Properties of Arithmetic

Properties of Arithmetic

Multiple Select

Which equations show the commutative property? Check all correct answers.

• 6+4=4+6

• 6+(2+3)=(6+2)+3

• 5+(3x4)=(3x4)+5

• ab=ba

• a(bc)=(ab)c

Multiple Choice

Find an equivalent expression using the Commutative property:
4 x 3 x 5 = 

• 4 + 3 x 5
• 5 x 4 x 3
• 5 + 4 + 3
• 3x + 5

Multiple Choice

___ + 5 = 5 + 9

• 9
• 19
• 14
• -9

Multiple Choice

The commutative property of multiplication states that the order of the numbers in an equation:

• Should go from least to greatest
• Doesn't change the product
• Should go from greatest to least
• Is always important

Multiple Choice

Which of these illustrates the associative property of multiplication?

• 3 x (2 x 7) = (3 x 2) x 7

• 6(3 + 1) = (6x3) + (6x1)

• 4 x 23 = 23 x 6

• 5 x 0 = 0

Multiple Choice

Rewrite (9 x 6) x 5 using the associative property.

• 270
• 9 x 30
• 9 x (6 x 5)
• 5 x 9 + 5 x 6

Multiple Choice

What property allows this statement to be true? 
(A + B) + C = A + ( B + C)

• Associative
• Commutative
• Distributive
• Identity

Multiple Choice

What is another way to write 12 x 14?

• 11(14 + 1)

• 13(12 + 1)

• (12 x 7) x (12 x 7)

• 12(10 + 4)

Multiple Choice

What is the distributive property?

• For any numbers a, b, c,

  a(b + c) = ab + ac

• For any numbers a, b, and c,

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

• For any numbers a, b, c,

  abc = a + b + c

• For any number a, b, and c,

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

Multiple Choice

2(c - 8)

• 2c - 16
• 2c + 16
• 2c - 8
• c - 16

Multiple Choice

5(a + 6)

• 5a + 6
• a + 30
• 5a + 30
• 5a - 30

Multiple Select

Which equations show the identity property of zero?

• 0+4=4

• 0 x 4 = 0

• k + 0 = k

• 3 x 2 +6

Multiple Select

Which equations show the identity property of zero?

• 0+4=4

• 0 x 4 = 0

• k + 0 = k

• 3 x 2 =6

Multiple Choice

Which property of multiplication is shown below:
1 × 83 = 83

• Commutative Property
• Associative Property
• Identity Property
• Zero Property

Multiple Choice

Identify the property

a + (-a) = 0

• Additive inverse

• Identity of addtion

• associative of addition

• symmetric

Multiple Choice

What is the additive inverse of 2/3?

• -2/3

• 3/2

• 2/3

• -3/2

Multiple Choice

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

• 0

• 1

• Not enough information

• None of these

Multiple Choice

What is another name for the multiplicative inverse?

• opposite

• reciprocal

• numerator

• sum

Multiple Choice

What property is illustrated: 3 + (12 + 8) = 3 + (8 + 12)

• Associative Addition

• Associative Multiplication

• Commutative Addition

• Commutative Multiplication

Multiple Choice

This property tells us that when we change the order of numbers when we are adding, the answer does not change.  

• Commutative Addition
• Commutative Multiplication
• Associative Addition
• Associative Multiplication

Multiple Choice

Identify the property that justifies this step.

8(a + 7) = 8a + 8(7)

• Associative

• Distributive

• Commutative

• Zero Property

Multiple Choice

This property tells us that you can move the parentheses when you are multiplying and the answer will not change.

• Associative Addition

• Associative Multiplication

• Commutative Addition

• Commutative Multiplication