Math Midterm
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18 terms
Terms | Definitions |
|---|---|
 Natural numbers | These are used to count with (starts with 1 to infinity) |
| Whole numbers | These numbers are the natural numbers and zero |
| Integers | 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. |
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