SlideShare a Scribd company logo
1 of 56
4-1 Multiplication
   Properties
         Math Notes
  Algebra and Functions 1.3
Five Properties
Five Properties
Commutative Property
Five Properties
Commutative Property
Associate Property
Five Properties
Commutative Property
Associate Property
Identity Property
Five Properties
Commutative Property
Associate Property
Identity Property
Zero Property
Five Properties
Commutative Property
Associate Property
Identity Property
Zero Property
Distributive
Commutative Property
Commutative Property
The order in which numbers are multiplied
does not change the product.
Commutative Property
The order in which numbers are multiplied
does not change the product.




   3 x 5=
Commutative Property
The order in which numbers are multiplied
does not change the product.




   3 x 5 = 15
Commutative Property
The order in which numbers are multiplied
does not change the product.




   5 x 3 = 15
Commutative Property
The order in which numbers are multiplied
does not change the product.




   5 x 3 = 15
   5 x 3=
Commutative Property
The order in which numbers are multiplied
does not change the product.




   5 x 3 = 15
   5 x 3 = 15
Commutative Property
The order in which numbers are multiplied
does not change the product.




   5 x 3 = 15
   3 x 5 = 15
Associative Property
Associative Property
The way in which factors are grouped does
not change the product.
Associative Property
The way in which factors are grouped does
not change the product.

   When you see (   ) parentheses, do the work
              with the (    ) first.
Associative Property
The way in which factors are grouped does
not change the product.

   When you see (   ) parentheses, do the work
              with the (    ) first.




(3 x 4) x 2 =
Associative Property
The way in which factors are grouped does
not change the product.

   When you see (   ) parentheses, do the work
              with the (    ) first.




(3 x 4) x 2 =                   12 x 2 =
Associative Property
The way in which factors are grouped does
not change the product.

   When you see (   ) parentheses, do the work
              with the (    ) first.




(3 x 4) x 2 =                   12 x 2 =         24
Associative Property
The way in which factors are grouped does
not change the product.

   When you see (   ) parentheses, do the work
              with the (    ) first.




(3 x 4) x 2 =                   12 x 2 =         24
3 x (4 x 2) =
Associative Property
The way in which factors are grouped does
not change the product.

   When you see (   ) parentheses, do the work
              with the (    ) first.




(3 x 4) x 2 =                   12 x 2 =         24
3 x (4 x 2) =                   3x8=
Associative Property
The way in which factors are grouped does
not change the product.

   When you see (   ) parentheses, do the work
              with the (    ) first.




(3 x 4) x 2 =                   12 x 2 =24
3 x (4 x 2) =                   3 x 8 = 24
Identity Property
Identity Property
When 1 is one of the two factors, the
product is the other factor.
Identity Property
When 1 is one of the two factors, the
product is the other factor.




  16 x 1 = 16
Identity Property
When 1 is one of the two factors, the
product is the other factor.




  16 x 1 = 16
   nx1=n
Zero Property
Zero Property
When 0 is a factor, the product is 0
Zero Property
When 0 is a factor, the product is 0




   16 x 0 = 0
Zero Property
When 0 is a factor, the product is 0




   16 x 0 = 0
    0x7=0
Name the property used.
Name the property used.

23 x 0
Name the property used.

23 x 0
76 x 1 = 76
Name the property used.

23 x 0
76 x 1 = 76
10 x 12 = 12 x 10
Name the property used.

23 x 0
76 x 1 = 76
10 x 12 = 12 x 10
(6 x 4) x 8 = 6 x (4 x 8)
Name the property used.
                     Zero Property

23 x 0              See the 0 (zero)?



76 x 1 = 76
10 x 12 = 12 x 10
(6 x 4) x 8 = 6 x (4 x 8)
Name the property used.
                     Zero Property

23 x 0              See the 0 (zero)?
                    Identity Property
                      Multiplied by 1
76 x 1 = 76
10 x 12 = 12 x 10
(6 x 4) x 8 = 6 x (4 x 8)
Name the property used.
                     Zero Property

23 x 0              See the 0 (zero)?
                    Identity Property
                      Multiplied by 1
76 x 1 = 76            Commutative
                     See the numbers

10 x 12 = 12 x 10       switched?



