1. What are integers? 201 4 -4 -201 -3 -43 3 43 Whole numbers Untouched
Integers are the set of whole numbers and their opposites

2. Fractions decimals Percents
What are NOT integers?
Fractions
decimals
Percents

3. The Big Question
What are integers and rational numbers and how do they relate to the world we live in?

4. What are Rational Numbers?
A rational number is a number than can be written as a/b where a and b are integers and not 0.
Rational Numbers
-4/3
-1.99
Integers
.25 -5 -⅖
Whole Numbers
-99 5
9,999
1.25 ⅗

5. What are Rational Numbers?
______________________________________________________________________
Rational Numbers
Integers
Whole Numbers

6. Get Ready For Practice!!
Class Zone

7. Identifying Properties
Page 186
Property Name
Example
Description
Inverse property of addition
Numbers: 5+ (-5)= 0
Algebra: a+ (-a) =0
The sum a number and it’s additive inverse or opposite is 0.
Identity property of addition
Numbers:-7+0=-7
Algebra: a+0=q
The sum of a number and the additive identity, 0 is the number
Inverse property of multiplication
Numbers:¾ • 4/3= 1
Algebra: a/b • b/a =1
The product of a non-zero number and it’s multiplicative inverse, or reciprocal is 1.
Identity property of multiplication
Numbers: 9•1=9
Algebra: a•1=a
The product of a number and the multiplicative identity, 1 is the number.

8. Commutative and Associative Properties
Page 186
Property Name
Example
Description
Commutative property of addition
5+6=6+5
You can add the sums of numbers in any order
Commutative property of multiplication
5•6=6•5
You can multiply terms in any order.
Associative property of addition
(5+6)+7=5+(6+7)
Changing the grouping of terms will not change the sum.
Associative property of multiplication
(5•6) •7=5• (6•7)
Changing the grouping of terms will not change the product.

9. Commutative Property Associative Property
You can add or multiply terms in any order
Associative Property
Changing the grouping of terms will not change the sum or product.

10. Identifying Properties
Page 186
Property Name
Example
Description
Inverse property of addition
The sum a number and it’s additive inverse or opposite is 0.
Identity property of addition
The sum of a number and the additive identity, 0 is the number
Inverse property of addition
The product of a non-zero number and it’s multiplicative inverse, or reciprocal is 1.
Identity property of multiplication
The product of a number and the multiplicative identity, 1 is the number.

11. Commutative and Associative Properties
Page 186
Property Name
Example
Description
Commutative property of addition
You can add the sums of numbers in any order
Commutative property of multiplication
You can multiply terms in any order.
Associative property of addition
Changing the grouping of terms will not change the sum.
Associative property of multiplication
Changing the grouping of terms will not change the product.