# Chapter 1 Elementary Algebra

## Terms

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Unlike Terms MULTIPLICATION
can multiply like and unlike terms
Natural Numbers
(counting numbers) {1,2,3,4,...}
Whole Numbers
(not counting numbers) {0,1,2,3,...}
Rational Numbers
any number that CAN be written as fractions/quotient

ex: 1/2,-7/3
(-) + (-) =
(lose) + (lose) =
(-)
(lose alot)
Dividing Fractions
- multiply it by its reciprocal
- reduce (cross division)
- multiply across
ex: flip the second fraction (reciprocal) (2/3)/(4/3)= (2/3)x(3/4)
Irrational Numbers
any number that CAN NOT be written as fractions/quotient

ex: pi, square root of 2
Multiply Fractions
-reduce
-find common denominator (whatever u do to the bottom, u do to the top)
-multiply across
ORDER OF OPERATIONS
Parenthesis
Exponent
Multiplacation
Division
Subtraction
**from left to right
(+) + (+) = (+)
(win) + (win) =
(+)
(win alot)
1. WHEN SIGNS ARE DIFFERENT?
2. WHEN SIGNS ARE SAME
1. SUBTRACT THEIR ABSOLUTE VALUES (addition of the opposite) ex: a-b=a+(-b)
(multiply & divide real #s)
1. SAME SIGN?
2. DIFFERNT SIGN?
1. answer POSITIVE ex: (+)(+)=(+) or (-)(-)=(+)
2. answer NEGATIVE ex: (+)(-)=(-) or (-)(+)=(-)
Multiplicative Inverse
(reciprocal) ex: 2= 1/2, 1/7=7/1=7, -3=-1/3
Absolute Value
distance from zero

ex: |-5|= 5, |8|= 8
(+) + (-) =
(win) + (lose) =
**(win or lose) depends on whichever has the larger sign
0/5 =
0
5/0=
undefined (we may never divide by 0)
1. (-4)^2 =
2. -4^2 =
1.(-4)(-4)= 16 **(same sign = pos)
2. -(4)(4)= -16**(diff.sign = neg)

can ONLY add or subtract(simplify) like terms
Integers
a member of the set of positive whole numbers, negative whole numbers, and zero

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