Mary Pyo

Dividing Decimals

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 (29)  0 answersPost by Ma Songbo on February 7 at 01:37:44 AMgreat? 0 answersPost by Dmitry Kischukov on February 22, 2021thx it helped so much 2 answersLast reply by: Dmitry KischukovMon Feb 15, 2021 7:59 AMPost by Jason Sun on May 7, 2020I love math 2 answersLast reply by: Dmitry KischukovThu Feb 18, 2021 8:13 AMPost by Jason Sun on May 7, 2020:) 0 answersPost by jason kang on March 23, 2020Thanks. It helped me alot. 0 answersPost by Jared Zhou on July 14, 2019awesome!!!!!!!! 2 answersLast reply by: Thomas DongMon Feb 17, 2020 8:33 AMPost by Anders Jensen on September 8, 201777.4/11 is 7.036 .. i think u got mixed up.. but very well explained!! 0 answersPost by Colton Taylor on March 5, 2014You explain it so well. Thank you!!!! 5 answersLast reply by: Mingyang CenWed Aug 15, 2018 8:01 PMPost by Magesh Prasanna on May 16, 2013In example 2, the answer was 7.01$ and you said it is seven dollars and one cent but why you didn't say seven dollars and one hundredth cent.Both the statement mean same? 0 answersPost by Wasay Ahmad on December 14, 2012this is really nice i always hated division until now thanks so much 3 answersLast reply by: WeixuanfuWed Jul 29, 2020 5:17 PMPost by Henry Major on September 10, 2011I must say these video are very helpful. Thanks 0 answersPost by Josiah Edem Blood Dzraku on September 5, 2011you very good. i like how you teach.. it's very simple to understand. makes me want to learn more. i use to never like division but now i do. Thanks 2 answersLast reply by: Mingyang CenWed Aug 15, 2018 8:02 PMPost by gaby becerril on February 21, 2011Why did you move the decimal point behind the 22.

### Dividing Decimals

• Divisor: The number you are dividing by
• Dividend: The number you are dividing
• When dividing decimals, make the divisor a whole number by multiplying both the divisor and dividend by the same multiple of ten
• Place the decimal point in the same place right above the dividend
• Divide the numbers

### Dividing Decimals

42.5 ÷0.2
212.5
65.5 ÷0.5
131
Sharon bought 6 CDs for $45.60. How much does each CD cost? • 45.60 ÷6 7.6 John bought 2 CDs for$ 54.80. How much does each CD cost?
• 54.80 ÷2
27.4
Sharon bought 3 CDs for \$ 78.90. How much does each CD cost?
• 78.90 ÷3
26.3
[25.5/5]
5.1
[45.50/10]
4.55
[125.16/12]
10.43
46.012 ÷0.2
230.06
236.25 ÷0.25
945

*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.

### Dividing Decimals

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
• When Dividing Decimals 0:06
• Methods for Dividing Decimals
• Divisor and Dividend
• Example: 0.2 Divided by 10
• 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

### Transcription: Dividing Decimals

Welcome back to Educator.com; this lesson is on dividing decimals.0000

Make sure, when you are dividing decimals, that you apply the correct rules for it.0010

Don't get confused between when you add and subtract decimals and when you multiply decimals.0018

Dividing decimals is actually very different.0023

Before we begin, let's go over some words--divisor and dividend.0027

When divide two numbers together, if I have let's say 10 divided by 2,0034

this top number is the one that is going to go inside the box.0043

That is called the dividend.0050

This top number, the number that goes inside the box, is called the dividend.0052

The bottom number, the one that goes outside the box, is called the divisor.0057

Here is a divisor; here is a dividend.0063

When we divide decimals together, we have to make sure that the divisor becomes a whole number.0068

If this number right here is a decimal, then we have to change it into a whole number.0075

The way you do that is by multiplying both the divisor and the dividend by the same multiple of 10.0080

We don't care if this number is a decimal; it is only the divisor.0090

Let's say that the divisor is 0.2; it is 10 divided by 0.2.0096

That is a little high; 0.2; this is not a whole number.0105

We have a decimal; we have a number behind the decimal point.0114

I count how many numbers are behind that decimal point.0118

There is only one; there is one number.0122

That means I need to multiply this number by 10.0124

0.2, multiply it by 10 so that this will become a whole number0129

because 0.2 times 10 will just become 2.0138

If I have 0.22, I have two numbers behind the decimal point so I have to multiply it by 100.0143

