Multiplicative Comparison (Grade 4)
Related Pages More Lessons for Grade 4 Common Core for Grade 4 Common Core Worksheets for Grade 4 Common Core Worksheets for all Grades
These lessons, with videos, examples, and solutions, help Grade 4 students learn to interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
Common Core: 4.OA.1
Suggested Learning Targets
- I can explain how a multiple equation can be interpreted as a comparison such as Jason is 4 times as old as Ben.
- I can write an equation for a situation involving multiplicative comparison.
The following diagrams give examples of Multiplicative Comparison: Phrases used, Model Diagram, Multiplication Equation for a Word Problem. Scroll down the page for more examples and solutions.
Printable Worksheets involving Multiplicative Comparison Measurement Word Problems
Multiplicative Comparison using writing How to use models, illustrations and writing to solve multiplicative comparison questions? Things to remember:
- Multiplicative comparison means you are comparing two things together that need to be multiplied.
- Multiplicative comparison questions are usually written in word problems that have this format: Statement, Statement, Question.
- We use the two statements to determine the number sentence or equation.
- An equation is just like a number sentence but it includes letters.
- Darlene picked 7 apples. Juan picked 4 times as many as Darlene. How many apples did Juan pick?
- Joelle read 9 books in the fall. George read 7 times as many books. How many books did George read?
- Sarah is 12 years old. George is g years old. Sarah is 3 times as old as George. How old is George?
Writing Equations with Multiplicative Comparison Problems Things to remember:
- The letter is called a variable.
- Suzie is 4 feet tall. There is a tree in her yard that is 9 times taller than she is. How tall is the tree in Suzie’s yard?
- The tree in Suzie’s yard is 36 feet tall. The tree is 9 times as tall as Suzie. How tall is Suzie?
- Suzie is 4 feet tall. The tree in her yard is 36 feet tall. How much taller is the tree than Suzie?
Multiplicative Comparison Multiplicative comparison problems compare a characteristic of two objects using multiplication. Sometimes we know the value of the object that is bigger/older/faster, sometime we know the value of the object that is smaller/younger/slower and sometimes we know how many times bigger/older/faster one object is over the other? Use a variable for the value you don’t know and fill in the rest of the equation.
Examples: Write an equation and solve for the variable.
- Mrs. K is five times as old as her son. If she is 35, how old is her son?
- Mrs. L has two dogs. Scruffy is 12 inches high at the shoulder and Tuffy is 24 inches high at the shoulders. How much bigger than Scruffy is Tuffy?
The following activities are from Howard County Public School System
Activity 1: Write a multiplication equation to match each comparison statement.
Activity 2: Hannah was doing a report on animals’ sleep habits. She made the charts below to show the number of hours certain animals usually sleep each day.
Fill in the blanks to make the statements true.
A possum sleeps ______ times as many hours a day as a guinea pig.
A bat sleeps ______ times as many hours per day as a cow.
Write a multiplication equation to show the relationship between the length of time a gray seal sleeps and the length of time a possum sleeps. ________ x ________ = ________
When Hannah was reading about donkeys, she said, “I can’t believe that goats sleep 5 times as many hours per day as donkeys.” Find the number of hours per day a donkey sleeps. Show your thinking below using words, numbers, and/or pictures.
A donkey sleeps _______ hours per day.
Activity 3: Last weekend, Cassidy, Jefferson, and Braden played three basketball games against their cousins, Sammy, Kara, and Mitchell. The chart below shows how many baskets each were able to make during their three games.