(6 x 4) x 8 = 6 x (4 x 8)
Name the property used.
                                       Zero Property

23 x 0                                See the 0 (zero)?
                                      Identity Property
                                        Multiplied by 1
76 x 1 = 76                              Commutative
                                       See the numbers

10 x 12 = 12 x 10                         switched?



(6 x 4) x 8 = 6 x (4 x 8)
                  Associative Property
6 x 4 is multiplied first and 4 x 8 was multiplied first
                Product did not change.
Distributive Property
Distributive Property
Think of one factor as the sum of two
addends. Then multiply each addend by
the other factor and add the products.
Distributive Property
Think of one factor as the sum of two
addends. Then multiply each addend by
the other factor and add the products.


3
Distributive Property
Think of one factor as the sum of two
addends. Then multiply each addend by
the other factor and add the products.


3 x
Distributive Property
Think of one factor as the sum of two
addends. Then multiply each addend by
the other factor and add the products.


3 x 14
Distributive Property
Think of one factor as the sum of two
addends. Then multiply each addend by
the other factor and add the products.


3 x                   14
Distributive Property
Think of one factor as the sum of two
addends. Then multiply each addend by
the other factor and add the products.


3 x
Distributive Property
Think of one factor as the sum of two
addends. Then multiply each addend by
the other factor and add the products.


3 x               (10 + 4)
Distributive Property
Think of one factor as the sum of two
addends. Then multiply each addend by
the other factor and add the products.


3 x               (10 + 4)
(3 x 10)
Distributive Property
Think of one factor as the sum of two
addends. Then multiply each addend by
the other factor and add the products.


3 x               (10 + 4)
(3 x 10) (3 x 4)
Distributive Property
 Think of one factor as the sum of two
 addends. Then multiply each addend by
 the other factor and add the products.


3 x                (10 + 4)
(3 x 10) + (3 x 4)
Distributive Property
 Think of one factor as the sum of two
 addends. Then multiply each addend by
 the other factor and add the products.


3 x                (10 + 4)
(3 x 10) + (3 x 4)
    30
Distributive Property
 Think of one factor as the sum of two
 addends. Then multiply each addend by
 the other factor and add the products.


3 x                (10 + 4)
(3 x 10) + (3 x 4)
    30                        12
Distributive Property
 Think of one factor as the sum of two
 addends. Then multiply each addend by
 the other factor and add the products.


3 x                (10 + 4)
(3 x 10) + (3 x 4)
    30              +         12
Distributive Property
 Think of one factor as the sum of two
 addends. Then multiply each addend by
 the other factor and add the products.


3 x                (10 + 4)
(3 x 10) + (3 x 4)
  30     +    12 = 42

More Related Content

What's hot

Rs symmetry, rotation, translation, reflection - review
Rs symmetry, rotation, translation, reflection - reviewRs symmetry, rotation, translation, reflection - review
Rs symmetry, rotation, translation, reflection - reviewYvette Lee
 
Add and Subtract Decimals
Add and Subtract DecimalsAdd and Subtract Decimals
Add and Subtract DecimalsBrooke Young
 
4-6 Estimating Products
4-6 Estimating Products4-6 Estimating Products
4-6 Estimating ProductsRudy Alfonso
 
Adding And Subtracting Fractions
Adding And Subtracting FractionsAdding And Subtracting Fractions
Adding And Subtracting Fractionsnhokanson
 
multiplication properties
multiplication propertiesmultiplication properties
multiplication propertiesAlex Blank
 
Addition of Numbers
Addition of NumbersAddition of Numbers
Addition of NumbersJohdener14
 
Adding Fractions With Unlike Denominators
Adding Fractions With Unlike DenominatorsAdding Fractions With Unlike Denominators
Adding Fractions With Unlike DenominatorsSarah Hallum
 
Area word problems
Area word problemsArea word problems
Area word problemsemteacher
 
Converting fractions improper to mixed numbers
Converting fractions improper to mixed numbersConverting fractions improper to mixed numbers
Converting fractions improper to mixed numbersDoreen Shottek
 
Properties of Multiplication
Properties of MultiplicationProperties of Multiplication
Properties of MultiplicationRushal Thaker
 
