15.

What property is this?

a)

Multiplicative Inverse

b)

Multiplicative Identity

c)

Commutative

d)

Associative

16.
What property is this?
(n+13) + 4 = n + (13+4)
a)
Associative Property
b)
Commutative Property
c)
Additive Identity
d)
Distributive Property
17.

Which property is this:

a)

Additive Identity

b)

Additive Inverse

c)

Multiplicative Property of 0

d)

Multiplicative Inverse

18.

Convert 1/8 in a decimal

a)

1.8

b)

0.18

c)

0.125

d)

0.0125

19.
To rewrite a percent as a fraction:  Rewrite the percent using a ________ of 100.
a)
numerator
b)
denominator
c)
fraction
d)
1
20.
What number goes in the box to make the equation true?
a)
3
b)
30
c)
130
d)
300
21.

How can you change a FRACTION into a DECIMAL?

a)

Divide the numerator by the denominator.

b)

Multiply the numerator by the denominator.

c)

Add the numerator and denominator together.

d)

Subtract the numerator from the denominator.

22.

How can you change a DECIMAL into a FRACTION?

a)

You can't do this!

b)

Take a look at the last digit and where it is located in relation to its place value. Example: 0.7 is 7/10 because the 7 is in the 10th place.

c)

Always use "100" as your denominator no mater what.

d)

Multiply and then divide and then subtract and then add...

23.
44% can be written as the following decimal and fraction
a)
0.44 and 44/10 
b)
0.44 and 44/100
c)
0.4 and 44/100
d)
0.4 and 44/10
24.

What is 3/25 as a percent?

a)

12%

b)

3%

25.

3.45 = 345%

a)

True

b)

False

26.

What is 15% of 30?

a)

16

b)

4.50

27.
Order 3π, √ 10 , and 3.25 from least to greatest.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
 3.25, √ 10, 3π
28.
Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]
a)
-1, -5, 0, 1, 3, 10, 16
b)
16, 10, 3, 1, 0, -1, -5
c)
-5, -1, 0, 1, 3, 10, 16
d)
0, -1, 1, 3, -5, 10, 16
29.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
30.
a)
b)
c)
d)
31.
Which list of numbers is in order from least to greatest?
a)
A √23, 5, 6, 43%
b)
B 5, √23, 6, 43%
c)
C 43%, 5, √23, 6
d)
D 43%, √23, 5, 6
32.

Place the numbers in order from least to greatest

a)

π, 31%, -0.32, 1/3, 3.1

b)

-0.32, 31%, 1/3, 3.1, π

c)

-0.32, 1/3, 31%, 3.1, π

d)

-0.32, 31%, 1/3, π, 3.1

33.

Place numbers from least to greatest.

a)

-3/7, -0.44, √2, 0.14, 141%,

b)

-0.44, 0.14, -3/7, √2, 141%

c)

-3/7, -0.44, 0.14, 141%, √2

d)

-0.44, -3/7, 0.14, 141%, √2

34.

Place numbers in order from greatest to least.

a)

6 1/6, 62%, 0.6, 2π, -0.062

b)

2π, 62%, 6 1/6, 0.6, -0.062

c)

6 1/6, 2π, 62%, 0.6, -0.062

d)

2π, 6 1/6, 62%, 0.6, -0.062

35.

Place numbers in order from greatest to least.

a)

8%, ⅞, √3/2, −0.125, −0.01

b)

⅞, √3/2, 8%, −0.01, −0.125

c)

√3/2, ⅞, 8%, −0.125, −0.01

d)

⅞, 8%, √3/2, −0.01, −0.125

36.
Where would you place -6?
a)
In the whole number circle because it's a whole number, integer, and rational number.
b)
In the integer circle because it's an integer and rational number only.
c)
In the rational circle because it's only a rational number.
d)
I'm not sure because I don't know what rational means.
37.
Does the graphic organizer correctly group the numbers?
a)
Yes
b)
No
38.
Explain the error
a)
-1.2 isn't an integer.
b)
-2 isn't a whole number and 3.4 isn't a rational number.
c)
-2 isn't a whole number and -1.2 isn't an integer.
d)
The numbers are graphed correctly.
39.
Does this graphic organizer correctly group the numbers?
a)
Yes
b)
No
40.
Classify the Number: -23
a)
Rational
b)
rational, integer
c)
integer
d)
rational, whole
41.
Which is ordered from least to greatest?
a)
1/4, -3/7, 1/2
b)
-3/7, 1/2, 1/4
c)
1/2, 1/4, -3/7
d)
-3/7, 1/4, 1/2
42.
Order the numbers from least to greatest.
a)
-1 1/4,  -1 1/5,  -0.99,  1 13/20,  1.8
b)
-1 1/4,  -1 1/5,  -0.99, 1.8,  1 13/20
c)
-0.99,  -1 1/5,  -1 1/4,  1.8,  1 13/20
d)
-1 1/5,  -1 1/4,  -0.99,  1 13/20,  1.8
43.
a)
1/2
b)
1/10
c)
1/100
d)
1/9
44.
Rewrite 6/11 as a decimal 
a)
0.05454...
b)
5.45454...
c)
0.545454...
d)
1.83333...
45.
Convert 3.45 into a fraction in simplest form.
a)
345/100
b)
3 45/100
c)
3 9/20
d)
3/45

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