Fill in each blank with a player’s name or a number to make each comparison statement true. Below each comparison statement, write a multiplication equation to show that the statement is true.
statement : ________________ made three times as many baskets as Sammy. multiplication equation : _______________________
statement : Cassidy made ______ times as many baskets as Mitchell. multiplication equation : _______________________
statement : Jefferson made _____ times as many baskets as _______________. multiplication equation : _______________________
statement : Sammy made double the number of baskets _____________ made. multiplication equation : _______________________
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McGraw Hill My Math Grade 3 Answer Key Pdf | McGraw Hill My Math Grade 3 Answers Volume 1 & 2
Do you feel it is difficult to educate kids in an engaging manner? If yes, then we suggest you follow our page. Students who are studying grade 3 can prepare math concepts clearly and get a strong foundation by accessing McGraw Hill My Math Volume 1 & 2 Grade 3 Answer Key . Download McGraw Hill My Math Grade 3 Solution Key Volume 1 & 2 for free and educate your children. Practice Chapterwise McGraw-Hill My Math 3rd Grade Answers and understand the primary school math concepts within less time.
McGraw Hill My Math Volume 1 & 2 Grade 3 Answer Key | McGraw-Hill My Math 3rd Grade Answers
All the McGraw Hill My Math Volume 1 & 2 Grade 3 Solutions are designed as per the Common Core standards so prepare well. McGraw Hill My Math 3rd Grade Answers Chapterwise are prepared by the subject experts. McGraw Hill My Math Volume 1 Solution Key includes the chapters such as Place Value, Addition, Subtraction, Multiplication and Division, and McGraw Hill My Math Volume 2 Solution Key includes Fractions, Measurement, Geometry, Perimeter and Area, Represent and Interpret Data. Students can click on the chapter link and practice the questions and also you have an option to test your knowledge by solving the questions in the review test.
McGraw-Hill My Math Grade 3 Volume 1 Answer Key
McGraw-Hill My Math Grade 3 Answer Key Chapter 1 Place Value
- Chapter 1 Place Value
- Lesson 1 Place Value Through Thousands
- Lesson 2 Compare Numbers
- Lesson 3 Older Numbers
- Lesson 4 Round to the Nearest Ten
- Lesson 5 Round to the Nearest Hundred
- Lesson 6 Problem-Solving Investigation: Use the Four-Step Plan
- Check My Progress
- Chapter 1 Review Answer Key
McGraw Hill My Math Grade 3 Answer Key Pdf Chapter 2 Addition
- Chapter 2 Addition
- Lesson 1 Addition Properties
- Lesson 2 Patterns in the Addition Table
- Lesson 3 Addition Patterns
- Lesson 4 Add Mentally
- Lesson 5 Estimate Sums
- Lesson 6 Use Models to Add
- Lesson 7 Add Three-Digit Numbers
- Lesson 8 Add Four Digit Numbers
- Lesson 9 Problem-Solving Investigation: Reasonable Answers
- Chapter 2 Review Answer Key
McGraw-Hill My Math Grade 3 Volume 1 Answers Key Chapter 3 Subtraction
- Chapter 3 Subtraction
- Lesson 1 Subtract Mentally
- Lesson 2 Estimate Differences
- Lesson 3 Problem-Solving Investigation: Estimator Exact Answer
- Lesson 4 Subtract with Regrouping
- Lesson 5 Subtract Three-Digit Numbers
- Lesson 6 Subtract Four-Digit Numbers
- Lesson 7 Subtract Across Zeros
- Chapter 3 Review Test
McGra w Hill My Math Volume 1 Grade 3 Answer Key Chapter 4 Understand Multiplication
- Chapter 4 Understand Multiplication
- Lesson 1 Model Multiplication
- Lesson 2 Multiplication as Repeated Addition
- Lesson 3 Multiply with Arrays
- Lesson 4 Arrays and Multiplication
- Lesson 5 Problem-Solving Investigation: Make a Table
- Lesson 6 Use Multiplication to Find Combinations
- Chapter 4 Review Test
McGraw-Hill My Math 3rd Grade Volume 1 Answer Key Chapter 5 Understand Division
- Chapter 5 Understand Division
- Lesson 1 Model Division
- Lesson 2 Division as Equal Sharing
- Lesson 3 Relate Division and Subtraction
- Lesson 4 Relate Division and Multiplication
- Lesson 5 Inverse Operations
