Mary Pyo

Discount and Sales Tax

Slide Duration:

Section 1: Algebra and Decimals
Expressions and Variables

5m 57s

Intro
0:00
Vocabulary
0:06
Variable
0:09
Expression
0:48
Numerical Expression
1:08
Algebraic Expression
1:35
Word Expression
2:04
Extra Example 1: Evaluate the Expression
2:27
Extra Example 2: Evaluate the Expression
3:16
Extra Example 3: Evaluate the Expression
4:04
Extra Example 4: Evaluate the Expression
4:59
Exponents

5m 34s

Intro
0:00
What Exponents Mean
0:07
Example: Ten Squared
0:08
Extra Example 1: Exponents
0:50
Extra Example 2: Write in Exponent Form
1:58
Extra Example 3: Using Exponent and Base
2:37
Extra Example 4: Write the Equal Factors
4:26
Order of Operations

8m 40s

Intro
0:00
Please Excuse My Dear Aunt Sally
0:07
Step 1: Parenthesis
1:16
Step 2: Exponent
1:25
Step 3: Multiply and Divide
1:30
2:00
Example: Please Excuse My Dear Aunt Sally
2:26
Extra Example 1: Evaluating Expression
3:37
Extra Example 2: Evaluating Expression
4:59
Extra Example 3: Evaluating Expression
5:34
Extra Example 4: Evaluating Expression
6:25
Comparing and Ordering Decimals

13m 37s

Intro
0:00
Place Value
0:13
Examples: 1,234,567.89
0:19
Which is the Larger Value?
1:33
Which is Larger: 10.5 or 100.5
1:46
Which is Larger: 1.01 or 1.10
2:24
Which is Larger: 44.40 or 44.4
4:20
Which is Larger: 18.6 or 16.8
5:18
Extra Example 1: Order from Least to Greatest
5:55
Extra Example 2: Order from Least to Greatest
7:56
Extra Example 3: Order from Least to Greatest
9:16
Extra Example 4: Order from Least to Greatest
10:42
Rounding Decimals

12m 31s

Intro
0:00
Decimal Place Value
0:06
Example: 12,3454.6789
0:07
How to Round Decimals
1:17
Example: Rounding 1,234.567
1:18
Extra Example 1: Rounding Decimals
3:47
Extra Example 2: Rounding Decimals
6:10
Extra Example 3: Rounding Decimals
7:45
Extra Example 4: Rounding Decimals
9:56

11m 30s

Intro
0:00
0:06
Align the Decimal Point First
0:12
0:47
Place the Decimal Point in the Same Place
0:55
Check by Estimating
1:09
Examples
1:28
Add: 3.45 + 7 + 0.835
1:30
Find the Difference: 351.4 - 65.25
3:34
5:32
Extra Example 2: How Much Money?
6:09
Extra Example 3: Subtracting Decimals
7:20
9:32
Multiplying Decimals

10m 30s

Intro
0:00
Multiply the Decimals
0:05
Methods for Multiplying Decimals
0:06
Example: 1.1 x 6
0:38
Extra Example 1: Multiplying Decimals
1:51
Extra Example 2: Work Money
2:49
Extra Example 3: Multiplying Decimals
5:45
Extra Example 4: Multiplying Decimals
7:46
Dividing Decimals

17m 49s

Intro
0:00
When Dividing Decimals
0:06
Methods for Dividing Decimals
0:07
Divisor and Dividend
0:37
Example: 0.2 Divided by 10
1:35
Extra Example 1 : Dividing Decimals
5:24
Extra Example 2: How Much Does Each CD Cost?
8:22
Extra Example 3: Dividing Decimals
10:59
Extra Example 4: Dividing Decimals
12:08
Section 2: Number Relationships and Fractions
Prime Factorization

7m

Intro
0:00
Terms to Review
0:07
Prime vs. Composite
0:12
Factor
0:54
Product
1:15
Factor Tree
1:39
Example: Prime Factorization
2:01
Example: Prime Factorization
2:43
Extra Example 1: Prime Factorization
4:08
Extra Example 2: Prime Factorization
5:05
Extra Example 3: Prime Factorization
5:33
Extra Example 4: Prime Factorization
6:13
Greatest Common Factor

12m 47s

Intro
0:00
Terms to Review
0:05
Factor
0:07
Example: Factor of 20
0:18
Two Methods
0:59
Greatest Common Factor
1:00
Method 1: GCF of 15 and 30
1:37
Method 2: GCF of 15 and 30
2:58
Extra Example 1: Find the GCF of 6 and 18
5:16
Extra Example 2: Find the GCF of 36 and 27
7:43
Extra Example 3: Find the GCF of 6 and 18
9:18
Extra Example 4: Find the GCF of 54 and 36
10:30
Fraction Concepts and Simplest Form

10m 3s

Intro
0:00
Fraction Concept
0:10
Example: Birthday Cake
0:28
Example: Chocolate Bar
2:10
Simples Form
3:38
Example: Simplifying 4 out of 8
3:46
Extra Example 1: Graphically Show 4 out of 10
4:41
Extra Example 2: Finding Fraction Shown by Illustration
5:10
Extra Example 3: Simplest Form of 5 over 25
7:02
Extra Example 4: Simplest Form of 14 over 49
8:30
Least Common Multiple

