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Made By Aaron M.

The Number Theory. Made By Aaron M. 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”. Integers.

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Made By Aaron M.

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  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

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