{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

mgb5e_ppt_1_8

# mgb5e_ppt_1_8 - -5 x-3 y Example Simplify-5 x-3 y =-5 x =-5...

This preview shows pages 1–6. Sign up to view the full content.

§ 1.8 Properties of Real Numbers

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Martin-Gay, Beginning Algebra, 5ed 2 Commutative and Associative Property Associative property Addition: ( a + b ) + c = a + ( b + c ) Multiplication: ( a · b ) · c = a · ( b · c ) Commutative property Addition: a + b = b + a Multiplication: a · b = b · a
Martin-Gay, Beginning Algebra, 5ed 3 Using the Properties (5 + x ) - 3 Example : Simplify. ( 5 + x ) - 3 = 5 + ( x - 3) = [5 + ( - 3)] + x = 2 + x Example : Simplify. – 4(7 x ) – 4(7 x ) = (– 4·7) x = – 28 x

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Martin-Gay, Beginning Algebra, 5ed 4 Distributive Property of Multiplication Over Addition a ( b + c ) = ab + ac Identities 0 is the identity element for addition. a + 0 = a and 0 + a = a. 1 is the identity element for multiplication. a · 1 = a and 1 · a = a. Distributive Property
Martin-Gay, Beginning Algebra, 5ed

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (-5)( x-3 y ) Example : Simplify. (-5)( x-3 y ) = (-5)( x ) = -5 x-(-15 y ) = -5 x + 15 y-(-5)(3 y ) Example : Simplify. 1 2 1 3 5 3 4 x y + - 1 2 1 3 5 3 4 x y + - 1 2 1 3 3 3 5 3 4 x y = + - 3 3 2 5 4 x y = + -Martin-Gay, Beginning Algebra, 5ed 6 Inverses • The numbers a and – a are additive inverses or opposites of each other because their sum is 0. a + ( – a ) = 0 Inverses • The numbers b and (for b ≠ 0) are reciprocals or multiplicative inverses of each other because their product is 1. 1 b 1 1 b b ⋅ =...
View Full Document

{[ snackBarMessage ]}

### Page1 / 6

mgb5e_ppt_1_8 - -5 x-3 y Example Simplify-5 x-3 y =-5 x =-5...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online