Simplification of Fractions and Operations on Fractions
Simplification of Fractions and Operations on FractionsSimplification of Fractions and Operations on Fractions
Simplification of Fractions and Operations on FractionsVer Louie Gautani
 
Place Value & Value (Math 4)
Place Value & Value (Math 4)Place Value & Value (Math 4)
Place Value & Value (Math 4)menchreo
 
Percentages Power point no.2
Percentages Power point no.2Percentages Power point no.2
Percentages Power point no.2Lea Perez
 
Comparing Decimals
Comparing DecimalsComparing Decimals
Comparing Decimalsemteacher
 

What's hot (20)

Fractions
FractionsFractions
Fractions
 
Rs symmetry, rotation, translation, reflection - review
Rs symmetry, rotation, translation, reflection - reviewRs symmetry, rotation, translation, reflection - review
Rs symmetry, rotation, translation, reflection - review
 
Add and Subtract Decimals
Add and Subtract DecimalsAdd and Subtract Decimals
Add and Subtract Decimals
 
4-6 Estimating Products
4-6 Estimating Products4-6 Estimating Products
4-6 Estimating Products
 
Multiplication facts
Multiplication factsMultiplication facts
Multiplication facts
 
Adding And Subtracting Fractions
Adding And Subtracting FractionsAdding And Subtracting Fractions
Adding And Subtracting Fractions
 
Math Place Value
Math Place Value Math Place Value
Math Place Value
 
multiplication properties
multiplication propertiesmultiplication properties
multiplication properties
 
Addition of Numbers
Addition of NumbersAddition of Numbers
Addition of Numbers
 
Adding Fractions With Unlike Denominators
Adding Fractions With Unlike DenominatorsAdding Fractions With Unlike Denominators
Adding Fractions With Unlike Denominators
 
Adding similar fractions
Adding similar fractionsAdding similar fractions
Adding similar fractions
 
Area word problems
Area word problemsArea word problems
Area word problems
 
Multiply Decimals
Multiply DecimalsMultiply Decimals
Multiply Decimals
 
Addition
AdditionAddition
Addition
 
Converting fractions improper to mixed numbers
Converting fractions improper to mixed numbersConverting fractions improper to mixed numbers
Converting fractions improper to mixed numbers
 
Properties of Multiplication
Properties of MultiplicationProperties of Multiplication
Properties of Multiplication
 
Simplification of Fractions and Operations on Fractions
Simplification of Fractions and Operations on FractionsSimplification of Fractions and Operations on Fractions
Simplification of Fractions and Operations on Fractions
 
Place Value & Value (Math 4)
Place Value & Value (Math 4)Place Value & Value (Math 4)
Place Value & Value (Math 4)
 
Percentages Power point no.2
Percentages Power point no.2Percentages Power point no.2
Percentages Power point no.2
 
Comparing Decimals
Comparing DecimalsComparing Decimals
Comparing Decimals
 

Similar to 4-1 Multiplication Properties

Properties of addition and multiplication
Properties of addition and multiplicationProperties of addition and multiplication
Properties of addition and multiplicationShiara Agosto
 
Properties of addition and multiplication
Properties of addition and multiplicationProperties of addition and multiplication
Properties of addition and multiplicationShiara Agosto
 
Math chapter 1 section 1 6
Math chapter 1 section 1 6Math chapter 1 section 1 6
Math chapter 1 section 1 6dears11
 
Multiplication keynote presentation
Multiplication keynote presentationMultiplication keynote presentation
Multiplication keynote presentationPhoebe Peng-Nolte
 
Factorising Quadratics
Factorising QuadraticsFactorising Quadratics
Factorising QuadraticsMr C
 
08.29.2017 Daily Lesson Properities of Ratioanl Numbers.pptx
08.29.2017 Daily Lesson Properities of Ratioanl Numbers.pptx08.29.2017 Daily Lesson Properities of Ratioanl Numbers.pptx
08.29.2017 Daily Lesson Properities of Ratioanl Numbers.pptxArianeSantiago7
 
2 1-100830171027-phpapp02-120930230737-phpapp01
2 1-100830171027-phpapp02-120930230737-phpapp012 1-100830171027-phpapp02-120930230737-phpapp01
2 1-100830171027-phpapp02-120930230737-phpapp01NeilfieOrit1
 
