Math Properties

Commutative Property

100

5 x 3 = 3 x ?

5

200

True or False: If you know 4 x 6, you know 6 x 4.

True

300

4 + 6 = 6 + 4 

is which property?

Commutative Property of Addition

400

Give an example of the Commutative Property of Multiplication.

ab=ba, 2 x 3 = 3 x 2,

*Any problem that has the order switched is appropriate.*

500

Jones goes to the store to get a 16 x 20 filter. The store clerk gives him a 20 x 16 filter. Why is this the correct filter?

A filter is a rectangle, so it can measure either 16 x 20 or 20 x 16 because they are the same measurement. 

Associative Property

100

Is this an example of the Associative Property of Addition?

(8 + 9) + 4 = 8 + (9 + 4)

Yes, the numbers are the same on both sides, and the parentheses moved.

200

(4 + 5) + 9 = 4 + (a + 9) 

a = ?

5

300

Is this the Associative Property of Addition? 

3 + (2 + 1) = 3 +(1 + 2)

No, this is the Commutative Property of Addition.

400

In the problem 9 + 3 + 7, what should you add first to make the problem easier? 

9 + (3 + 7) = 10 + 9 = 19 😀

500

Explain why the movement of the parentheses does not change the answer on the right and left side of the equal sign.

The parentheses group numbers together, which means that these numbers are added first. The order in which all of the numbers are added together does not matter, because you still get the same total.

Distributive Property

100

True or false? 

3(4 + b) = 12 + 3b

True

200

5(b + 7) = 5b + ?

35

300

Explain the Distributive Property

Multiply the outside term by each of the inside terms.

400

Give an example of the distributive property.

3(2 + 5) = 6 + 15

500

Distribute: 3(b + 10)

3b + 30

Identity Property

100

13 x 1 = 13 is which Identity Property?

Identity Property of Multiplicatoin 

200

Give an example of the Identity Property of Addition using the variable x. 

x + 0 = x

300

Is 5 x 0 = 0 the Identity Property of Multiplication?

No, it is the Zero Property. 

400

How does the Identity Property of Addition differ from the Identity Property of Multiplication?  

For addition you add 0 to the number or variable; for multiplication you multiply the number or variable by 1. 

500

Define the Identity Properties. 

Any number times 1 or plus 0 is that number; it stays the same. 

Name that property

100

(3 + 2) + 7 = 3 + (2 + 7)

Associative Property of Addition

200

19 + 0 = 19

Identity Property of Addition

300

12(2 - y) = 24 - 12y

Distributive Property

400

(8 x 2) x 6 = 6 x (8 x 2)

Commutative Property of Multiplication

500

2(3 + 6) = (2 x 3)+(2 x 6)

Distributive Property