There is two numbers behind the decimal point.0153

I have to have two 0s here as a multiple of 10.0155

That way this will become 22 or 22.0, same thing.0160

We will do a few examples of those.0170

For this one, I have to change the divisor to a whole number.0172

0.2, I have to multiply this by 10.0176

But that means I have to multiply the dividend by 10 also.0179

I can't just multiply one of these numbers by 10.0182

If I multiply 0.2 by 10, it becomes 2; 10 times 10 is 100.0185

This becomes 2; this becomes 100; this will be the actual problem.0193

When you find the answer for this, it is still going to be the same answer as if you were dividing this.0199

That is the rule; you have to make sure that this becomes a whole number.0208

Place the decimal point in the same place right above the dividend; the decimal point here.0213

We don't see a decimal point because it is a whole number.0219

If it is a whole number that doesn't show a decimal point, it is at the end.0222

It is right there; let me make this longer.0226

As long as it is behind the decimal point and at the end of a number,0231

I can add as many 0s as I want.0235

I can add a million 0s; it doesn't matter.0239

100.0 is the same thing as 100; here is a decimal point.0243

I am going to place a decimal point right above, right there.0247

I know that my answer is going to go on top here.0251

Let me give myself some room.0257

When I solve this, I know 2 goes into 10 five times.0267

0, bring down the 0; 2 goes into 0 zero times.0275

My answer just becomes 50; 2 times 50 is 100.0280

Or if I bring down this 0, again 2 goes into 0 zero times.0285

It is just going to be 50; the answer will be 50.0291

Again the first rule when you divide decimals together is to make the divisor a whole number by multiplying it,0295

multiplying this number and this number to the multiple of 10.0305

That decimal point will go behind the number; it becomes a whole number.0309

Once you multiply that same number to the dividend, you place a decimal point right above here.0315

Then you just divide it the same way.0321

Let's do a few examples; 26.2 divided 0.4.0323

The first number, this is the dividend; this is the divisor.0331

The dividend goes inside the box, 26.2; and then 0.4.0335

I have a decimal in my divisor; I have to make it a whole number.0346

In order to make this 0.4 a whole number, I have one number behind the decimal point.0353

I have to multiply it by 10; 0.4 times 10 is going to be 4.0359

Since I have one 0, I can move the decimal point one time to make it bigger.0368

It becomes 4.0374

If I am going to multiply this by 10, then I have to multiply the dividend by 10.0377

If you want to think of it this way, you can do that.0384

Or a shortcut would be just to move the decimal point once here.0388

Then move the decimal point for the dividend once also.0393

Let me just rewrite this; this becomes 4.0401

My dividend is 262 because the decimal point moved behind the 2.0404

It is right there; then I can place a 0 at the end of it.0412

The next thing I do is to make sure I bring up the decimal point so it is lined up.0418

Then I can just divide it the same way.0424

I know that 4 does not go into 20427

I can put a 0 there; or you don't have to.0429

4 goes into 26; 26 divided by 4.0431

How many times does 4 go into 26?0435

4 times 6 is 24; I am going to write that number right there.0439

24 subtracted; I get 2; I bring down this 2.0451

4 goes into 22 five times; that becomes 20.0457

Subtract again; 2; bring down this 0.0463

This 0 was not there; I placed it there.0468

Because it is behind the decimal point and it is at the end of a number, I can place as many 0s as I want.0471

I can bring down the 2; 4 goes into 20 five times.0477

That becomes 20; then I have 0.0483

I am done with the problem; my answer then becomes 65.5.0488

This is my answer; 26.2 divided by 0.4 is 65.5.0493

Sharon bought six CDs for 42 dollars and 8 cents.0505

How much does each CD cost?0508

If she has this much and she buys the six CDs, each CD costs the same amount.0512