14m 16s

Intro
0:00
Term to Review
0:06
Multiple
0:07
Example: Multiples of 4
0:15
Two Methods
0:41
Least Common Multiples
0:44
Method 1: LCM of 6 and 10
1:09
Method 2: LCM of 6 and 10
2:56
Extra Example 1: LCM of 12 and 15
5:09
Extra Example 2: LCM of 16 and 20
7:36
Extra Example 3 : LCM of 15 and 25
10:00
Extra Example 4 : LCM of 12 and 18
11:27
Comparing and Ordering Fractions

13m 10s

Intro
0:00
Terms Review
0:14
Greater Than
0:16
Less Than
0:40
Compare the Fractions
1:00
Example: Comparing 2/4 and 3/4
1:08
Example: Comparing 5/8 and 2/5
2:04
Extra Example 1: Compare the Fractions
3:28
Extra Example 2: Compare the Fractions
6:06
Extra Example 3: Compare the Fractions
8:01
Extra Example 4: Least to Greatest
9:37
Mixed Numbers and Improper Fractions

12m 49s

Intro
0:00
Fractions
0:10
Mixed Number
0:21
Proper Fraction
0:47
Improper Fraction
1:30
Switching Between
2:47
Mixed Number to Improper Fraction
2:53
Improper Fraction to Mixed Number
4:41
Examples: Switching Fractions
6:37
Extra Example 1: Mixed Number to Improper Fraction
8:57
Extra Example 2: Improper Fraction to Mixed Number
9:37
Extra Example 3: Improper Fraction to Mixed Number
10:21
Extra Example 4: Mixed Number to Improper Fraction
11:31
Connecting Decimals and Fractions

15m 1s

Intro
0:00
Examples: Decimals and Fractions
0:06
More Examples: Decimals and Fractions
2:48
Extra Example 1: Converting Decimal to Fraction
6:55
Extra Example 2: Converting Fraction to Decimal
8:45
Extra Example 3: Converting Decimal to Fraction
10:28
Extra Example 4: Converting Fraction to Decimal
11:42
Section 3: Fractions and Their Operations
Adding and Subtracting Fractions with Same Denominators

5m 17s

Intro
0:00
Same Denominator
0:11
Numerator and Denominator
0:18
Example: 2/6 + 5/6
0:41
Extra Example 1: Add or Subtract the Fractions
2:02
Extra Example 2: Add or Subtract the Fractions
2:45
Extra Example 3: Add or Subtract the Fractions
3:17
Extra Example 4: Add or Subtract the Fractions
4:05
Adding and Subtracting Fractions with Different Denominators

23m 8s

Intro
0:00
Least Common Multiple
0:12
LCM of 6 and 4
0:31
From LCM to LCD
2:25
3:12
Extra Example 1: Add or Subtract
6:23
Extra Example 2: Add or Subtract
9:49
Extra Example 3: Add or Subtract
14:54
Extra Example 4: Add or Subtract
18:14

19m 44s

Intro
0:00
Example
0:05
0:17
Extra Example 1: Adding Mixed Numbers
1:57
Extra Example 2: Subtracting Mixed Numbers
8:13
Extra Example 3: Adding Mixed Numbers
12:01
Extra Example 4: Subtracting Mixed Numbers
14:54
Multiplying Fractions and Mixed Numbers

21m 32s

Intro
0:00
Multiplying Fractions
0:07
Step 1: Change Mixed Numbers to Improper Fractions
0:08
Step2: Multiply the Numerators Together
0:56
Step3: Multiply the Denominators Together
1:03
Extra Example 1: Multiplying Fractions
1:37
Extra Example 2: Multiplying Fractions
6:39
Extra Example 3: Multiplying Fractions
10:20
Extra Example 4: Multiplying Fractions
13:47
Dividing Fractions and Mixed Numbers

18m

Intro
0:00
Dividing Fractions
0:09
Step 1: Change Mixed Numbers to Improper Fractions
0:15
Step 2: Flip the Second Fraction
0:27
Step 3: Multiply the Fractions
0:52
Extra Example 1: Dividing Fractions
1:23
Extra Example 2: Dividing Fractions
5:06
Extra Example 3: Dividing Fractions
9:34
Extra Example 4: Dividing Fractions
12:06
Distributive Property

11m 5s

Intro
0:00
Distributive Property
0:06
Methods of Distributive Property
0:07
Example: a(b)
0:35
Example: a(b+c)
0:49
Example: a(b+c+d)
1:22
Extra Example 1: Using Distributive Property
1:56
Extra Example 2: Using Distributive Property
4:36
Extra Example 3: Using Distributive Property
6:39
Extra Example 4: Using Distributive Property
8:19
Units of Measure

16m 36s

Intro
0:00
Length
0:05
Feet, Inches, Yard, and Mile
0:20
Millimeters, Centimeters, and Meters
0:43
Mass
2:57
Pounds, Ounces, and Tons
3:03
Grams and Kilograms
3:38
Liquid
4:11
Gallons, Quarts, Pints, and Cups
4:14
Extra Example 1: Converting Units
7:02
Extra Example 2: Converting Units
9:31
Extra Example 3: Converting Units
12:21
Extra Example 4: Converting Units
14:05
Section 4: Positive and Negative Numbers
Integers and the Number Line