Unit 4 lesson 4 properties
Unit 4 lesson 4 propertiesUnit 4 lesson 4 properties
Unit 4 lesson 4 propertiesmlabuski
 
Unit 4 lesson 4 properties
Unit 4 lesson 4 propertiesUnit 4 lesson 4 properties
Unit 4 lesson 4 propertiesmlabuski
 
PROPERTIES OF MULTIPLICATION
PROPERTIES OF MULTIPLICATIONPROPERTIES OF MULTIPLICATION
PROPERTIES OF MULTIPLICATIONJohdener14
 
PPT on Rational Numbers.ppt
PPT on Rational Numbers.pptPPT on Rational Numbers.ppt
PPT on Rational Numbers.pptAkshayaArora3
 
Zero product property remediation notes
Zero product property remediation notesZero product property remediation notes
Zero product property remediation notesMichelle Barnhill
 
Factoring polynomials
Factoring polynomialsFactoring polynomials
Factoring polynomialsMark Ryder
 
Lesson 1.3 properties of real numbers
Lesson 1.3   properties of real numbersLesson 1.3   properties of real numbers
Lesson 1.3 properties of real numbersJohnnyBallecer
 
Complex numbers
Complex numbersComplex numbers
Complex numbersmstf mstf
 
PROPERTIES OF MULTIPLICATION
PROPERTIES OF MULTIPLICATIONPROPERTIES OF MULTIPLICATION
PROPERTIES OF MULTIPLICATIONNeilfieOrit1
 
Properties Of Exponents
Properties Of ExponentsProperties Of Exponents
Properties Of Exponentsnina
 

Similar to 4-1 Multiplication Properties (20)

Properties of addition and multiplication
Properties of addition and multiplicationProperties of addition and multiplication
Properties of addition and multiplication
 
Properties of addition and multiplication
Properties of addition and multiplicationProperties of addition and multiplication
Properties of addition and multiplication
 
Math chapter 1 section 1 6
Math chapter 1 section 1 6Math chapter 1 section 1 6
Math chapter 1 section 1 6
 
Multiplication keynote presentation
Multiplication keynote presentationMultiplication keynote presentation
Multiplication keynote presentation
 
Factorising Quadratics
Factorising QuadraticsFactorising Quadratics
Factorising Quadratics
 
08.29.2017 Daily Lesson Properities of Ratioanl Numbers.pptx
08.29.2017 Daily Lesson Properities of Ratioanl Numbers.pptx08.29.2017 Daily Lesson Properities of Ratioanl Numbers.pptx
08.29.2017 Daily Lesson Properities of Ratioanl Numbers.pptx
 
2 1-100830171027-phpapp02-120930230737-phpapp01
2 1-100830171027-phpapp02-120930230737-phpapp012 1-100830171027-phpapp02-120930230737-phpapp01
2 1-100830171027-phpapp02-120930230737-phpapp01
 
2-1 Properties of Addition
2-1 Properties of Addition2-1 Properties of Addition
2-1 Properties of Addition
 
Factoring Polynomials
Factoring PolynomialsFactoring Polynomials
Factoring Polynomials
 
Unit 4 lesson 4 properties
Unit 4 lesson 4 propertiesUnit 4 lesson 4 properties
Unit 4 lesson 4 properties
 
Unit 4 lesson 4 properties
Unit 4 lesson 4 propertiesUnit 4 lesson 4 properties
Unit 4 lesson 4 properties
 
PROPERTIES OF MULTIPLICATION
PROPERTIES OF MULTIPLICATIONPROPERTIES OF MULTIPLICATION
PROPERTIES OF MULTIPLICATION
 
PPT on Rational Numbers.ppt
PPT on Rational Numbers.pptPPT on Rational Numbers.ppt
PPT on Rational Numbers.ppt
 
Zero product property remediation notes
Zero product property remediation notesZero product property remediation notes
Zero product property remediation notes
 
Real for student
Real for studentReal for student
Real for student
 
Factoring polynomials
Factoring polynomialsFactoring polynomials
Factoring polynomials
 
Lesson 1.3 properties of real numbers
Lesson 1.3   properties of real numbersLesson 1.3   properties of real numbers
Lesson 1.3 properties of real numbers
 