- Lesson 6 Problem-Solving Investigation: Use Models
- Chapter 5 Review Test
McGraw Hill My Math Grade 3 Volume 1 Pdf Chapter 6 Multiplication and Division Patterns
- Chapter 6 Multiplication and Division Patterns
- Lesson 1 Patterns in the Multiplication Table
- Lesson 2 Multiply by 2
- Lesson 3 Divide by 2
- Lesson 4 Multiply by 5
- Lesson 5 Divide by 5
- Lesson 6 Problem-Solving Investigation: Look for a Pattern
- Lesson 7 Multiply by 10
- Lesson 8 Multiples of 10
- Lesson 9 Divide by 10
- Chapter 6 Review Test
McGraw-Hill My Math, Grade 3 Volume 1 Teacher Edition Chapter 7 Multiplication and Division
- Chapter 7 Multiplication and Division
- Lesson 1 Multiply by 3
- Lesson 2 Divide by 3
- Lesson 3 Double a Known Fact
- Lesson 4 Multiply by 4
- Lesson 5 Divide by 4
- Lesson 6 Problem-Solving Investigation: Extra or Missing Information
- Lesson 7 Multiply by 0 and 1
- Lesson 8 Divide with 0 and 1
- Chapter 7 Review Test
McGraw-Hill My Math Grade 3 Volume 2 Answer Key
McGraw Hill My Math Grade 3 Pdf Answer Key Chapter 8 Apply Multiplication and Division
- Chapter 8 Apply Multiplication and Division
- Lesson 1 Multiply by 6
- Lesson 2 Multiply by 7
- Lesson 3 Divide by 6 and 7
- Lesson 4 Multiply by 8
- Lesson 5 Multiply by 9
- Lesson 6 Divide by 8 and 9
- Lesson 7 Problem-Solving Investigation: Make an Organized List
- Lesson 8 Multiply by 11 and 12
- Lesson 9 Divide by 11 and 12
- Chapter 8 Review Answer Key
McGraw Hill My Math Grade 3 Answers Chapter 9 Properties and Equations
- Chapter 9 Properties and Equations
- Lesson 1 Take Apart to Multiply
- Lesson 2 Two Distributive Property
- Lesson 3 Multiply Three Factors
- Lesson 4 The Associative Property
- Lesson 5 Write Expressions
- Lesson 6 Evaluate Expressions
- Lesson 7 Write Equations
- Lesson 8 Solve Two-Step Word Problems
- Lesson 9 Problem-Solving Investigation: Use Logical Reasoning
- Chapter 9 Review Answer Key
McGraw Hill My Math Grade 3 Volume 2 Pdf Chapter 10 Fractions
- Chapter 10 Fractions
- Lesson 1 Unit Fractions
- Lesson 2 Part of a Whole
- Lesson 3 Part of a Set
- Lesson 4 Problem-Solving Investigation: Draw a Diagram
- Lesson 5 Fractions on a Number Line
- Lesson 6 Equivalent Fractions
- Lesson 7 Fractions as One Whole
- Lesson 8 Compare Fractions
- Chapter 3 Review Answer Key
McGraw-Hill My Math, Grade 3 Volume 2 Teacher Edition Chapter 11 Measurement
- Chapter 11 Measurement
- Lesson 1 Estimate and Measure Capacity
- Lesson 2 Solve Capacity Problems
- Lesson 3 Estimate and Measure Mass
- Lesson 4 Solve Mass Problems
- Lesson 5 Tell Time to the Minute
- Lesson 6 Time Intervals
- Lesson 7 Problem-Solving Investigation: Work Backward
- Chapter 11 Review Answer Key
McGraw-Hill My Math Grade 3 Volume 2 Answers Key Chapter 12 Represent and Interpret Data
- Chapter 12 Represent and Interpret Data
- Lesson 1 Collect and Record Data
- Lesson 2 Draw Scaled Picture Graphs
- Lesson 3 Draw Scaled Bar Graphs
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- Lesson 5 Draw and Analyze Line Plots
- Lesson 6 Measure to Halves and Fourths of an Inch
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- Lesson 8 Problem-Solving Investigation: Solve a Simpler Problem
- Chapter 12 Review Answer Key
McGraw Hill My Math Volume 2 Grade 3 Answer Key Chapter 13 Perimeter and Area
- Chapter 13 Perimeter and Area
- Lesson 1 Find Perimeter
- Lesson 2 Perimeter
- Lesson 3 Understand Area
- Lesson 4 MeasureArea
- Lesson 5 Tile Rectangles to Find Area
- Lesson 6 Area of Rectangles
- Lesson 7 Area and the Distributive Property
- Lesson 8 Area of Composite Figures
- Lesson 9 Area and Perimeter
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- Chapter 13 Review Answer Key
McGraw-Hill My Math 3rd Grade Volume 2 Answer Key Chapter 14 Geometry
- Chapter 14 Geometry
- Lesson 1 Angles
- Lesson 2 Polygons
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McGraw-Hill My Math Grade 4 Volume 1
Textbook: mcgraw-hill my math grade 4 volume 1 isbn: 9780021150236.