13m 24s

Intro
0:00
What are Integers
0:06
Integers are all Whole Numbers and Their Opposites
0:09
Absolute Value
2:35
Extra Example 1: Compare the Integers
4:36
Extra Example 2: Writing Integers
9:24
Extra Example 3: Opposite Integer
10:38
Extra Example 4: Absolute Value
11:27

16m 5s

Intro
0:00
Using a Number Line
0:04
Example: 4 + (-2)
0:14
Example: 5 + (-8)
1:50
3:00
3:10
3:37
4:44
Extra Example 1: Add the Integers
8:21
Extra Example 2: Find the Sum
10:33
Extra Example 3: Find the Value
11:37
Extra Example 4: Add the Integers
13:10
Subtracting Integers

15m 25s

Intro
0:00
How to Subtract Integers
0:06
Two-dash Rule
0:16
Example: 3 - 5
0:44
Example: 3 - (-5)
1:12
Example: -3 - 5
1:39
Extra Example 1: Rewrite Subtraction to Addition
4:43
Extra Example 2: Find the Difference
7:59
Extra Example 3: Find the Difference
9:08
Extra Example 4: Evaluate
10:38
Multiplying Integers

7m 33s

Intro
0:00
When Multiplying Integers
0:05
If One Number is Negative
0:06
If Both Numbers are Negative
0:18
Examples: Multiplying Integers
0:53
Extra Example 1: Multiplying Integers
1:27
Extra Example 2: Multiplying Integers
2:43
Extra Example 3: Multiplying Integers
3:13
Extra Example 4: Multiplying Integers
3:51
Dividing Integers

6m 42s

Intro
0:00
When Dividing Integers
0:05
Rules for Dividing Integers
0:41
Extra Example 1: Dividing Integers
1:01
Extra Example 2: Dividing Integers
1:51
Extra Example 3: Dividing Integers
2:21
Extra Example 4: Dividing Integers
3:18
Integers and Order of Operations

11m 9s

Intro
0:00
Combining Operations
0:21
Solve Using the Order of Operations
0:22
Extra Example 1: Evaluate
1:18
Extra Example 2: Evaluate
4:20
Extra Example 3: Evaluate
6:33
Extra Example 4: Evaluate
8:13
Section 5: Solving Equations
Writing Expressions

9m 15s

Intro
0:00
Operation as Words
0:05
Operation as Words
0:06
Extra Example 1: Write Each as an Expression
2:09
Extra Example 2: Write Each as an Expression
4:27
Extra Example 3: Write Each Expression Using Words
6:45
Writing Equations

18m 3s

Intro
0:00
Equation
0:05
Definition of Equation
0:06
Examples of Equation
0:58
Operations as Words
1:39
Operations as Words
1:40
Extra Example 1: Write Each as an Equation
3:07
Extra Example 2: Write Each as an Equation
6:19
Extra Example 3: Write Each as an Equation
10:08
Extra Example 4: Determine if the Equation is True or False
13:38

24m 53s

Intro
0:00
Solving Equations
0:08
inverse Operation of Addition and Subtraction
0:09
Extra Example 1: Solve Each Equation Using Mental Math
4:15
Extra Example 2: Use Inverse Operations to Solve Each Equation
5:44
Extra Example 3: Solve Each Equation
14:51
Extra Example 4: Translate Each to an Equation and Solve
19:57
Solving Multiplication Equation

19m 46s

Intro
0:00
Multiplication Equations
0:08
Inverse Operation of Multiplication
0:09
Extra Example 1: Use Mental Math to Solve Each Equation
3:54
Extra Example 2: Use Inverse Operations to Solve Each Equation
5:55
Extra Example 3: Is -2 a Solution of Each Equation?
12:48
Extra Example 4: Solve Each Equation
15:42
Solving Division Equation

17m 58s

Intro
0:00
Division Equations
0:05
Inverse Operation of Division
0:06
Extra Example 1: Use Mental Math to Solve Each Equation
0:39
Extra Example 2: Use Inverse Operations to Solve Each Equation
2:14
Extra Example 3: Is -6 a Solution of Each Equation?
9:53
Extra Example 4: Solve Each Equation
11:50
Section 6: Ratios and Proportions
Ratio