Complex numbers
Complex numbersComplex numbers
Complex numbers
 
PROPERTIES OF MULTIPLICATION
PROPERTIES OF MULTIPLICATIONPROPERTIES OF MULTIPLICATION
PROPERTIES OF MULTIPLICATION
 
Properties Of Exponents
Properties Of ExponentsProperties Of Exponents
Properties Of Exponents
 

More from Mel Anthony Pepito

Lesson 16: Inverse Trigonometric Functions
Lesson 16: Inverse Trigonometric FunctionsLesson 16: Inverse Trigonometric Functions
Lesson 16: Inverse Trigonometric FunctionsMel Anthony Pepito
 
Lesson 11: Implicit Differentiation
Lesson 11: Implicit DifferentiationLesson 11: Implicit Differentiation
Lesson 11: Implicit DifferentiationMel Anthony Pepito
 
Lesson 12: Linear Approximation
Lesson 12: Linear ApproximationLesson 12: Linear Approximation
Lesson 12: Linear ApproximationMel Anthony Pepito
 
Lesson 13: Related Rates Problems
Lesson 13: Related Rates ProblemsLesson 13: Related Rates Problems
Lesson 13: Related Rates ProblemsMel Anthony Pepito
 
Lesson 14: Derivatives of Logarithmic and Exponential Functions
Lesson 14: Derivatives of Logarithmic and Exponential FunctionsLesson 14: Derivatives of Logarithmic and Exponential Functions
Lesson 14: Derivatives of Logarithmic and Exponential FunctionsMel Anthony Pepito
 
Lesson 15: Exponential Growth and Decay
Lesson 15: Exponential Growth and DecayLesson 15: Exponential Growth and Decay
Lesson 15: Exponential Growth and DecayMel Anthony Pepito
 
Lesson 17: Indeterminate Forms and L'Hôpital's Rule
Lesson 17: Indeterminate Forms and L'Hôpital's RuleLesson 17: Indeterminate Forms and L'Hôpital's Rule
Lesson 17: Indeterminate Forms and L'Hôpital's RuleMel Anthony Pepito
 
Lesson18 -maximum_and_minimum_values_slides
Lesson18 -maximum_and_minimum_values_slidesLesson18 -maximum_and_minimum_values_slides
Lesson18 -maximum_and_minimum_values_slidesMel Anthony Pepito
 
Lesson 19: The Mean Value Theorem
Lesson 19: The Mean Value TheoremLesson 19: The Mean Value Theorem
Lesson 19: The Mean Value TheoremMel Anthony Pepito
 
Lesson 25: The Definite Integral
Lesson 25: The Definite IntegralLesson 25: The Definite Integral
Lesson 25: The Definite IntegralMel Anthony Pepito
 
Lesson22 -optimization_problems_slides
Lesson22 -optimization_problems_slidesLesson22 -optimization_problems_slides
Lesson22 -optimization_problems_slidesMel Anthony Pepito
 
Lesson 26: Evaluating Definite Integrals
Lesson 26: Evaluating Definite IntegralsLesson 26: Evaluating Definite Integrals
Lesson 26: Evaluating Definite IntegralsMel Anthony Pepito
 
Lesson 27: The Fundamental Theorem of Calculus
Lesson 27: The Fundamental Theorem of Calculus Lesson 27: The Fundamental Theorem of Calculus
Lesson 27: The Fundamental Theorem of Calculus Mel Anthony Pepito
 
Lesson 28: Integration by Subsitution
Lesson 28: Integration by SubsitutionLesson 28: Integration by Subsitution
Lesson 28: Integration by SubsitutionMel Anthony Pepito
 
Lesson 3: Limits (Section 21 slides)
Lesson 3: Limits (Section 21 slides)Lesson 3: Limits (Section 21 slides)
Lesson 3: Limits (Section 21 slides)Mel Anthony Pepito
 

More from Mel Anthony Pepito (20)

Lesson 16: Inverse Trigonometric Functions
Lesson 16: Inverse Trigonometric FunctionsLesson 16: Inverse Trigonometric Functions
Lesson 16: Inverse Trigonometric Functions
 
Lesson 11: Implicit Differentiation
Lesson 11: Implicit DifferentiationLesson 11: Implicit Differentiation
Lesson 11: Implicit Differentiation
 
