Number Properties

Commutative

100

Define the Commutative Property in your own words

The commutative property states that you can change the order of the numbers in an addition or multiplication problem and still get the same result.

200

True or False?

5 + 7 = 7 + 5 is an example of the commutative property

True

300

Rewrite and solve the following using the commutative property:

50 x 105

105 x 50

400

Rewrite and solve the following using the commutative property.

21 + 19 + 47

one possible answer:

47 +21 +19 = 87

Associative

100

Define the Associative Property in your own words

The associative property states that you can change the grouping of numbers in an addition or multiplication problem without changing the result.

200

True or False?

90 + (40 + 10) = 90 x (40 x 10) is an example of the associative property.

False

300

Rewrite the following using the associative property:

12 + (2 + 9)

(12 + 2) + 9

400

Rewrite and solve the following using the associative property:

((10 x 8) x 1) x 3

One possible combination:

(10 x 8) x (1 x 3) = 240

Distributive

100

Define the Distributive Property in your own words.

The distributive property states that the sum of two or more numbers multiplied by a multiplier gives the same answer as multiplying the multiplier by each number.

200

True or false?

You can use the distributive property with subtraction.

True

300

Rewrite the following using the distributive property:

3(11 - 8)

3 x 11 - 3 x 8

400

Rewrite and solve the following equation using the distributive property:

2(21 - 14 + 7)

2 x 21 - 2 x 14 + 2 x 7 

42 - 28 + 14

= 28