40m 21s

Intro
0:00
Ratio
0:05
Definition of Ratio
0:06
Examples of Ratio
0:18
Rate
2:19
Definition of Rate
2:20
Unit Rate
3:38
Example: $10 / 20 pieces 5:05 Converting Rates 6:46 Example: Converting Rates 6:47 Extra Example 1: Write in Simplest Form 16:22 Extra Example 2: Find the Ratio 20:53 Extra Example 3: Find the Unit Rate 22:56 Extra Example 4: Convert the Unit 26:34 Solving Proportions 17m 22s Intro 0:00 Proportions 0:05 An Equality of Two Ratios 0:06 Cross Products 1:00 Extra Example 1: Find Two Equivalent Ratios for Each 3:21 Extra Example 2: Use Mental Math to Solve the Proportion 5:52 Extra Example 3: Tell Whether the Two Ratios Form a Proportion 8:21 Extra Example 4: Solve the Proportion 13:26 Writing Proportions 22m 1s Intro 0:00 Writing Proportions 0:08 Introduction to Writing Proportions and Example 0:10 Extra Example 1: Write a Proportion and Solve 5:54 Extra Example 2: Write a Proportion and Solve 11:19 Extra Example 3: Write a Proportion for Word Problem 17:29 Similar Polygons 16m 31s Intro 0:00 Similar Polygons 0:05 Definition of Similar Polygons 0:06 Corresponding Sides are Proportional 2:14 Extra Example 1: Write a Proportion and Find the Value of Similar Triangles 4:26 Extra Example 2: Write a Proportional to Find the Value of x 7:04 Extra Example 3: Write a Proportion for the Similar Polygons and Solve 9:04 Extra Example 4: Word Problem and Similar Polygons 11:03 Scale Drawings 13m 43s Intro 0:00 Scale Drawing 0:05 Definition of a Scale Drawing 0:06 Example: Scale Drawings 1:00 Extra Example 1: Scale Drawing 4:50 Extra Example 2: Scale Drawing 7:02 Extra Example 3: Scale Drawing 9:34 Probability 11m 51s Intro 0:00 Probability 0:05 Introduction to Probability 0:06 Example: Probability 1:22 Extra Example 1: What is the Probability of Landing on Orange? 3:26 Extra Example 2: What is the Probability of Rolling a 5? 5:02 Extra Example 3: What is the Probability that the Marble will be Red? 7:40 Extra Example 4: What is the Probability that the Student will be a Girl? 9:43 Section 7: Percents Percents, Fractions, and Decimals 35m 5s Intro 0:00 Percents 0:06 Changing Percent to a Fraction 0:07 Changing Percent to a Decimal 1:54 Fractions 4:17 Changing Fraction to Decimal 4:18 Changing Fraction to Percent 7:50 Decimals 10:10 Changing Decimal to Fraction 10:11 Changing Decimal to Percent 12:07 Extra Example 1: Write Each Percent as a Fraction in Simplest Form 13:29 Extra Example 2: Write Each as a Decimal 17:09 Extra Example 3: Write Each Fraction as a Percent 22:45 Extra Example 4: Complete the Table 29:17 Finding a Percent of a Number 28m 18s Intro 0:00 Percent of a Number 0:06 Translate Sentence into an Equation 0:07 Example: 30% of 100 is What Number? 1:05 Extra Example 1: Finding a Percent of a Number 7:12 Extra Example 2: Finding a Percent of a Number 15:56 Extra Example 3: Finding a Percent of a Number 19:14 Extra Example 4: Finding a Percent of a Number 24:26 Solving Percent Problems 32m 31s Intro 0:00 Solving Percent Problems 0:06 Translate the Sentence into an Equation 0:07 Extra Example 1: Solving Percent Problems 0:56 Extra Example 2: Solving Percent Problems 14:49 Extra Example 3: Solving Percent Problems 23:44 Simple Interest 27m 9s Intro 0:00 Simple Interest 0:05 Principal 0:06 Interest & Interest Rate 0:41 Simple Interest 1:43 Simple Interest Formula 2:23 Simple Interest Formula: I = prt 2:24 Extra Example 1: Finding Simple Interest 3:53 Extra Example 2: Finding Simple Interest 8:08 Extra Example 3: Finding Simple Interest 12:02 Extra Example 4: Finding Simple Interest 17:46 Discount and Sales Tax 17m 15s Intro 0:00 Discount 0:19 Discount 0:20 Sale Price 1:22 Sales Tax 2:24 Sales Tax 2:25 Total Due 2:59 Extra Example 1: Finding the Discount 3:43 Extra Example 2: Finding the Sale Price 6:28 Extra Example 3: Finding the Sale Tax 11:14 Extra Example 4: Finding the Total Due 14:08 Section 8: Geometry in a Plane Intersecting Lines and Angle Measures 24m 17s Intro 0:00 Intersecting Lines 0:07 Properties of Lines 0:08 When Two Lines Cross Each Other 1:55 Angles 2:56 Properties of Angles: Sides, Vertex, and Measure 2:57 Classifying Angles 7:18 Acute Angle 7:19 Right Angle 7:54 Obtuse Angle 8:03 Angle Relationships 8:56 Vertical Angles 8:57 Adjacent Angles 10:38 Complementary Angles 11:52 Supplementary Angles 12:54 Extra Example 1: Lines 16:00 Extra Example 2: Angles 18:22 Extra Example 3: Angle Relationships 20:05 Extra Example 4: Name the Measure of Angles 21:11 Angles of a Triangle 13m 35s Intro 0:00 Angles of a Triangle 0:05 All Triangles Have Three Angles 0:06 Measure of Angles 2:16 Extra Example 1: Find the Missing Angle Measure 5:39 Extra Example 2: Angles of a Triangle 7:18 Extra Example 3: Angles of a Triangle 9:24 Classifying Triangles 15m 10s Intro 0:00 Types of Triangles by Angles 0:05 Acute Triangle 0:06 Right Triangle 1:14 Obtuse Triangle 2:22 Classifying Triangles by Sides 4:18 Equilateral Triangle 4:20 Isosceles Triangle 5:21 Scalene Triangle 5:53 Extra Example 1: Classify the Triangle by Its Angles and Sides 6:34 Extra