Presentation is loading. Please wait. # Number Sets & Properties. Number Sets Natural – Whole – Integers -

## Presentation on theme: "Number Sets & Properties. Number Sets Natural – Whole – Integers -"— Presentation transcript:

Number Sets & Properties

Number Sets Natural – Whole – Integers -

Number Sets Rational (Q) – all numbers that can be expressed in the form where a and b are integers and. Irrational(I) – all non-terminating, non- repeating decimals Real(R) – all rational and irrational numbers

Venn Diagram The Real Numbers Natural Whole Integers RationalIrrational

Examples 1.) 2.) 3.) 4.)

Properties of Real Numbers Commutative: Real numbers can be added or multiplied in any order. ex. 6 + 7+ 5y = 5y + 6 + 7 Associative: Real numbers can be grouped in any order under the operations of addition or multiplication. ex. 2 + (½ + 9) = (2 + ½) + 9

The Distributive Property of Multiplication Over Addition: Multiplying a real number over a group of added real numbers gives the same result as it would if adding the real numbers first and then multiplying the result by the real number. (You can also distribute over subtraction.) ex. - 2(x + 7y) = -2x – 14y

Multiplicative Property of Zero: If the product of two or more quantities equals zero, then at least one of the quantities must equal zero. ex. If (x +7)(y – 8) = 0 then either (x +7)= 0 or (y – 8) = 0 Could both equal zero?

Download ppt "Number Sets & Properties. Number Sets Natural – Whole – Integers -"

Similar presentations

Ads by Google