18 terms

Math Midterm

Natural numbers
These are used to count with (starts with 1 to infinity)
Whole numbers
These numbers are the natural numbers and zero
These are the natural numbers, their opposites, and zero
Rational Numbers
These are all the numbers that can be expressed in a fraction form where m and n are integers and the bottom denominator is not 0. These numbers, when expressed as decimals, end or repeat (includes repeating decimals and fractions)
Irrational Numbers
These are all the non-terminating numbers and non-repeating decimals (includes pi)
Real Numbers
These are all rational and irrational numbers (every number you know of)
Imaginary Numbers
These are numbers that result from a negative number under a square root sign
Complex Numbers
These are all real and imaginary numbers. It is written of the form a + bi, where "a" is a real number and "bi" is an imaginary part.
Commutative property
(order): a + b = b + a ORRRR ab = ba
Associative property
(grouping): (a + b) + c = a + (b + c) ORRRR (ab)c = a(bc)
Identity property
a + 0 = a, 0 + a = a (additive identiy) ORRRR a x 1 = a, 1 x a = 1 (multiplicative identity)
Inverse property
a + (-a) = 0 ORRRR a x 1/a = 1
In the equation: y < x + 2 .. . . . . . .. What do you shade?
You shade below the line
How do you multiply matrices?
You multiply ROW by COLUMN (The train falls over the cliff)
How do you determine the determinant?
In 2 x 2 matrices: ad - bc ... . . . . ... In 3 x 3 matrices: Find the minor
How does the sign array matrix go?
+ - + (top row), - + - (middle row, + - + (bottom row)
What is the rule for multiplying matrices?
The number of columns in the first matrix MUST EQUAL the number of rows in the second matrix.
Interval Notation
This is used to represent the interval between two real numbers.