Example 2: Sketch the Figures 8:10 Extra Example 3: Classify the Triangle by Its Angles and Sides 9:55 Extra Example 4: Classify the Triangle by Its Angles and Sides 11:35 Quadrilaterals 17m 41s Intro 0:00 Quadrilaterals 0:05 Definition of Quadrilaterals 0:06 Parallelogram 0:45 Rectangle 2:28 Rhombus 3:13 Square 3:53 Trapezoid 4:38 Parallelograms 5:33 Parallelogram, Rectangle, Rhombus, Trapezoid, and Square 5:35 Extra Example 1: Give the Most Exact Name for the Figure 11:37 Extra Example 2: Fill in the Blanks 13:31 Extra Example 3: Complete Each Statement with Always, Sometimes, or Never 14:37 Area of a Parallelogram 12m 44s Intro 0:00 Area 0:06 Definition of Area 0:07 Area of a Parallelogram 2:00 Area of a Parallelogram 2:01 Extra Example 1: Find the Area of the Rectangle 4:30 Extra Example 2: Find the Area of the Parallelogram 5:29 Extra Example 3: Find the Area of the Parallelogram 7:22 Extra Example 4: Find the Area of the Shaded Region 8:55 Area of a Triangle 11m 29s Intro 0:00 Area of a Triangle 0:05 Area of a Triangle: Equation and Example 0:06 Extra Example 1: Find the Area of the Triangles 1:31 Extra Example 2: Find the Area of the Figure 4:09 Extra Example 3: Find the Area of the Shaded Region 7:45 Circumference of a Circle 15m 4s Intro 0:00 Segments in Circles 0:05 Radius 0:06 Diameter 1:08 Chord 1:49 Circumference 2:53 Circumference of a Circle 2:54 Extra Example 1: Name the Given Parts of the Circle 6:26 Extra Example 2: Find the Circumference of the Circle 7:54 Extra Example 3: Find the Circumference of Each Circle with the Given Measure 11:04 Area of a Circle 14m 43s Intro 0:00 Area of a Circle 0:05 Area of a Circle: Equation and Example 0:06 Extra Example 1: Find the Area of the Circle 2:17 Extra Example 2: Find the Area of the Circle 5:47 Extra Example 3: Find the Area of the Shaded Region 9:24 Section 11: Geometry in Space Prisms and Cylinders 21m 49s Intro 0:00 Prisms 0:06 Polyhedron 0:07 Regular Prism, Bases, and Lateral Faces 1:44 Cylinders 9:37 Bases and Altitude 9:38 Extra Example 1: Classify Each Prism by the Shape of Its Bases 11:16 Extra Example 2: Name Two Different Edges, Faces, and Vertices of the Prism 15:44 Extra Example 3: Name the Solid of Each Object 17:58 Extra Example 4: Write True or False for Each Statement 19:47 Volume of a Rectangular Prism 8m 59s Intro 0:00 Volume of a Rectangular Prism 0:06 Volume of a Rectangular Prism: Formula 0:07 Volume of a Rectangular Prism: Example 1:46 Extra Example 1: Find the Volume of the Rectangular Prism 3:39 Extra Example 2: Find the Volume of the Cube 5:00 Extra Example 3: Find the Volume of the Solid 5:56 Volume of a Triangular Prism 16m 15s Intro 0:00 Volume of a Triangular Prism 0:06 Volume of a Triangular Prism: Formula 0:07 Extra Example 1: Find the Volume of the Triangular Prism 2:42 Extra Example 2: Find the Volume of the Triangular Prism 7:21 Extra Example 3: Find the Volume of the Solid 10:38 Volume of a Cylinder 15m 55s Intro 0:00 Volume of a Cylinder 0:05 Volume of a Cylinder: Formula 0:06 Extra Example 1: Find the Volume of the Cylinder 1:52 Extra Example 2: Find the Volume of the Cylinder 7:38 Extra Example 3: Find the Volume of the Cylinder 11:25 Surface Area of a Prism 23m 28s Intro 0:00 Surface Area of a Prism 0:06 Surface Area of a Prism 0:07 Lateral Area of a Prism 2:12 Lateral Area of a Prism 2:13 Extra Example 1: Find the Surface Area of the Rectangular Prism 7:08 Extra Example 2: Find the Lateral Area and the Surface Area of the Cube 12:05 Extra Example 3: Find the Surface Area of the Triangular Prism 17:13 Surface Area of a Cylinder 27m 41s Intro 0:00 Surface Area of a Cylinder 0:06 Introduction to Surface Area of a Cylinder 0:07 Surface Area of a Cylinder 1:33 Formula 1:34 Extra Example 1: Find the Surface Area of the Cylinder 5:51 Extra Example 2: Find the Surface Area of the Cylinder 13:51 Extra Example 3: Find the Surface Area of the Cylinder 20:57 Section 10: Data Analysis and Statistics Measures of Central Tendency 24m 32s Intro 0:00 Measures of Central Tendency 0:06 Mean 1:17 Median 2:42 Mode 5:41 Extra Example 1: Find the Mean, Median, and Mode for the Following Set of Data 6:24 Extra Example 2: Find the Mean, Median, and Mode for the Following Set of Data 11:14 Extra Example 3: Find the Mean, Median, and Mode for the Following Set of Data 15:13 Extra Example 4: Find the Three Measures of the Central Tendency 19:12 Histograms 19m 43s Intro 0:00 Histograms 0:05 Definition and Example 0:06 Extra Example 1: Draw a Histogram for the Frequency Table 6:14 Extra Example 2: Create a Histogram of the Data 8:48 Extra Example 3: Create a Histogram of the Following Test Scores 14:17 Box-and-Whisker Plot 17m 54s Intro 0:00 Box-and-Whisker Plot 0:05 Median, Lower & Upper Quartile, Lower & Upper Extreme 0:06 Extra Example 1: Name the Median, Lower & Upper Quartile, Lower & Upper Extreme 6:04 Extra Example 2: Draw a Box-and-Whisker Plot Given the Information 7:35 Extra Example 3: Find the Median, Lower & Upper Quartile, Lower & Upper Extreme 9:31 Extra Example 4: Draw a