Your SlideShare is downloading. ×
Algebraic properties pp
Upcoming SlideShare
Loading in...5
×

Thanks for flagging this SlideShare!

Oops! An error has occurred.

×

Saving this for later?

Get the SlideShare app to save on your phone or tablet. Read anywhere, anytime - even offline.

Text the download link to your phone

Standard text messaging rates apply

Algebraic properties pp

279
views

Published on

Published in: Technology

0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
279
On Slideshare
0
From Embeds
0
Number of Embeds
1
Actions
Shares
0
Downloads
4
Comments
0
Likes
0
Embeds 0
No embeds

Report content
Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
No notes for slide

Transcript

  • 1. B Y A S H L I S P R U I L L Algebraic Properties
  • 2. What are they?  We use these properties when working with an algebraic equation
  • 3. Associative  Addition: (a+b)+c = a+(b+c) (x+2)-3y = x+ (2-3y)  Multiplication: (ab)c = a(bc) (x x 2)3y = x(2 x 3y)
  • 4. Communitive  Addition: a+b = b+a x+2 = 2+x  Multiplication: ab = ba y x 2= y2
  • 5. Identity  Addition: a+0= a =0+a  Multiplication: a x 1/a = 1 = 1/a x a
  • 6. Inverse  Addition: a +(-a) = 0 = (-a) +a  Multiplication: a x 1/a = 1 = 1/a
  • 7. Distributive  Addition AND multiplication a(b+c) = ab + ac and ab+ac = a(b+c)
  • 8. PROPERTIES OF EQUALITIY AND INEQUALITY
  • 9. Multiplicative Property of Zero  Equality: a x 0 = 0 = 0 x a
  • 10. Zero Product  Equality: If ab = 0, then a = 0 or b = 0
  • 11. Reflexive  Equality: a=a
  • 12. Symmetric  Equality: If a = b and b = a
  • 13. Transitive  Equality: If a = b and b = c, then a = c  Inequality: If a > b and b > c, then a > c If a < b and b < c, then a < c
  • 14. Addition  Equality: If a = b, then a + c = b + c  Inequality: If a < b, then a + c < b + c If a > b, then a + c > b + c
  • 15. Subtraction  Equality: If a = b, then a – c = b – c  Inequality: If a < b, then a – c < b – c If a > b, then a –c > b – c
  • 16. Multiplication  Equality: If a = b, then ac = bc  Inequality: If a < b and c > 0, then ac < bc If a < b and c < 0, then ac > bc If a > b and c > 0, then ac > bc If a > b and c < 0, then ac < bc
  • 17. Division  Equality: If a = b and c does not equal to 0, then a/c = b/c  Inequality: If a < b and c > 0, then a/c < b/c If a < b and c < 0, then a/c > b/c If a > b and c > 0, then a/c > b/c If a > b and c < 0, then a/c < b/c
  • 18. Substitution  Equality AND Inequality If a = b, then b can be substituted for any equation or inequality