Free Printable Properties of Numbers

1.

Which property allows us to change the order of addition or multiplication in algebraic terms?

a)

Distributive property

b)

Associative property

c)

Commutative property

d)

Inverse property of addition

2.

Which property is illustrated by the following example?

$a+b=b+a$

a)

Commutative

b)

Associative

c)

Distributive

d)

Additive Inverse

3.

Which property is illustrated by the following example?

$4+\left(5+6\right)=\left(4+5\right)+6$

a)

Commutative

b)

Associative

c)

Distributive

d)

Additive Identity

4.

Which property is illustrated by the following example?

$7\left(x+5\right)=7x+35$

a)

Commutative

b)

Associative

c)

Distributive

d)

Additive Identity

5.

Which property is illustrated by the following example?

$n+0=n$

a)

Multiplicative Inverse

b)

Additive Inverse

c)

Multiplicative Identity

d)

Additive Identity

6.

Which property is illustrated by the following example?

$6+\left(-6\right)=0$

a)

Multiplicative Inverse

b)

Additive Inverse

c)

Multiplicative Identity

d)

Additive Identity

7.

Which property is illustrated by the following example?

$y\left(1\right)=y$

a)

Multiplicative Inverse

b)

Additive Inverse

c)

Multiplicative Identity

d)

Additive Identity

8.

Which property is illustrated by the following example?

$\frac{4}{3}\left(\frac{3}{4}\right)=1$

a)

Multiplicative Inverse

b)

Additive Inverse

c)

Multiplicative Identity

d)

Additive Identity

9.

Which of the following is an example of the associative property?

a)

$a+\left(b+c\right)=\left(b+c\right)+a$

b)

$9+\left(8+3\right)=\left(9+8\right)+3$

c)

$x+y=y+x$

d)

$3\left(2x+8\right)=6x+24$

10.

Which of the following is an example of the commutative property?

a)

$a+0=a$

b)

$9+\left(8+3\right)=\left(9+8\right)+3$

c)

$x+y=y+x$

d)

$3\left(2x+8\right)=6x+24$

11.

Match the following

a)

$8\left(1\right)=8$

1.

Multiplicative Identity

b)

$x\left(\frac{1}{x}\right)=1$

2.

Multiplicative Inverse

c)

$15+0=15$

3.

Additive Identity

d)

$b+\left(-b\right)=0$

4.

Additive Inverse

12.

Which property is illustrated by the following example?

$5\left(2+3\right)=10+15$

a)

Commutative

b)

Associative

c)

Distributive

d)

Additive Identity

13.

Which of the following is an example of the additive identity property?

a)

$a+0=a$

b)

$x+(-x)=0$

c)

$3\left(1\right)=3$

d)

$4+5=5+4$

14.

Which property is illustrated by the following example?

$8\left(1\right)=8$

a)

Multiplicative Inverse

b)

Additive Inverse

c)

Multiplicative Identity

d)

Additive Identity

15.

What is the additive identity for any number?

a)

0

b)

1

c)

-1

d)

2

16.

What is the multiplicative identity for any number?

a)

0

b)

1

c)

-1

d)

2

17.

Which property states that adding zero to any number does not change the number?

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Additive Identity

18.

Which property states that multiplying any number by one does not change the number?

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Multiplicative Identity

19.

Which property states that changing the order of the numbers does not change the result of addition?

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Additive Identity

20.

Which property states that multiplication distributes over subtraction?

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Additive Identity

21.

Which is an example of the Distributive Property?

a)

$3\left(8\times10\right)=3\times8+3\times10$

b)

$x\times y=y\times x$

c)

$7+\left(18+11\right)=\left(11+7\right)+18$

d)

$0+x=x$

22.

Choose all Commutative Properties

a)

8x9=9x8

b)

2.5+4=2.6+4

c)

25+4=4+25

d)

8(7x9)=(8x7)+9

23.

Name the property shown

3\left(7\times5\right)=\left(3\times7\right)\times5

a)

Commutative Property of Multiplication

b)

Associative Property of Addition

c)

Additive Inverse

d)

Associative Property of Multiplication

24.

