Free Printable Properties of Real Numbers

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 ⋅ b) ⋅ c = (c ⋅ b) ⋅ a

a)

commutative of multiplication

b)

identity of multiplication

c)

inverse of multiplication

d)

associative of multiplication

3.

Identify the property
a + 0 = a

a)

identity of addition

b)

identity of multiplication

c)

inverse of addtion

d)

multiplication of zero

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 multiplication?

a)

$a\ \cdot\ 1\ =\ a$

b)

$a\ \cdot\ 1\ =\ 1$

c)

$a\ \cdot\ 0\ =\ 0$

d)

$a\ \cdot\ \frac{1}{a\ }\ =\ 1$

6.

Identify the property
a(b + c) = ab + ac

a)

Associative of addtion

b)

Distributive

c)

Commutative of addition

d)

Inverse

7.

The following is an example of which property?

:-) * 0 = 0

a)

Inverse property of multiplication

b)

Identity property of multiplication

c)

Zero Property for multiplication

d)

Multiplication Property of -1

8.

Which of the following uses the distributive property to make multiplication easier for the following problem? Choose all that apply.

4 * 77

a)

4(70 + 7)

b)

4(50 + 17)

c)

4(80 - 3)

d)

77(2 + 2)

9.

How do you know that

$-1\ \cdot\ x\ =\ -x$

a)

Multiplication Property of Equality

b)

Distributive Property

c)

Multiplicative Property of -1

d)

Inverse Property of Multiplication

10.

The following is an example of...?

(a + b) * c = c * (a + b)

a)

The Distributive Property

b)

The Commutative Property of Addition

c)

The Associative Property of Addition

d)

The Commutative Property of Multiplication

11.

Which of the following is equivalent to
$-2\left(x\ -\ 2\right)$

a)

$-2x\ +\ 4$

b)

$-2x\ -\ 4$

c)

$-2x\ +\ 2$

d)

$-2x\ -\ 2$

12.

Simplify the following expression based on the distributive property.

$\frac{\left(12x\ +\ 8y\right)}{4}$

a)

$3x\ +\ 2y$

b)

$\frac{3}{4}x\ +\ \frac{2}{4}y$

c)

$3x\ +\ 8y$

d)

$12x+2y$

13.

True or False:

a + (cb) = (a+c)*b

a)

True, it is an example of the distributive property

b)

False, this does not match any property we studied.

14.

What should be the first step in simplifying this expression?

$(3b)\cdot5$

a)

$(b3)\cdot5$ ; Commutative Property of Multiplication

b)

$3\cdot(b5)$ ; Associative Property of Multiplication

c)

$5*b*5*3$ ; Distributive Property

d)

$15b$ ; Just Because

Properties of Real Numbers

Total questions: 14

Worksheet time: 14mins

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