Use the table below to find videos, mobile apps, worksheets and lessons that supplement McGraw-Hill My Math Grade 4 Volume 1 book.
Chapter 1: Place Value
Lesson 1: place value, lesson 2: read and write multi-digit numbers, lesson 3: compare numbers, lesson 4: order numbers, lesson 5: use place value to round, chapter 2: add and subtract whole numbers, lesson 1: addition properties and subtraction rules, lesson 2: addition and subtraction patterns, lesson 3: add and subtract mentally, lesson 4: estimate sums and difference, lesson 5: add whole numbers, lesson 6: subtract whole numbers, lesson 7: subtract across zeros, lesson 8: solve multi-step word problems, chapter 3: understand multiplication and division, lesson 1: relate multiplication and division, lesson 2: relate division and subtraction, lesson 3: multiplication as comparison, lesson 4: compare to solve problems, lesson 5: multiplication properties and division rules, lesson 6: the associative property of multiplication, lesson 7: factors and multiples, chapter 4: multiply with one-digit numbers, lesson 1: multiples of 10, 100, and 1,000, lesson 2: round to estimate products, lesson 3: hands on: use place value to multiply, lesson 4: hands on: use models to multiply, lesson 5: multiply by a two-digit number, lesson 6: hands on: model regrouping, lesson 7: the distributive property, lesson 8: multiply with regrouping, lesson 9: multiply by a multi-digit number, lesson 10: multiply across zeros, chapter 5: multiply with two-digit numbers, lesson 1: multiply by tens, lesson 2: estimate products, lesson 3: hands on: use the distributive property to multiply, lesson 4: multiply by a two-digit number, lesson 5: solve multi-step word problems, chapter 6: divide by a one-digit number, lesson 1: divide multiples of 10, 100, and 1,000, lesson 2: estimate quotients, lesson 3: hands on: use place value to divide, lesson 4: divide with remainders, lesson 5: interpret remainders, lesson 6: place the first digit, lesson 7: hands on: distributive property and partial quotients, lesson 8: divide greater numbers, lesson 9: quotients with zeros, lesson 10: solve multi-step word problems, chapter 7: patterns and sequences, lesson 1: nonnumeric patterns, lesson 2: numeric patterns, lesson 3: sequences, lesson 4: addition and subtraction rules, lesson 5: multiplication and division rules, lesson 6: order of operations, lesson 7: hands on: equations with two operations, lesson 8: equations with multiple operations.
