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

Fractions decimals Percents What are NOT integers? Fractions decimals Percents

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

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

What are Rational Numbers? ______________________________________________________________________ Rational Numbers Integers Whole Numbers

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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.

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.

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.

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.

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.