Download presentation

Presentation is loading. Please wait.

Published byIrea O'Donnell Modified over 3 years ago

1
**The absolute value of a number is its distance from zero.**

The symbol for absolute value is 6 = 6 -5 = 5 Absolute Value is always positive or zero.

2
**Where are the numbers that are 6 units from zero?**

Graphing Absolute Value Graph: Where are the numbers that are 6 units from zero? X = 6 OR 2 3 1 5 4 7 6 -1 -4 -2 -3 -5 -6 -7 2 3 1 5 4 7 6 -1 -4 -2 -3 -5 -6 -7 { 6, -6}

3
**Where are the numbers that are more than 3 units from zero?**

Graphing Absolute Value Graph: X 3 Where are the numbers that are more than 3 units from zero? OR To the left of -3 To the right of 3 2 3 1 5 4 7 6 -1 -4 -2 -3 -5 -6 -7 Do you want the -3? NO Do you want the 3? NO X < -3 OR X > 3

4
**Where are the numbers that are less than 3 units from zero?**

Graphing Absolute Value Graph: X ≤ 3 Where are the numbers that are less than 3 units from zero? To the right of -3 AND at the same time To the left of 3 2 3 1 5 4 7 6 -1 -4 -2 -3 -5 -6 -7 Do you want the 3? Yes Do you want the -3? Yes 2 3 1 5 4 7 6 -1 -4 -2 -3 -5 -6 -7 -3 X 3

5
**An expression that represents any real number except 0**

= positive # Could represent an expression that has a positive value or a negative value. If > 0 If < 0 or = positive # -( ) = positive # X = 3 If X > 0 If X< 0 A B or X = 3 -(X)= 3

6
**or X = 3 X = 3 -(X)= 3 A B -1(X)= 3 -1 -1 X = -3 A B AB If X > 0**

-5 -4 -3 -2 -1 1 2 3 4 5 B -5 -4 -3 -2 -1 1 2 3 4 5 AB -5 -4 -3 -2 -1 1 2 3 4 5 { 3, -3} Put together

7
**An expression that represents any real number except 0**

> positive # Could represent an expression that has a positive value or a negative value. If > 0 If < 0 or > positive # -( ) > positive # X 4 If X > 0 If X< 0 A B or X 4 -(X) 4

8
**or X 4 X 4 -(X) 4 A B -1(X) 4 -1 -1 X -4 A B AB**

IF YOU MULTIPLY OR DIVIDE BOTH SIDES OF AN INEQUALITY BY A NEGATIVE TURN THE INEQUALITY SIGN AROUND -1(X) 4 -1 -1 X -4 A -5 -4 -3 -2 -1 1 2 3 4 5 B -5 -4 -3 -2 -1 1 2 3 4 5 AB -5 -4 -3 -2 -1 1 2 3 4 5 X < -4 OR X > 4 Put together

9
**An expression that represents any real number except 0**

< positive # Could represent an expression that has a positive value or a negative value. If > 0 If < 0 or < positive # -( ) < positive # X 2 If X > 0 If X< 0 A B and X 2 -(X) 2

10
**and X 2 X 2 -(X) 2 A B -1(X) 2 -1 -1 X -2 A B AB**

If X > 0 X 2 and If X< 0 -(X) 2 A B IF YOU MULTIPLY OR DIVIDE BOTH SIDES OF AN INEQUALITY BY A NEGATIVE TURN THE INEQUALITY SIGN AROUND -1(X) 2 -1 -1 X -2 A -5 -4 -3 -2 -1 1 2 3 4 5 B -5 -4 -3 -2 -1 1 2 3 4 5 AB -5 -4 -3 -2 -1 1 2 3 4 5 -2 X 2 What’s the same?

11
** = Positive # > Positive # < Positive #**

OR - ( ) = Positive # > Positive # > Positive # OR - ( ) > Positive # < Positive # < Positive # AND - ( ) < Positive #

12
**or 2X -3 > 1 A B 2X -3 > 1 -(2X -3) > 1 -2X +3 > 1**

IF YOU MULTIPLY OR DIVIDE BOTH SIDES OF AN INEQUALITY BY A NEGATIVE TURN THE INEQUALITY SIGN AROUND 2X > 4 -2X > -2 2 2 -2 -2 X > 2 X < 1 A -5 -4 -3 -2 -1 1 2 3 4 5 B -5 -4 -3 -2 -1 1 2 3 4 5 AB -5 -4 -3 -2 -1 1 2 3 4 5 X < 1 OR X > 2 Put together

13
**or 5X -3 = 7 A B 5X -3 = 7 -(5X -3) = 7 -5X +3 = 7 +3 +3 -3 -3 5X =**

5X = 10 -5X = 4 5 5 -5 -5 = X 2 X = -.8 A -5 -4 -3 -2 -1 1 2 3 4 5 B -5 -4 -3 -2 -1 1 2 3 4 5 A B -5 -4 -3 -2 -1 1 2 3 4 5 { 2, -.8} Put together?

14
**and 3X +6 9 A B 3X +6 9 -(3X +6) 9 -3X - 6 9 -6 -6 +6 +6 3X**

+6 +6 3X 3 -3X 15 3 3 -3 -3 X 1 X -5 A -5 -4 -3 -2 -1 1 2 3 4 5 B -5 -4 -3 -2 -1 1 2 3 4 5 AB -5 -4 -3 -2 -1 1 2 3 4 5 -5 X 1 What’s the same?

15
**Graphing Absolute Value**

Absolute value is always a positive number or zero. Graph: 2X - 3 = - 6 Absolute value will never equal a negative number. NO SOLUTION 2 3 1 5 4 7 6 -1 -4 -2 -3 -5 -6 -7

16
**Absolute value is always a positive number or zero.**

Graphing Absolute Value Absolute value is always a positive number or zero. Graph: X - 5 -2 < Since absolute value is always positive or zero, it cannot be less than a negative number. NO SOLUTION 2 3 1 5 4 7 6 -1 -4 -2 -3 -5 -6 -7

17
**Absolute value is always a positive number or zero.**

Graphing Absolute Value Absolute value is always a positive number or zero. Graph: 3X+2 -2 ≥ Since absolute value is always positive or zero, it will ALWAYS be greater than ANY negative number. ALL Real Numbers will have an Absolute Value ≥ -2 2 3 1 5 4 7 6 -1 -4 -2 -3 -5 -6 -7 R

18
** ABSOLUTE VALUE SYMBOL: Distance from zero**

SYMBOL: Distance from zero -5 -4 -3 -2 -1 1 2 3 4 5 -1.5 1.5 OPPOSITES or ADDITIVE INVERSES Have the same absolute value -2 = 2 2 = 2

Similar presentations

OK

Copyright 2013, 2009, 2005, 2002 Pearson, Education, Inc.

Copyright 2013, 2009, 2005, 2002 Pearson, Education, Inc.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on hepatitis b vaccine Ppt on max life insurance Ppt on needle stick injury Nervous system for kids ppt on batteries Ppt on power transmission drives Ppt on way to success Ppt on all types of motion Ppt on classification of salts Ppt on tcp ip protocol port Ppt on 5 great scientists of india