Lesson 12: Linear Approximation
Lesson 12: Linear ApproximationLesson 12: Linear Approximation
Lesson 12: Linear Approximation
 
Lesson 13: Related Rates Problems
Lesson 13: Related Rates ProblemsLesson 13: Related Rates Problems
Lesson 13: Related Rates Problems
 
Lesson 14: Derivatives of Logarithmic and Exponential Functions
Lesson 14: Derivatives of Logarithmic and Exponential FunctionsLesson 14: Derivatives of Logarithmic and Exponential Functions
Lesson 14: Derivatives of Logarithmic and Exponential Functions
 
Lesson 15: Exponential Growth and Decay
Lesson 15: Exponential Growth and DecayLesson 15: Exponential Growth and Decay
Lesson 15: Exponential Growth and Decay
 
Lesson 17: Indeterminate Forms and L'Hôpital's Rule
Lesson 17: Indeterminate Forms and L'Hôpital's RuleLesson 17: Indeterminate Forms and L'Hôpital's Rule
Lesson 17: Indeterminate Forms and L'Hôpital's Rule
 
Lesson 21: Curve Sketching
Lesson 21: Curve SketchingLesson 21: Curve Sketching
Lesson 21: Curve Sketching
 
Lesson18 -maximum_and_minimum_values_slides
Lesson18 -maximum_and_minimum_values_slidesLesson18 -maximum_and_minimum_values_slides
Lesson18 -maximum_and_minimum_values_slides
 
Lesson 19: The Mean Value Theorem
Lesson 19: The Mean Value TheoremLesson 19: The Mean Value Theorem
Lesson 19: The Mean Value Theorem
 
Lesson 25: The Definite Integral
Lesson 25: The Definite IntegralLesson 25: The Definite Integral
Lesson 25: The Definite Integral
 
Lesson22 -optimization_problems_slides
Lesson22 -optimization_problems_slidesLesson22 -optimization_problems_slides
Lesson22 -optimization_problems_slides
 
Lesson 24: Area and Distances
Lesson 24: Area and DistancesLesson 24: Area and Distances
Lesson 24: Area and Distances
 
Lesson 23: Antiderivatives
Lesson 23: AntiderivativesLesson 23: Antiderivatives
Lesson 23: Antiderivatives
 
Lesson 26: Evaluating Definite Integrals
Lesson 26: Evaluating Definite IntegralsLesson 26: Evaluating Definite Integrals
Lesson 26: Evaluating Definite Integrals
 
Lesson 27: The Fundamental Theorem of Calculus
Lesson 27: The Fundamental Theorem of Calculus Lesson 27: The Fundamental Theorem of Calculus
Lesson 27: The Fundamental Theorem of Calculus
 
Introduction
IntroductionIntroduction
Introduction
 
Lesson 28: Integration by Subsitution
Lesson 28: Integration by SubsitutionLesson 28: Integration by Subsitution
Lesson 28: Integration by Subsitution
 
Introduction
IntroductionIntroduction
Introduction
 
Lesson 3: Limits (Section 21 slides)
Lesson 3: Limits (Section 21 slides)Lesson 3: Limits (Section 21 slides)
Lesson 3: Limits (Section 21 slides)
 

4-1 Multiplication Properties

Editor's Notes

  1. \n
  2. \n
  3. \n
  4. \n
  5. \n
  6. \n
  7. \n
  8. \n
  9. \n
  10. \n
  11. \n
  12. \n
  13. \n
  14. \n
  15. \n
  16. \n
  17. \n
  18. \n
  19. \n
  20. \n
  21. \n
  22. \n
  23. \n
  24. \n
  25. \n
  26. \n
  27. \n
  28. \n
  29. \n
  30. \n
  31. \n
  32. \n
  33. \n
  34. \n
  35. \n
  36. \n
  37. \n
  38. \n
  39. \n
  40. \n
  41. \n
  42. \n
  43. \n
  44. \n
  45. \n
  46. \n
  47. \n
  48. \n
  49. \n
  50. \n
  51. \n
  52. \n
  53. \n
  54. \n
  55. \n
  56. \n
  57. \n
  58. \n
  59. \n