42 dollars and 8 cents divided by 6.0520

Do 42 dollars and 8 cents divided by 6.0526

I don't have a decimal point here.0537

It is at the end; but I have a whole number.0540

I don't have to worry about changing this number, changing my divisor.0542

I can go ahead and just divide.0547

The next step would be to bring out the decimal point; don't forget that.0550

Then I can divide; 6 goes into 42 how many times?0555

Seven; 6 times 7 is 42; that becomes 0.0562

I have to bring down the other number 0.0568

6 goes into 0 zero times; that is 0; 0.0572

Bring down the 8; 6 goes into 8 one time; 6; 2.0577

I can add a 0 at the end of this0588

because it is behind the decimal point and it is at the end of a number.0590

I can bring down another 0.0593

I don't have to; I can just leave it like this.0595

But if I want to round this number, then I can just do the next step.0597

I can just do one more time; 6 goes into 20 how many times?0604

Three; that becomes 18; 2; I can just stop there.0610

Since I know I am dealing with money, I want to see how much each CD costs.0617

I know it is going to be in dollars.0622

Dollars only go to my hundredths place.0624

I only have two numbers after my decimal point.0627

How much is each CD going to cost?--7 dollars and 1 cent.0632

The only reason why I did one more number here was to see0639

if this was a 5 or greater, then this can round up to 2.0643

But it is smaller than 5; I can keep this as a 1.0648

It becomes 7 dollars and 1 cent; that is the cost of each CD.0652

My next example, 77.44 or 77 and 44 hundredths divided by 11.0660

77.44 divided by 11.0668

Rule number one, make sure this divisor is a whole number.0676

It is a whole number.0679

Step two, raise up my decimal point right there; now I can divide.0682

11 goes into 77 seven times; I subtract; this becomes 0; bring down the 4.0689

Fits into this number zero number of times; that becomes 0; subtract it.0701

I get 4; bring down this 4; 11 goes into 44 four times.0707

I get 0; 77.44 divided by 11 becomes 7.04.0716

My next example, I am going to do 45.218 divided by 0.23.0730

Or I can read this as 45 and 218 thousandths divided by 0.23 or 23 hundredths.0737

Remember the first rule in dividing decimals is to make sure that this number, my divisor, is a whole number.0756

It is not a whole number because there is numbers behind the decimal point.0763

I am going to count to see how many numbers I have behind the decimal point.0767

It is two; I have two numbers here.0772

What I am going to do is take that number, 0.23,0775

and multiply it by a multiple of 10 with this number many of 0s.0783

There is two numbers; multiply it by 100 with two 0s; this becomes 23.0789

If multiply my divisor by that number, I have to multiply my dividend by that number also.0795

I can just take this number, move it two places this way.0804

That is the same thing as multiplying it by 100.0807

Then I have to take this decimal point; I have to move it two places.0810

This was where my decimal point was originally.0817

It moves right there, two numbers.0821

Whatever you do to one number, you have to do to the other one.0825

If I write this over, it is going to be 4521.8 divided by 23.0830

When I divide this and get my answer, it is going to be0847

the same thing as if I divide that and get my answer.0850

My second rule is to bring up the decimal point; then I can go ahead and divide.0854

23 goes into 45 one time; this becomes 23.0862

I subtract it; I get 22; I bring down the 2.0871

How many times does 23 go into 222?0876

If you round this to 25, I know that 25 goes into 100 four times.0881

This is 200 and something; I can... let's see.0888

If I just try let's say 9; 23 times...0891

Or if I do 23 times 10, it is 230; that is too big.0900

I know it is going to be a little bit less than that which is 9.0905

23 times 9 is 27; 18, 19, 20... 207.0910

9 goes there; 207 goes there; subtract it; I get... I have to borrow here.0919

This is 12; this is 1; you subtract it; I get 5; this is 1 and 0.0931

What is my next number?--1; I am going to bring down the 1.0941

Again let's see how many times does 23 fit into 151?0945

Again 25 into 100 is four times; let's say 4; let's try 6.0952

On the side, I am going to do 23 times 6; 18.0962

Then let's try the next one; 23 times 7; that is 21... 14, 15, 16.0970

Which one do you think it is?0978

Is it going to be 6 or is it going to be 7?0979

We know it is going to be 6 because 7 is too big.0982

This number is too big; it can't be bigger than this number.0986

I am going to write the 6 here; it is 138.0990

If I subtract it... let me give myself some more room.0997

If I subtract it here, this will be 3... I am just borrowing.1010

This is 4; this becomes 11; 13; what happens next?1017

I have to bring this 8 down; 23 goes into 138 how many times?1025

Look at this; it is the same number.1035

I know that 23 times 6 is 138; 6 there.1037

Let me rewrite this right here; 138; 23 times 6 was what?1044

138; if I subtract it, then I get 0.1049

I have no more numbers to bring down.1054

I have no remainder; my answer is 196.6.1056

That is it for this lesson on dividing decimals.1065

Thank you for watching Educator.com.1068

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