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Natural Numbers
- counting numbers
- {1,2,3, ...}
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Whole Numbers
- counting numbers w/ 0
- {0,1,2,3, ...}
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Integers
{..., -3, -2, -1, 0, 1, 2, 3, ...}
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Rational Numbers
- Numbers that can be expressed as a ratio of 2 other numbers a/b where b cannon equal zero
- 3 = 3/1
- 1/2 = 0.5
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Irrational Numbers
- Numbers that cannot be expressed as a ratio of 2 numbers a/b
- pi= 3.14... (never repeats, never terminates)
- non-perfect squares √2, √3, √5
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Rules for working with integers
- 1. For any number x, -x is termed the inverse of x if the following relationship applies:
- x+(-x)=0
- 2. For any # x, -(-x)=x
- 3. 0 is neither positive or negative
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Absolute Value
- for any # x, except 0, the absolute value will always be a positive number x
- |x|>0
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Number Line
- graph of all integers & everything else in between (fractions, decimals), all real numbers
- 0 is origin
- L»R increase
- R«L decrease
- absolute value tells how far from origin point
- the number line is used to illustrate addition & subtraction of integers
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compound interest
- A=P(1+r/n)nt
- A= balance amount
- B= principal
- r= interest rate
- n= compounding number
- t= time
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compound interest
$1,000, compounded quarterly, 3 years
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Scientific Notation
- express very large & very small numbers
- format: base x 10exponent or power10> base ≥ 1 exponent » integer
- (1-9.999), 2.5x102
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