Which of the following is an example of the ASSOCIATIVE PROPERTY OF ADDITION?

a)

11 + (8 + 3) = 11 + (3 + 8)

b)

(20 + 0.5) + 3 = 20 + (0.5 + 3)

c)

5(7 + 2) = 5(7) + 5(2)

d)

3 x (5 x 4) = (3 x 5) x 4

25.

What property is this?
1a = a

a)

Commutative Property of Multiplication

b)

Multiplicative Inverse

c)

Multiplicative Identity

d)

Distributive Property

26.

Identify this property.

$\frac{2}{3}\ +\ \left(-\frac{2}{3}\right)=0$

a)

Additive Identity

b)

Additive Inverse

c)

Multiplicative Property of 0

d)

Multiplicative Inverse

27.

Identify this property.

$\frac{4}{5}\ \times\ \frac{5}{4}\ =\ 1$

a)

Multiplicative Inverse

b)

Multiplicative Identity

c)

Commutative

d)

Associative

28.

Write the additive inverse of

-7

29.

Identify the example of the

identity property of addition.

a)

a + (-a) = 0

b)

a + a = 2a

c)

a + 0 = a

d)

a + b = b + a

30.

Identify the example of the

inverse property of multiplication.

a)

5 ⋅ 0 = 5

b)

5 ⋅ $\frac{1}{5}$ = 1

c)

5 - 5 = 0

d)

5 ⋅ 1 = 5

31.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

32.

xyz • 1/xyz = 1

a)

Inverse Property of Addition

b)

Identity Property of Multiplication

c)

Zero Property

d)

Multiplicative Inverse Property

33.

-x + x = 0

a)

Additive Inverse Property

b)

Identity Property of Addition

c)

Commutative Property of Multiplication

d)

Associative Property of Addition

34.

1 • g³ = g³

a)

Inverse Property of Multiplication

b)

Zero Property

c)

Transitive Property

d)

Identity Property of Multiplication

35.

a² + (b² + c²) = (a² + b²) + c²

a)

Commutative Property of Addition

b)

Zero Property

c)

Associative Property of Addition

d)

Identity Property of Addition

36.

(x•y) • z = z • (x•y)

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Multiplicative Inverse Property

d)

Identity Property of Multiplication

37.

-3(a+c) = -3a-3c

a)

Transitive Property

b)

Distributive Property

c)

Symmetric Property

d)

Commutative Property of Multiplication

38.

(5•2) • 4 = 5 • (2•4)

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Transitive Property

d)

Symmetric Property

39.

Fill in the blank to properly solve the equation using MULTIPLICATIVE INVERSE:

$8\left(\ \ \ \right)=1$

40.

Fill in the blank to properly solve the equation using MULTIPLICATIVE INVERSE:

$\frac{1}{4}\left(\ \ \ \right)=1$

41.

Fill in the blank to properly solve the equation using ADDITIVE INVERSE:

$-5+\left(\ \ \ \right)=0$

42.

Which property does this represent: $3(9+4)=3\cdot9+3\cdot4$

a)

Commutative Property of Addition

b)

Distributive Property

c)

Associative Property of Multiplication

d)

Addition Property of Equality

43.

Simplify using the distributive property:

$3\left(2x-5\right)$

44.

Simplify using the distributive property:

$-2\left(x-5\right)$

45.

Simplify using the distributive property:

$6\left(x^2-5x\right)$

46.

Madeline is solving the following problem:

-2 + 4 + -5 + 6+ -7

She rewrote the problem to be (4+6)+(-2+-5+-7). What property did she use to rewrite the problem?

a)

Associative

b)

Commutative

c)

Distributive

d)

Inverse

47.

Giuseppe was solving the problem:

\left(-\ 8\frac{8}{13}+12\frac{3}{4}\ \right)\ +\left(-12\ \frac{3}{4}\right)

He changed the problem to:

-\ 8\frac{8}{13}+\left(12\frac{3}{4}\ \ +-12\ \frac{3}{4}\right)

What property did Giuseppe use?

a)

Associative

b)

Commutative

c)

Distributive

d)

Inverse

Properties of Numbers

Total questions: 47

Worksheet time: 34mins

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