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Go Math Grade K Answer Key
- Chapter 1 Represent, Count, and Write Numbers 0 to 5
- Chapter 2 Compare Numbers to 5
- Chapter 3 Represent, Count, and Write Numbers 6 to 9
- Chapter 4 Represent and Compare Numbers to 10
- Chapter 5 Addition
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- Chapter 7 Represent, Count, and Write 11 to 19
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- Chapter 1 Addition Concepts
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- Chapter 11 Three-Dimensional Geometry
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- Chapter 1 Number Concepts
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Grade 3 HMH Go Math – Answer Keys
- Chapter 1: Addition and Subtraction within 1,000
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- Chapter 3: Understand Multiplication
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- Chapter 5: Use Multiplication Facts
- Chapter 6: Understand Division
- Chapter 7: Division Facts and Strategies
- Chapter 8: Understand Fractions
- Chapter 9: Compare Fractions
- Chapter 10: Time, Length, Liquid Volume, and Mass
- Chapter 11: Perimeter and Area
- Chapter 12:Two-Dimensional Shapes
Grade 3 HMH Go Math – Extra Practice Questions and Answers
- Chapter 1: Addition and Subtraction within 1,000 Extra Practice
- Chapter 2: Represent and Interpret Data Extra Practice
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- Chapter 4: Multiplication Facts and Strategies Extra Practice
- Chapter 5: Use Multiplication Facts Extra Practice
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Common Core Grade 4 HMH Go Math – Answer Keys
- Chapter 1 Place Value, Addition, and Subtraction to One Million
- Chapter 2 Multiply by 1-Digit Numbers
- Chapter 3 Multiply 2-Digit Numbers
- Chapter 4 Divide by 1-Digit Numbers
- Chapter 5 Factors, Multiples, and Patterns
- Chapter 6 Fraction Equivalence and Comparison
- Chapter 7 Add and Subtract Fractions
- Chapter 8 Multiply Fractions by Whole Numbers
- Chapter 9 Relate Fractions and Decimals
- Chapter 10 Two-Dimensional Figures
- Chapter 11 Angles
- Chapter 12Relative Sizes of Measurement Units
- Chapter 13 Algebra: Perimeter and Area
Grade 4 Homework Practice FL.
Common Core – Grade 4 – Practice Book
- Chapter 1 Place Value, Addition, and Subtraction to One Million (Pages 1- 20)
- Chapter 2 Multiply by 1-Digit Numbers (Pages 21 – 47)
- Chapter 3 Multiply 2-Digit Numbers (Pages 49- 65)
- Chapter 4 Divide by 1-Digit Numbers (Pages 67 – 93)
- Chapter 5 Factors, Multiples, and Patterns (Pages 95 – 109)
- Chapter 6 Fraction Equivalence and Comparison (Pages 111 – 129)
- Chapter 7 Add and Subtract Fractions (Pages 131 – 153)
- Chapter 8 Multiply Fractions by Whole Numbers (Pages 155- 167)
- Chapter 9 Relate Fractions and Decimals (Pages 169- 185)
- Chapter 10 Two-Dimensional Figures (Pages 187- 204)
- Chapter 11 Angles (Pages 205- 217)
- Chapter 12 Relative Sizes of Measurement Units (Pages 219- 244)
- Chapter 13 Algebra: Perimeter and Area (Pages 245- 258)
Grade 4 Homework FL. – Answer Keys
- Chapter 2 Multiply by 1-Digit Numbers Review/Test
- Chapter 3 Multiply 2-Digit Numbers Review/Test
- Chapter 4 Divide by 1-Digit Numbers Review/Test
- Chapter 5 Factors, Multiples, and Patterns Review/Test
- Chapter 6 Fraction Equivalence and Comparison Review/Test
- Chapter 7 Add and Subtract Fractions Review/Test
- Chapter 8 Multiply Fractions by Whole Numbers Review/Test
- Chapter 9 Relate Fractions and Decimals Review/Test
- Chapter 10 Two-Dimensional Figures Review/Test
- Chapter 11 Angles Review/Test
- Chapter 12 Relative Sizes of Measurement Units Review/Test
- Chapter 13 Algebra: Perimeter and Area Review/Test
- Chapter 1: Place Value, Multiplication, and Expressions
- Chapter 2: Divide Whole Numbers
- Chapter 3: Add and Subtract Decimals
- Chapter 4: Multiply Decimals
- Chapter 5: Divide Decimals
- Chapter 6: Add and Subtract Fractions with Unlike Denominators
