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Math 71. 1.2 – Operations with Real Numbers and Simplifying Algebraic Expressions. Absolute Value. There are two ways to define absolute value: 1. means the distance from 0 to on the number line. ex : 2. ex: . Absolute Value.

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## Math 71

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**Math 71**1.2 – Operations with Real Numbers and Simplifying Algebraic Expressions**Absolute Value**There are two ways to define absolute value: 1. means the distance from 0 to on the number line. ex: 2. ex:**Absolute Value**There are two ways to define absolute value: 1. means the distance from 0 to on the number line. ex: 2. ex:**Absolute Value**There are two ways to define absolute value: 1. means the distance from 0 to on the number line. ex: 2. ex:**Absolute Value**There are two ways to define absolute value: 1. means the distance from 0 to on the number line. ex: 2. ex:**Absolute Value**There are two ways to define absolute value: 1. means the distance from 0 to on the number line. ex: 2. ex:**Absolute Value**There are two ways to define absolute value: 1. means the distance from 0 to on the number line. ex: 2. ex:**Addition**When adding same signs, we ___________, and when adding opposite signs, we ________________. ex:**Addition**add When adding same signs, we ___________, and when adding opposite signs, we ________________. ex:**Addition**add When adding same signs, we ___________, and when adding opposite signs, we ________________. ex: subtract**Addition**add When adding same signs, we ___________, and when adding opposite signs, we ________________. ex: subtract Keep common sign**Addition**add When adding same signs, we ___________, and when adding opposite signs, we ________________. ex: subtract Keep sign of**Addition**add When adding same signs, we ___________, and when adding opposite signs, we ________________. ex: subtract Keep sign of**Addition**add When adding same signs, we ___________, and when adding opposite signs, we ________________. ex: subtract Keep sign of**Addition Properties**1. and 2. and Note: and are called ________________________. ex: The additive inverse of is _______________. The additive inverse of is _______________. ex: Find if .**Addition Properties**1. and 2. and Note: and are called ________________________. ex: The additive inverse of is _______________. The additive inverse of is _______________. ex: Find if . additive inverses**Addition Properties**1. and 2. and Note: and are called ________________________. ex: The additive inverse of is _______________. The additive inverse of is _______________. ex: Find if . additive inverses**Addition Properties**1. and 2. and Note: and are called ________________________. ex: The additive inverse of is _______________. The additive inverse of is _______________. ex: Find if . additive inverses**Addition Properties**1. and 2. and Note: and are called ________________________. ex: The additive inverse of is _______________. The additive inverse of is _______________. ex: Find if . additive inverses**Addition Properties**1. and 2. and Note: and are called ________________________. ex: The additive inverse of is _______________. The additive inverse of is _______________. ex: Find if . additive inverses**Subtracting**We can define subtraction in terms of addition: ex:**Subtracting**We can define subtraction in terms of addition: ex:**Subtracting**We can define subtraction in terms of addition: ex:**Subtracting**We can define subtraction in terms of addition: ex:**Subtracting**We can define subtraction in terms of addition: ex:**Subtracting**We can define subtraction in terms of addition: ex:**Subtracting**We can define subtraction in terms of addition: ex:**Subtracting**We can define subtraction in terms of addition: ex:**Subtracting**We can define subtraction in terms of addition: ex:**Multiplying**When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex:**Multiplying**When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same**Multiplying**When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive**Multiplying**When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite**Multiplying**When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative**Multiplying**When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative**Multiplying**When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative**Multiplying**When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative**Multiplying**When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative**Multiplying**When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative**Multiplying**When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative**Multiplying**When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative**Multiplying**When multiplying ___________signs, the result is _________________. When multiplying ___________ signs, the result is _________________. ex: same positive opposite negative**Multiplication Properties**1. ex: 2. ex:**Multiplication Properties**1. ex: 2. ex:**Multiplication Properties**1. ex: 2. ex:**Multiplication Properties**1. ex: 2. ex:**Multiplication Properties**1. ex: 2. ex:**Dividing**We can define division in terms of multiplication: Note: and are ________________ of each other (also called _________________________) ex:**Dividing**We can define division in terms of multiplication: Note: and are ________________ of each other (also called _________________________) ex: reciprocals**Dividing**We can define division in terms of multiplication: Note: and are ________________ of each other (also called _________________________) ex: reciprocals multiplicative inverses

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