Box-and-Whiskers Plots for the Set of Data 12:50 Stem-and-Leaf Plots 17m 42s Intro 0:00 Stem-and-Leaf Plots 0:05 Stem-and-Leaf Plots 0:06 Extra Example 1: Use the Data to Create a Stem-and-Leaf Plot 2:28 Extra Example 2: List All the Numbers in the Stem-and-Leaf Plot in Order From Least to Greatest 7:02 Extra Example 3: Create a Stem-and-Leaf Plot of the Data & Find the Median and the Mode. 8:59 The Coordinate Plane 19m 59s Intro 0:00 The Coordinate System 0:05 The Coordinate Plane 0:06 Quadrants, Origin, and Ordered Pair 0:50 The Coordinate Plane 7:02 Write the Coordinates for Points A, B, and C 7:03 Extra Example 1: Graph Each Point on the Coordinate Plane 9:03 Extra Example 2: Write the Coordinate and Quadrant for Each Point 11:05 Extra Example 3: Name Two Points From Each of the Four Quadrants 13:13 Extra Example 4: Graph Each Point on the Same Coordinate Plane 17:47 Section 11: Probability and Discrete Mathematics Organizing Possible Outcomes 15m 35s Intro 0:00 Compound Events 0:08 Compound Events 0:09 Fundamental Counting Principle 3:35 Extra Example 1: Create a List of All the Possible Outcomes 4:47 Extra Example 2: Create a Tree Diagram For All the Possible Outcomes 6:34 Extra Example 3: Create a Tree Diagram For All the Possible Outcomes 10:00 Extra Example 4: Fundamental Counting Principle 12:41 Independent and Dependent Events 35m 19s Intro 0:00 Independent Events 0:11 Definition 0:12 Example 1: Independent Event 1:45 Example 2: Two Independent Events 4:48 Dependent Events 9:09 Definition 9:10 Example: Dependent Events 10:10 Extra Example 1: Determine If the Two Events are Independent or Dependent Events 13:38 Extra Example 2: Find the Probability of Each Pair of Events 18:11 Extra Example 3: Use the Spinner to Find Each Probability 21:42 Extra Example 4: Find the Probability of Each Pair of Events 25:49 Disjoint Events 12m 13s Intro 0:00 Disjoint Events 0:06 Definition and Example 0:07 Extra Example 1: Disjoint & Not Disjoint Events 3:08 Extra Example 2: Disjoint & Not Disjoint Events 4:23 Extra Example 3: Independent, Dependent, and Disjoint Events 6:30 Probability of an Event Not Occurring 20m 5s Intro 0:00 Event Not Occurring 0:07 Formula and Example 0:08 Extra Example 1: Use the Spinner to Find Each Probability 7:24 Extra Example 2: Probability of Event Not Occurring 11:21 Extra Example 3: Probability of Event Not Occurring 15:51 Loading... This is a quick preview of the lesson. For full access, please Log In or Sign up. For more information, please see full course syllabus of Basic Math Bookmark & Share Embed ## Share this knowledge with your friends! ## Copy & Paste this embed code into your website’s HTML Please ensure that your website editor is in text mode when you paste the code. (In Wordpress, the mode button is on the top right corner.) × • - Allow users to view the embedded video in full-size. Since this lesson is not free, only the preview will appear on your website. • ## Discussion • ## Answer Engine • ## Study Guides • ## Practice Questions • ## Download Lecture Slides • ## Table of Contents • ## Transcription • ## Related Books Lecture Comments (5)  0 answersPost by Kenneth Geller on September 19, 2018Some of the practice questions are incorrect as whomever is doing them is not reading the query accurately. 0 answersPost by Karina Herrera on January 5, 2017Your lessons are fantastic, thank you so much! 2 answersLast reply by: JennyFri Nov 13, 2020 5:46 PMPost by Corinne Lee on July 26, 2011great vid ### Discount and Sales Tax #### Related Links • Discount: The amount of decrease, which is subtracted from the regular price • Discount = Percent of discount × Regular price • Sale price = Regular price – discount • Sales tax: The amount of the rate of the cost, which is added to the total • Sales tax = Rate × Total cost • Total due = Total cost + Sales tax ### Discount and Sales Tax A pair of shoes that regularly sell for$60 are on sale for 10% off. Find the discount.
• 10% = 0.10
• discount = ($60)(0.10)$6
A pair of shoes that regularly sell for $120 are on sale for 20% off. Find the discount. • 20% = 0.20 • discount = ($120)(0.20)
$24 A math textbook is 15% off. If the original price is$100, what is the sale price?
• 15% = 0.15
• discount = ($100)(0.15)$15
A history textbook is 30% off. If the original price is $150, what is the sale price? • 30% = 0.30 • discount = ($150)(0.30)
$45 A car is 12% off. If the original price is$3500, what is the sale price?
• 12% = 0.12
• discount = ($3500)(0.12)$420
A shirt costs $20. Find the sales tax if the rate is 15%. • 15% = .15 • sales tax = ($20)(.15)
$3 A shirt costs$65. Find the sales tax if the rate is 60%.
• 60% = .60
• sales tax = ($65)(.60)$39
A shirt costs $55. Find the sales tax if the rate is 20%. • 20% = .20 • sales tax = ($55)(.20)
$11 Find the total cost of a$35 CD with 10% sales tax.
• 10% = .10
• sales tax = ($35)(.10) =$3.50
• total = $35.00 +$3.50
$38.50 Find the total cost of a$65 book with 20% sales tax
• 20% = .20
• sales tax = ($65)(.20) =$13
• total = $65 +$13
\$78.00

