Objectives Use the Commutative, Associative, and Distributive Properties to simplify expressions.

Slides:

Advertisements

Similar presentations

Warm Up Add Multiply (8) (22)

Advertisements

Simplifying Expressions

Simplifying Expressions

EXAMPLE 3 Using the Associative Property = = Associative property of addition Add fractions. Write as one. 5 5 Add. 4=

Course Properties 1-6 Properties Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

1-4 Properties and Mental Math Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

1-5 Properties and Mental Math Learn to use number properties to compute mentally.

1-5 Properties and Mental Math I CAN use the commutative and associative properties to add and multiply whole numbers. I CAN use the distributive property.

Simplifying Expressions. The Commutative and Associative Properties of Addition and Multiplication allow you to rearrange an expression to simplify it.

Course Mental Math 1-5 Mental Math Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day.

Holt CA Course 1 1-4Properties of Numbers Vocabulary.

1-5 Properties Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes Objective: Students.

Course Properties Learn how to identify properties of rational numbers and use them to simplify numerical expressions.

Properties are special qualities of something. Addition and multiplication have special qualities that help you solve problems mentally = MENTAL MATH!!

1-4 Properties and Mental Math 9/20/11 Warm Up Find each sum or product (24) 4. 7(12) 5. 3(91) 6. 6(15)

1-8 Simplifying Expressions Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation.

Quiz #1 1.7g g c – 8 +5c – 8 3.8x + 9 – 6x – 7 4.3x x - 9.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Holt McDougal Algebra Simplifying Expressions Warm Up Add Multiply (8) (22)

Holt Algebra Simplifying Expressions Use the Commutative, Associative, and Distributive Properties to simplify expressions. Combine like terms. Objectives.

Properties of Numbers Vocabulary Distributive Property.

Holt CA Course 1 1-4Properties of Numbers Warm Up Warm Up California Standards Lesson Presentation Preview.

1-2 Properties of Numbers Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

The properties of real numbers help us simplify math expressions and help us better understand the concepts of algebra.

I CAN factor numerical expressions. I CAN factor algebraic expressions

Warm Up Solve. 1. 3x = = z – 100 = w = 98.6 x = 34 y = 225 z = 121 w = 19.5 y 15.

2-1 Properties and Mental Math Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

Holt Algebra Simplifying Expressions 1-7 Simplifying Expressions Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz.

1-3 Properties of Numbers Problem of the Day Daniel usually buys 6 bottles of water and 3 apples when he goes to the grocery store. Next time he goes,

Order of Operations and the Distributive Property COURSE 2 LESSON 1-9 Use the Distributive Property to find 7(52). What you think 52 is Finding.

Properties of Real Numbers Objective: To add, subtract, multiply and divide real numbers and to use the Distributive Property.

Same Signs Different Signs 1) =+7 Objective- To solve problems involving operations with integers. Combining.

1-5 Properties Write each fraction as a decimal. 1. Determine if the fraction is terminating or repeating … Write each decimal.

Do Now: Simplify and write in standard form x 2 - x 2 + 4x – 1 -6x 2. 2 – 7x – x 3.

Preview Warm Up California Standards Lesson Presentation.

Simplifying Expressions

Adding and Subtracting Radical Expressions

Do Now Simplify  3 – (3 – 1) ÷ (3 + 2)

Preview Warm Up California Standards Lesson Presentation.

Algebra 1 Notes: Lesson 1-6: Commutative and Associative Properties

Multiply the following rational expressions. Show work!

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Warm Up Find the GCF of each set of numbers and , 45 and 30

Preview Warm Up California Standards Lesson Presentation.

Simplifying Expressions

Warm Up Simplify each expression – 5 ● ÷ 2 ● 4

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Simplifying Expressions

Properties of Numbers Use mental math to simplify –2 • 13 • 5.

Objectives Use the Commutative, Associative, and Distributive Properties to simplify expressions.

Lesson 2.1 How do you use properties of addition and multiplication?

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Finding a Percent of a Number

Objectives Combining like terms..

Objectives Combining like terms..

Simplifying Algebraic Expressions

Properties of Numbers Identify each property. a. 0 + x = x

Purpose Students will be able to use the Commutative, Associative, and Distributive Properties to simplify expressions and combine like terms.

Warm Up Evaluate  3 – (3 – 1) ÷ (3 + 2) 10

Finding a Percent of a Number

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Objective Solve equations in one variable that contain more than one operation.

Objective Solve equations in one variable that contain more than one operation.

Simplifying Expressions

Finding a Percent of a Number

Simplifying Expressions

Simplifying Expressions

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

1-6 Properties Warm Up Problem of the Day Lesson Presentation Course 2.

Presentation transcript:

Objectives Use the Commutative, Associative, and Distributive Properties to simplify expressions.

Example 1A: Using the Commutative and Associative Properties Simplify. Use the Commutative Property. Use the Associative Property to make groups of compatible numbers. 11(5) 55

Example 1B: Using the Commutative and Associative Properties Simplify. 45 + 16 + 55 + 4 45 + 55 + 16 + 4 Use the Commutative Property. (45 + 55) + (16 + 4) Use the Associative Property to make groups of compatible numbers. (100) + (20) 120

Check It Out! Example 1a Simplify. Use the Commutative Property. Use the Associative Property to make groups of compatible numbers. 21

Check It Out! Example 1b Simplify. 410 + 58 + 90 + 2 410 + 90 + 58 + 2 Use the Commutative Property. Use the Associative Property to make groups of compatible numbers. (410 + 90) + (58 + 2) (500) + (60) 560

( ) Check It Out! Example 1c Simplify. 1 2 7 • 8 1 2 8 • 7 Use the Commutative Property. ( ) 1 2 • 8 7 Use the Associative Property to make groups of compatible numbers. 4 • 7 28

The Distributive Property is used with Addition to Simplify Expressions. The Distributive Property also works with subtraction because subtraction is the same as adding the opposite.

Example 2A: Using the Distributive Property with Mental Math Write the product using the Distributive Property. Then simplify. 5(59) 5(60 - 1) Rewrite 59 as 60 - 1. 5(60) – 5(1) Use the Distributive Property. 300 - 5 Multiply. 295 Subtract.

Example 2B: Using the Distributive Property with Mental Math Write the product using the Distributive Property. Then simplify. 8(33) 8(30 + 3) Rewrite 33 as 30 + 3. 8(30) + 8(3) Use the Distributive Property. 240 + 24 Multiply. 264 Add.

Check It Out! Example 2b Write the product using the Distributive Property. Then simplify. 12(98) 12(100 – 2) Rewrite 98 as 100 – 2. 12(100) – 12(2) Use the Distributive Property. 1200 – 24 Multiply. 1176 Subtract.

Lesson Quiz: Part I Simplify each expression. 1. 165 +27 + 3 + 5 200 2. 8 Write each product using the Distributive Property. Then simplify. 3. 5($1.99) 5($2) – 5($0.01) = $9.95 4. 6(13) 6(10) + 6(3) = 78