- Chapter 7: Multiply Fractions
- Chapter 8: Divide Fractions
- Chapter 9: Algebra: Patterns and Graphing
- Chapter 10: Convert Units of Measure
- Chapter 11: Geometry and Volume
- Chapter 1: Divide Multi-Digit Numbers
- Chapter 2: Fractions and Decimals
- Chapter 3: Understand Positive and Negative Numbers
- Chapter 4: Model Ratios
- Chapter 5: Model Percents
- Chapter 6: Convert Units of Length
- Chapter 7: Exponents
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- Chapter 11: Surface Area and Volume
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Go Math Answer Key for Grade 7
- Chapter 1: Adding and Subtracting Integers
- Chapter 2: Multiplying and Dividing Integers
- Chapter 3: Rational Numbers
- Chapter 4: Rates and Proportionality
- Chapter 5: Percent Increase and Decrease
- Chapter 6: Algebraic Expressions
- Chapter 7: Writing and Solving One-Step Inequalities
- Chapter 8: Modeling Geometric Figures
- Chapter 9: Circumference, Area, and Volume
- Chapter 10: Random Samples and Populations
- Chapter 11: Analyzing and Comparing Data
- Chapter 12: Experimental Probability
- Chapter 13: Theoretical Probability and Simulations
- Chapter 1 Real Numbers
- Chapter 2 Exponents and Scientific Notation
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- Chapter 4 Nonproportional Relationships
- Chapter 5 Writing Linear Equations
- Chapter 6 Functions
- Chapter 7 Solving Linear Equations
- Chapter 8 Solving Systems of Linear Equations
- Chapter 9 Transformations and Congruence
- Chapter 10 Transformations and Similarity
- Chapter 11 Angle Relationships in Parallel Lines and Triangles
- Chapter 12 The Pythagorean Theorem
- Chapter 13 Volume
- Chapter 14 Scatter Plots
- Chapter 15 Two-Way Tables
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McGraw-Hill My Math Grade 4 Answer Key Chapter 3 Lesson 3 Multiplication as Comparison. Math in My World. Example 1. Mary attended camp for 7 days this summer. Tyler attended 3 times as many days as Mary. Find the number of days Tyler attended camp. Use counters to help you compare the groups of days. 1.
Multiplication as Comparison
McGraw-Hill, My Math, Volume 1 Place Value for 4th grade
These lessons, with videos, examples, and solutions, help Grade 4 students learn to interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5.
Download McGraw Hill My Math Grade 3 Solution Key Volume 1 & 2 for free and educate your children. Practice Chapterwise McGraw-Hill My Math 3rd Grade Answers and understand the primary school math concepts within less time.
Use the table below to find videos, mobile apps, worksheets and lessons that supplement My Math 4 Volume 1 Common Core. Chapter 1: Place Value. Apps.
Chapter 3: Understand Multiplication and Division. Lesson 1: Relate Multiplication and Division; Lesson 2: Relate Division and Subtraction; Lesson 3: Multiplication as Comparison; Lesson 4: Compare to Solve Problems; Lesson 5: Multiplication Properties and Division Rules; Lesson 6: The Associative Property of Multiplication; Lesson 7: Factors ...
Step by Step Solutions provided in the HMH Go Math Practice Key is aligned as per the College and Career Expectations. Solving from the Math 101 Practice Key helps you inculcate Higher Order Thinking Skills and you can answer any Question from your Homework, Assessment, or Review Test.
18 R1; answer includes area model, long division, and distributive property. division, and dist. a. 53 ÷ 4 = 13 R1. b. (40 ÷ 4) + (12 ÷ 4) = 10 + 3 = 13. 16; answer includes area model and long division or distributive property. 16 R1; answer includes area model and long division or distributive property.
Lesson 1 : Understand equal groups of as multiplication. 3•1Homework Helper G3-M1-Lesson 1 1. Solve each number sentence. 2. Circle the picture that shows 3 × 2. I know this picture shows equal groups because each group has the same number of triangles. There are 3 equal groups of 4 triangles. 3 groups of 4 = 𝟏𝟏𝟏𝟏