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

### Discount and Sales Tax

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• Discount 0:19
• Discount
• Sale Price
• Sales Tax 2:24
• Sales Tax
• Total Due
• Extra Example 1: Finding the Discount 3:43
• Extra Example 2: Finding the Sale Price 6:28
• Extra Example 3: Finding the Sale Tax 11:14
• Extra Example 4: Finding the Total Due 14:08

### Transcription: Discount and Sales Tax

Welcome back to Eduator.com.0000

For the next lesson, we are going to go over discount and sales tax0002

and how to calculate the amount of discount and how much sales tax we have to pay.0005

We all have bought something that was on sale.0011

We all have had to pay sales tax so this should be a little bit familiar.0014

First let's go over discount.0021

The discount we know is how much we have to subtract from our total amount that we have to pay.0023

It is the amount of decrease; decrease is getting less.0031

We are going to have to subtract from the regular price.0035

Before we subtract however much we are going to be saving,0038

we have to be able to figure out how to find how much we are going to save.0043

Meaning if you are going to buy something,0048

let's say you want to buy a soda and that soda is 10 percent off.0051

How are you going to know how much you are going to subtract?0057

How much less you are going to pay for that soda?0060

Discount is the percent of the discount multiplied to the regular price.0065

How much you are supposed to be paying for that0074

multiplied to the percent will be how much you are going to save.0077

To find how much you are going to be paying, your new price, your sale price,0084

it is going to be the regular price, how much you were supposed to pay,0091

minus how much you are going to save, the discount amount.0095

Again discount is money; percent of discount, we know it is percent.0099

Times the regular price; this is also money.0110

The sale price, we know this is all going to be in money.0115

The important thing to remember is that to figure out how much your discount is going to be,0123

you have to multiply the percent times the regular price.0129

All of this is going to equal this, the discount.0134

Sales tax; sales tax is the amount that you have to pay based on the total cost.0146

There is a percent; you have to pay a percent of that total cost.0157

When you multiply the rate, that percent, with the total cost,0163

that is going to give you how much you have to pay in sales tax.0173

For sales tax, once you figure out you have to pay however much in sales in the tax,0182

How much your total balance came out to, how much everything came out to, plus the sales tax.0195

You have to pay that together; that will be how much you now owe.0200

Again the rate, the percent, times the total cost is going to give you0207

how much you have to pay, how much additional amount that you have to pay.0212

That is all going to equal that right there.0218

Let's do a few examples.0224

A pair of shoes that regularly sell for 50 dollars are on sale for 10 percent off.0226

Find the discount; regular price is 50 dollars.0232

If it is not on sale, then you would be paying the 50 dollars.0239

10 percent off; find the discount.0243

We want to know how much we are going to be saving.0245

To find the discount, you are going to multiply the regular price, the 50 dollars,0252

times it by the percent of the discount; that is 10 percent.0264

Remember whenever you use percents in some kind of equation,0272

when you are solving with percent, you have to change it to decimal.0281

10 percent in decimal, you put the decimal point at the end0284

because we don't see one so it is always at the end.0292

You are going to move it two spaces to the left because remember decimal is small number.0294

Think of decimal as small.0303

You have to make the number smaller by moving it to the left.0305

This is going to be 50 times 0.10 or 0.1; remember 0.0309

If it is at the end of a number and it is behind the decimal point, then you can drop it.0318

That is going to equal the discount.0325

50 times 0.10 or 0.1; I will just put 0.10.0328

That is 0; 0; 1 times 0 is 0; 1 times 5 is 5.0337

You can put a 0 there; you can put a 0 there.0345

We add; it is going to be 5; 0; 0.0348

How many numbers do you have behind decimal points?--we have two.0352

Start at the end here; you are going to go one, two.0355

My discount is going to be 5.00 which is the same thing in money.0362

It is going to be 5 dollars.0371

That is how much the discount is going to be.0373

That is how much you are saving because again 10 percent of the regular price is 5 dollars.0374

That is the discount amount.0381

That is all they are asking for; find the discount; 5 dollars.0383

The next example, a math textbook is 5 percent off.0389

If the original price is 100 dollars, what is the sale price?0393

The textbook originally cost 100 dollars; 100 dollars.0398

To find the discount... they are asking for the new price.0406

The sale price is the new price.0410

After you take away how much you are saving, that is going to be the new price.0412

