1 / 9

The Distributive Property

The Distributive Property. The Distributive Property. A way of simplifying expressions. Distribute a number or variable across a grouping symbol. Gives an equivalent expression in different terms. The Distributive Property. A number or variable in front of parentheses means what operation?

gaurav
Download Presentation

The Distributive Property

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. The Distributive Property

  2. The Distributive Property • A way of simplifying expressions. • Distribute a number or variable across a grouping symbol. • Gives an equivalent expression in different terms.

  3. The Distributive Property • A number or variable in front of parentheses means what operation? • MULTIPLICATION !!! • When a number or variable is in front of parentheses, you MUST multiply by EACH term within the parentheses • EX: 6(x+y) • 6(x) + 6(y) • 6x+6y

  4. The Distributive Property • Simplify : • 2(y + 4) • 2(y) + 2(4) • 2y + 8 • 5(s + 10) • 5(s) + 5(10) • 5s + 50 • a(11 + c) • a(11) + a(c) • 11a + ac • x(w + y + z) • x(w) + x(y) + x(z) • wx + xy +xz

  5. Real-Life ProblemsTranslated:WORD PROBLEMS

  6. Straight From the Manufacturer You are the top game buyer for the 5 branches of our local toy store. Your job is to make sure that we have the newest and latest video games available. So you have a meeting with a manufacturer to check out the games that are about to be released to the public. You play each game and decide to order 10 copies of game A, 12 copies of game B, and 15 copies of game C for each of our 5 stores. Use the distributive property to find the total number of games you are ordering.

  7. DON’T PANIC !! • Let’s write what we know: • Number of stores : 5 • Number of game A : 10 • Number of game B : 12 • Number of game C: 15 • Total number of games (unknown): G Plan of Action Let’s put it all together …

  8. Straight From the Manufacturer Continued … • Algebraic model: • G = 5(10 + 12 + 15) • G = 5(10) + 5(12) + 5(15) • G = 50 + 60 + 75 • G = 185 You will be ordering a total of 185 video games. • In this problem you could have added first because you have ONLY like terms in the parentheses. • G = 5(37) • G = 185

  9. Simplify • 12(x + 4) • 12x + 48 • 4(5 - 2x) • 20 – 8x • s(t + 3u) • st + 3su • p( s – 5 + 2) • ps – 5p + 2p • ps – 3p • m(a + 4z - w) • am+ 4mz – mw • - 5(b + 3 – 2) • - 5b – 15 +10 • -5b - 5

More Related