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
Addition
Subtraction
**from left to right -
(+) + (+) = (+)
(win) + (win) = -
(+)
(win alot) -
(add & subtract real #s)
1. WHEN SIGNS ARE DIFFERENT?
2. WHEN SIGNS ARE SAME -
1. SUBTRACT THEIR ABSOLUTE VALUES (addition of the opposite) ex: a-b=a+(-b)
2. ADD KEEPING THE SIGN -
(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) -
Like Terms ADDITION/SUBTRACTION
- can ONLY add or subtract(simplify) like terms
- Integers
- a member of the set of positive whole numbers, negative whole numbers, and zero