1 / 6

3.8 The Distributive Property

Learn how the distributive property impacts addition and subtraction in multiplication scenarios with practical examples and clear explanations. Enhance your math skills with this comprehensive guide.

mbranson
Télécharger la présentation

3.8 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. 3.8 The Distributive Property Shows how multiplication affects addition or subtraction

  2. Example 1 • 3 (5 + 7) • 3 (12) • 36 • 3 (5 + 7) • 3 x 5 + 3 x 7 • 15 + 21 • 36

  3. Distributive Property • Thinking of groups… • 3( x + 5) “Three times the quantity of x plus 5” • The 3 tells us we have 3 groups that each have an x and a five in them. • x 5 x 5 x 5 • Added all together gives 3x + 15

  4. Thinking of a Las Vegas card dealer… • 3 ( x + 5) 3 is the “dealer” • 3 (x + 5) First, deal the 3 out to the x or just 3x • 3 (x + 5) Now, deal the 3 out to the 5 or 15 • Equals: 3x + 15

  5. 3x + 15 is an expression that can not be simplified or solved because • We don’t know the value of x • The two terms are unlike: 3x is an “x-term” 15 is a “non-x-term” (also called a “constant”)

  6. Example 2 • Simplify 4 x 29 • I can think of 29 as 30 -1 • 4 ( 30 – 1) • 120 – 4 • 116

More Related