Before we do that, we have to know what we are going to subtract.0417

What is the discount amount?0421

Discount is going to be the original price, the 100 dollars0424

multiplied to the discount rate, percent of discount; 5 percent.0431

Again we have to change this to a decimal.0440

You can't solve anything out with percents.0442

5 percent to decimal is going to be... start here.0445

You are going to go one, two; 0.05.0449

That is 100 times 0.05; then just multiply it; 100 times 0.05.0457

That is 0 times 5 is 0; that is 0; 5 times 1 is 5.0470

Here it is just 0, 0, 0; it is not going to change anything.0477

We can write it in if you want; fill in the empty spaces with 0s.0482

Add it; it is going to be 5, 0, 0.0486

I don't have to add this; 0 in the front is nothing.0490

How many numbers do I have behind decimal points?--I have two only.0494

Here nothing; here two; in all, I have two.0500

Start here; you are going to go one, two; place it there.0506

This is going to be 5 dollars.0511

Whenever you multiply a decimal by 100, remember you can just take this decimal point.0523

Whenever you multiply a decimal number or any number with a number that is a multiple of 10,0532

meaning 10, 100, 1000, 10000, 100000, then however many number of 0s you have0538

is how many spaces you are going to move to the right.0548

Because if you are multiplying, then you are getting bigger so you have to move to the right.0551

That will be two 0s; it is going to go one, two.0556

It is going to be 5.05 which is that right there.0560

Let's say we are going to multiply this number 0.05 times 10.0565

Let's say you are going to multiply it by 10.0571

10 only has one 0; then you would move this decimal place over one time.0573

It would be 0.5 or 0.5 if you multiply it by 10.0579

If you multiply it by 1000, you have three 0s.0584

You would move the decimal point over one, two, three times.0587

That will be 50; that is a shortcut.0591

Again that is only when you have 1 with 0s, a number like 10 or 100 or 1000, so on.0595

My discount amount is 5 dollars; that is how much I am saving.0602

I have to take the original price, how much I am supposed to be paying.0607

The sale price then is my 100 dollars or the original price of 100 dollars0613

minus however much I am going to be saving, the discount.0624

My new amount, the new price that I have to pay, 100 minus 5 is 95 dollars.0630

If you want to solve it out, you can change this to a 10.0645

This becomes 9; 10 minus 5 is 5; bring down the 9.0653

95 dollars; that is my new price.0663

Let's go over sales tax now.0677

A shirt cost 10 dollars; find the sales tax if the rate is 10 percent.0681

Now we have to actually pay more because sales tax we have to0688

add to our balance or add to how much we have to pay.0691

The original cost is 10 dollars.0697

To find how much the sales tax is going to be, I am going to take that 10 dollars.0700

Then multiply it to the 10 percent, the rate, the sales tax rate.0713

Again I want to change this percent to a decimal; 10 percent to decimal.0721

Start here; you are going to go one, two; 0.10 or 0.1.0727

Again the 0 is at the end of a number behind the decimal point.0733

You can just drop it; 10 times 0.10 or 0.1.0736

Look we can use our shortcut rule because we have a decimal0749

or we have a number that is being multiplied to 10, 1 with a 0.0752

How many 0s do I see here?--just one.0758

I can take this decimal point; I can just move it over one space.0761

If I were to multiply this number by 100, I have two 0s.0769

I can move this over two spaces to the right.0775

Be careful you don't move it to the left.0778

If you move it to the left, you are going to make your number smaller.0780

You have to move it to the right so that you want a bigger whole number.0784

Again 100, you are going to move it two spaces over.0791

If it is 1000, you have three 0s in 1000.0792

You are going to move it over three spaces.0796

You have to fill in your empty spaces with 0s.0798

Let's get rid of that 100; 10 times 0.10 or 0.1 is 1.0.0803

Remember I move the decimal place over once because of that number.0816

It is 1.0 which is the same thing as 1.0820

My sales tax is going to be 1; let me move this over.0826

Give my dollar sign some room; my sales tax is going to be 1 dollar.0834

That is how much I have to pay in sales tax0838

for my shirt that costs 10 dollars if the tax rate is 10 percent.0840

The next example, we are going to buy a CD that costs 14 dollars.0850

It is not on sale even though that is better on sale.0855

It has 10 percent sales tax; let's see, sales tax.0860

What are we looking for?--total amount that we are going to end up paying.0874

Before we figure out the total amount, we need to know how much we are going to pay for sales tax.0878

The total due or the cost is going to be 14 dollars.0887

Times it by the sales tax rate which is 10 percent.0893

Again change this to a decimal; this is 14; this is one, two.0900

That is 0.10 or 0.1; 0.10, you can just drop the 0 if you want.0907

0; 0; 1 times 4 is 4; 1 times 1 is 1.0920

Put 0s in those spaces; add them; 0 plus 1 is 1.0928

0 plus 4 is 4; 0 plus 0 is 0; 140.0933

How many numbers do I have behind decimal points? I have two.0938

From here, I am going to go one, two.0943

It is going to be 1.40; that is money.0947

A dollar forty is how much I have to pay in addition to my 14 dollars I have to pay for the CD.0959

Total due, total is going to be the 14 dollars plus the dollar forty.0969

14 is the same thing as 14.00; plus 1.40.0982

When you add numbers with decimal points, you have to make sure0991

the decimal points are lined up, the two are lined up like this.0997

All the rest of the numbers are aligned also.1002

This is 0; this is 4; bring down the decimal point.1006

4 plus 1 is 5; 1; bring it down.1012

How much am I paying?--15 dollars and 40 cents.1016

That is how much I have to pay for a 14 dollar CD if I have to pay for sales tax.1025

That is it for this lesson; thank you for watching Educator.com.1032

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