Properties of Arithmetic

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

• 0

• 1

• Not enough information

• None of these

Which property of multiplication is shown below:
17 × 113 = 113 × 17

• Commutative Property

• Associative Property

• Identity Property

• Zero Property

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

• Commutative Property

• Associative Property

• Identity Property

• Zero Property

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

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

Which of these illustrates the associative property of multiplication?

• 3 x (2 x 7) = (3 x 2) x 7

• 6(3 + 1) = (6 x 3) + (6 x 1)

• 4 x 23 = 23 x 6

• 5 x 0 = 0

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

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

• Associative Addition

• Associative Multiplication

• Commutative Addition

• Commutative Multiplication

Which property is shown: 4 + 3 + (2 + 5) = 4 + (3 + 2) + 5

• Commutative Addition

• Associative Addition

• Commutative Multplication

• Associative Multiplication

Identify the property that justifies this step.

8a + 6 + 4a = 8a + 4a + 6

• Associative

• Commutative

• Identity

• Distributive