1 / 13

PROPERTIES

PROPERTIES. LESSONS 1-4 AND 1-5. Lesson essential questions. What are properties and why are they important to understanding mathematics? How can you prove that order does not matter when adding or Multiplying? 3. How can you use the distributive property to multiply mentally?

quinn-tran
Download Presentation

PROPERTIES

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. PROPERTIES LESSONS 1-4 AND 1-5

  2. Lesson essential questions • What are properties and why are they important to understanding mathematics? • How can you prove that order does not matter when adding or • Multiplying? • 3. How can you use the distributive property to multiply mentally? • 4. How is the distributive property used to simplify algebraic expressions? • 5. What are some common mistakes when using the distributive property?

  3. Properties They are statements that are true for any number.

  4. Distributive • Commutative • Associative • Addition property of zero • Multiplication property of zero • Multiplication property of one

  5. Commutative Propertymultiplication Order doesn’t matter A x B = B x A algebraic example 3 x 5 = 5 x 3 numerical example

  6. Commutative Propertyaddition Order doesn’t matter A + B = B + A algebraic example 3 + 5 = 5 + 3 numerical example

  7. Associative Property of addition (a + b) + c = a + (b + c) algebraic example (6 + 4) + 3 = 6 + (4 + 3) numerical example

  8. Associative Property of multiplication (a · b) · c = a · (b · c) algebraic example (6 · 4) · 3 = 6 · (4 · 3) numerical example

  9. Multiplication property of zero If you multiply any number by zero the product is Always zero. A x 0 = 0 algebraic example 5 x 0 = 0 numerical example

  10. Addition property of zero If you add 0 to any number, the number stays the same. A + 0 = A algebraic example 5 + 0 = 5 numerical example

  11. Multiplication property of one When you multiply any number by one the product is Always the original number. A x 1 = A algebraic example 5 x 1 = 5 numerical example

  12. Distributive Property The distributive property combines addition and Multiplication. A(B+ C) = AB + AC ALGEBRAIC EXAMPLE 3( 5+ 20) = ( 3 X 5) + (3 X 20) NUMERICAL EXAMPLE

  13. Distributive Property The distributive property combines subtraction and multiplication. A(B – C) = AB – AC Algebraic example 2 ( 5 – 3) = (2 x 5) – (2 x 3) Numerical example

More Related