Properties of Numbers

Properties of Numbers

OBJ: To recognize the properties of equality and identity properties.

Equivalent Expressions

 $4a\ +\ 6a$  and  $10a$  are equivalent expressions because the represent the same number.

Definitions associated with the Identity Properties of Addition & Multiplication

Additive Identity is zero

Multiplicative Identity is one

Multiplicative Inverse is also called the Reciprocal of a number.

The product of a number and it's reciprocal is 1

 $ex.\ \ \frac{3}{4}\times\frac{4}{3}=\frac{12}{12}=1$  

Multiple Choice

Name the property shown

 $4\ +5\ =\ 5\ +\ 4$  

• Commutative Property of Addition

• Associative Property of Addition

• Additive Inverse

• Additive Identity

Multiple Choice

Name the property shown

 $23\ +\ 0\ =\ 23$  

• Commutative Property of Addition

• Associative Property of Addition

• Additive Inverse

• Additive Identity

Multiple Choice

Name the property shown

 $3+\ \left(4\ +\ 5\right)\ =\ \left(3\ +\ 4\right)\ +5$  

• Commutative Property of Addition

• Associative Property of Addition

• Additive Inverse

• Additive Identity

Multiple Choice

Name the property shown

 $7\ +\ \left(-7\right)=0$  

• Commutative Property of Addition

• Associative Property of Addition

• Additive Inverse

• Additive Identity

Multiple Choice

Name the property shown

 $23\times0=0$  

• Commutative Property of Multiplication

• Associative Property of Multiplication

• Multiplication Property of Zero

• Multiplicative Identity

Multiple Choice

Name the property shown

 $3\left(3x\ -\ 8\right)\ =\ 9x\ -\ 24$  

• Commutative Property of Addition

• Distributive Property

• Additive Inverse

• Multiplicative Inverse

Multiple Choice

Name the property shown

 $8\times1=8$  

• Commutative Property of Multiplication

• Associative Property of Addition

• Multiplicative Inverse

• Multiplicative Identity

Multiple Choice

Name the property shown

 $5\times3\times2=2\times5\times3$  

• Commutative Property of Addition

• Associative Property of Addition

• Commutative Property of Multiplication

• Distributive Property

Multiple Choice

Name the property shown

 $3\left(7\times5\right)=\left(3\times7\right)\times5$  

• Commutative Property of Multiplication

• Associative Property of Addition

• Additive Inverse

• Associative Property of Multiplication

Properties with Operations Activities 10/2

• Quizziz on Properties of Numbers

• ALEKS 60 minute requirement

• Enjoy your weekend!