1 / 20

Multiplication Properties

Multiplication Properties. Shirley Garrett 5 th Grade. Multiplication Properties. Commutative Property Associative Property Identity Property Zero Property Distributive Property. Why Should you Learn about the Properties of Multiplication?.

lan
Download Presentation

Multiplication 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. Multiplication Properties Shirley Garrett 5th Grade

  2. Multiplication Properties • Commutative Property • Associative Property • Identity Property • Zero Property • Distributive Property

  3. Why Should you Learn about the Properties of Multiplication? • It helps you solve problems without working them out. • It helps with mental math. • It makes understanding math easier.

  4. Commutative Property • The order of the numbers doesn’t change the result (answer to the problem) • p X q = q X p

  5. Commutative Property • 9 X 3 = 3 X w • 56 X p = 11 X 56 • q X 8 = 8 X 4 • 5 X 9 = r X 5 The answers are on the next slide.

  6. Commutative Property • 9 X 3 = 3 X 9 • 56 X 11 = 11 X 56 • 4 X 8 = 8 X 4 • 5 X 9 = 9 X 5

  7. Associative Property • The grouping of the factors doesn’t change the answer. • (p X q) X r = p X (q X r)

  8. Associative Property • 3 X (4 X 2) = (n X 4) X 2 • 4 X (p X 7) = (4 X 1) X 7 • 5 X (7 X 2) = (5 X 7) X n • (2 X z) X 5 = 2 X (8 X 5) Is this Associative? • 5 X (n X 2) = (2 X 5) X 5 Watch out! Answers are on the next slide.

  9. Associative Property • 3 X (4 X 2) = (3 X 4) X 2 • 4 X (1 X 7) = (4 X 1) X 7 • 5 X (7 X 2) = (5 X 7) X 2 • (2 X 8) X 5 = 2 X (8 X 5) Is this Associative? No, it’s commutative. • 5 X (5 X 2) = (2 X 5) X 5

  10. Identity Property • Any number multiplied by 1 will give you the original number. • 23,487 X 1 = 23,487

  11. Identity Property • 234 X 1 = z • q X 2,567 = 2,567 • 98,765 X d = 98,765 Answers are on the next slide.

  12. Identity Property • 234 X 1 = 234 • 1 X 2,567 = 2,567 • 98,765 X 1 = 98,765

  13. Zero Property • When any number is multiplied with zero, the answer is zero. • 98,756,432 X 0 = 0

  14. Zero Property • 7,547,598,375 X c = 0 • 758,375,937 X 0 = b • z X 75,879,705 = 0

  15. Distributive Property • Multiplying the sum (or difference) by a number is the same as multiplying each number in the sum (or difference) by the number and adding (or subtracting) the product. • 9 X (20 - 3) = (9 X 20) – (9 X 3) • 8 X (40 + 5) = (8 X 40) + (8 X 5) • 8 X 45 = (8 X 40) + (8 X 5)

  16. Distributive Property • 4 X 509 = (4 X 500) + (4 X m) • 6 X 310 = (6 X n) + (6 X 10) • s X 205 = (5 X 200) + (5 X 5) • 195 X 5 = (200 X 5) – (5 X t) The answers are on the next slide.

  17. Distributive Property • 4 X 509 = (4 X 500) + (4 X 9) • 6 X 310 = (6 X 300) + (6 X 10) • 5 X 205 = (5 X 200) + (5 X 5) • 195 X 5 = (200 X 5) – (5 X 5)

  18. 9 X 3 = 3 X w 3 X (4 X 2 ) = (n X 4) X 2 234 X 1 = z 56 X p = 11 X 56 7,547,598,375 X c = 0 q X 8 = 8 X 4 5 X (7 X 2) = (5 X 7) X n 4 X 509 = (4 X 500) + (4 X m) 6 X 310 = (6 X n) + (6 X 10) (2 X z) X 5 = 2 X (8 X 5) q X 2,567 = 2,567 12. 195 X 5 = (200 X 5) – (5 X t) z X 75,879,705 = 0 98,765 X d = 98,765 5 X 9 = r X 5 s X 205 = (5 X 200) + (5 X 5) 4 X (p X 7) = (4 X 1) X 7 758,375,937 X 0 = b Test Yourself Rewrite each equation with the correct answer, and write the name of the property.

  19. 9 X 3 = 3 X 9 Commutative 3 X (4 X 2) = (3 X 4) X 2 Associative 234 X 1 = 234 Identity 56 X 11 = 11 X 56 Commutative 7,547,598,375 X 0 = 0 Zero 4 X 8 = 8 X 4 Commutative 5 X (7 X 2) = (5 X 7) X 2 Associative 4 X 509 = (4 X 500) + (4 X 9) Distributive 6 X 310 = (6 X 300) + (6 X 10) Distributive (2 X 8) X 5 = 2 X (8 X 5) Associative 1 X 2,567 = 2,567 Identity 195 X 5 = (200 X 5) – (5 X 5) Distributive 0 X 75,879,705 = 0 Zero 98,765 X 1 = 98,765 Identity 5 X 9 = 9 X 5 Commutative 5 X 205 = (5 X 200) + (5 X 5) Distributive 4 X (1 X 7) = (4 X 1) X 7 Associative 758,375,937 X 0 = 0 Zero Test Yourself Answers

  20. How did you do? • 18 correct Excellent • 17 correct Very Good • 16 - 15 correct Good • 14 - 13 correct Passing • 12 – 0 correct You need more practice.

More Related