Name the property shown by each statement.
1. a + (b + c) = (a + b) + c 2. 3(ab) = (ab)3
3. z + y + 0 = z + y 4. 7 • h • 0 = 0
5. Dance lessons cost $100 per couple per half hour.Assume 3 couples want to take dance lessons for anhour. Use mental math to find the total cost of the dancelessons for the couples.
Course 2, Lesson 5-4
Answers
1. Associative (+)
2. Commutative (x)
3. Identity (+)
4. Multiplicative (0)
5. $600
Course 2, Lesson 5-4
HOW can you use numbers andsymbols to represent mathematicalideas?
Expressions and Equations
Course 2, Lesson 5-4
•To model the Distributive Property
using algebra tiles
•To use the Distributive Property to
evaluate numerical expressions
Course 2, Lesson 5-4
Expressions and Equations
Course 2, Lesson 5-4
Expressions and Equations
•Distributive Property
•equivalent expressions
Course 2, Lesson 5-4
Expressions and Equations
WordsThe Distributive Property states that to multiply a sum ordifference by a number, multiply each term inside theparenthesis by the number outside the parenthesis.
Symbols a(b + c) = ab + aca(b – c) = ab – ac
Examples4(6 + 2) = 4 • 6 + 4 • 23(7 – 5) = 3 • 7 – 3 • 5
Course 2, Lesson 5-1
Expressions and Equations
Course 2, Lesson 5-1
Expressions and Equations
Course 2, Lesson 5-1
Expressions and Equations
Course 2, Lesson 5-1
Expressions and Equations
Course 2, Lesson 5-1
Expressions and Equations
Course 2, Lesson 5-1
Expressions and Equations
Course 2, Lesson 5-1
Expressions and Equations
Course 2, Lesson 5-1
Expressions and Equations
Course 2, Lesson 5-1
Expressions and Equations
Course 2, Lesson 5-1
Expressions and Equations
Course 2, Lesson 5-1
Expressions and Equations
Course 2, Lesson 5-1
Expressions and Equations
How did what you learned
today help you answer the
HOW can you use numbers and symbolsto represent mathematical ideas?
Course 2, Lesson 5-4
Expressions and Equations
How did what you learned
today help you answer the
HOW can you use numbers and symbolsto represent mathematical ideas?
Course 2, Lesson 5-4
Expressions and Equations
Sample answers:
•By using the Distributive Property to evaluatenumerical expressions
•By using the Distributive Property to rewrite algebraicexpressions
•By using the Distributive Property to solve real-worldproblems
Explain how today’s lessonon the Distributive Propertywill help you with simplifyingalgebraic expressions.
Ratios and Proportional Relationships
Expressions and Equations
Course 2, Lesson 5-4
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