Elementary Algebra - College Level - Chapter 1
Terms
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- Natural Numbers are.
- {1,2,3,4,...}
- Whole Numbers are.
- {0,1,2,3,...}
- Integer Numbers are.
- {...,-3,-2,-1,0,1,2,3,...}
- Rational Numbers are.
- {Quotient of two integers, denominator not 0}
- The sum of two positive numbers will be a.
- Positive Number
- The sum of two negative numbers will be a.
- Negative Number
- The sum of a postive number and a negative number can be either a.
- Positive or Negative number.
- The product (or quotient) of two numbers with like signs will be a.
- Positive number.
- b^5 = ?
- b*b*b*b*b
- 1st Order of Operations (1/4)
- Evaluate expressions within parentheses.
- 2nd Order of Operations (2/4)
- Evaluate expressions with exponents.
- 3rd Order of Operations (3/4)
- Perform Multiplications or divisions moving from left to right.
- 4th Order of Operations (4/4)
- Perform additions or subtractions moving from left to right.
-
Commutative Property:
a+b =
a*b = -
b+a
b*a -
Associative Property:
(a+b) + c =
(a*b) * c = -
a+(b+c)
a*(b*c) -
Distributive Property:
a(b+c) = - a*b+a*c
-
Identity Property:
a+0 =
1*a = -
0+a = a
a*1 = a -
Inverse Property:
a + (-a) =
a * 1/a = -
-a + a = 0
1/a*a = 1