Properties of Real Numbers

Properties of Real Numbers

Multiple Choice

Does the commutative property work with subtraction?

Is 7-3 = 3-7?

• yes

• no

Multiple Choice

Which is an example of the commutative property?

• 1 = 1

• 1+3 = 2+2

• 2+5 = 5+2

Commutative Property of Addition

• The commutative property does not hold with subtraction. If we change the order of the numbers the answer will change. 

   $4\ \ -\ 1\ \ne\ 1\ -\ 4$  

• Commutative property states that a + b = b+ a.

Multiple Choice

Does the commutative property work with division?

• Yes

• No

Multiple Choice

Which is an example of commutative property of multiplication?

• 5x4 = 2x10

• 3 x 10 = 10+10+10

• 4+1=1+4

• 5x2 = 2x5

Commutative Propery of Multiplication

• Just like in subtraction, changing the orders of the numbers in division gives different answers.

   $20\div10\ne10\div20$  

Multiple Choice

Which is an example of associative property of addition?

• (5+2)+7 = 5 +(2+7)

• 5-3 = 3-5

• (5+1+4) = (5+1+4)

Multiple Choice

Which is an example of associative property of multiplication?

• 5 x (3x2) = (5x3)x2

• (15x2) = (5x3)x2

• (5x3x2)=(5x3x2)

Associative Property

• When three real numbers are added it makes no difference which are added first.

• When three real numbers are multiplied it makes no difference which are multiplied first.

Multiple Choice

Name the property for the expression

 $15+\left(5+19\right)=\left(15+5\right)+19$  

• associative property of multiplication

• commutative property of addition

• associative property of addition

Multiple Choice

Name the property for the expression

 $1\times5=5$  

• Multiplicative identity property

• additive inverse

• additive identity property

Multiple Choice

Name the property for the expression

 $22+11=11+22$  

• associative property of addition

• distributive property

• commutative property of addition

Multiple Choice

Name the property for the expression

 $0+14=14$  

• Additive identity property

• Multiplicative identity property

• associative property of addition

• commutative property of addition

Poll

How are you feeling about today's lesson?

• Terrific

• So So

• Not so good