1 / 26

Understanding Number Theory: A Comprehensive Guide

Explore the world of numbers from natural counting to rational and irrational numbers, including concepts like integers and real numbers. Learn about order of operations, the distributive property, and solve sample problems.

odysseus-karan
Télécharger la présentation

Understanding Number Theory: A Comprehensive Guide

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. The Number Theory Made By Aaron M.

  2. Natural Counting Numbers • Natural Counting Numbers are {1,2,3…} • Whole Numbers are like Counting Numbers. They just have a 0 instead • Ex. {0,1,2,3…}= Counting Numbers • Remember Whole Numbers has the hole “0”

  3. Integers • All of the Whole Numbers and their opposites • Contain twice as many numbers plus 1 more than the Natural Numbers • Set of Integers has many numbers minus 1 than the set of Whole Numbers • Ex. {-3,-2,-1,0,1,2,3…}= Intergers

  4. Rational Numbers • A Rational Number is any number that can be represented as a Fraction. This includes all integers and decimals that end or repeat. This also includes some square roots.

  5. Irrational Numbers • An Irrational Number is a number that can’t be represented as a fraction. This includes most square roots and • An irrational square root is

  6. Real Numbers • Real Numbers are all Rational and Irrational Numbers. Ex. {

  7. Complex/Imaginary Numbers • There is only one Complex/Imaginary Number

  8. Order of Operations

  9. Symbols • Parenthesis (and any other grouping symbols) • Exponents • Multiplication & Division (in order from left to right) • Addition & Subtraction (in order from left to right) Ex. PEMDAS

  10. The Distributive Property

  11. The Distributive Property is a way to get rid of the parenthesis in an expression Ex.3(x+2) is the same as x+2+x+2+x+2 and that equals 3x+6 The short cut is to multiply the 3 times the x and the 3 times the 2. Your answer is 3x+6 It’s the same with variables a(b+c)=ab+ac

  12. Sample Problems • Which Number is a Whole Number? • 1 • -2 • -5 • -1

  13. Which one is an Integer? A.-2 B.-4 C.2 D. All of the above

  14. What is an example of Order of Operations? A.FOIL B.PEMDAS C.I=PRT D.

  15. What is the answer to 3(a+3)? a.3a+9 b.3a+6 c.3a+10 d. None of the above

  16. What is a Rational Number? • A number that is negative • The square root of a number • A number that can be turned into a Fraction • A number that can’t be turned into a Fraction

  17. Click on Tigger to return to questions

  18. Click on Tigger to return to questions

  19. Click on Tigger to return to questions

  20. Click on Tigger to return to questions

  21. You Passed

More Related