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Definition
| Whole numbers including negative numbers and zero. No decimals or fractions. |
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A fraction with a numerator is GREATER than it's denominator. Improper fractions can be converted to mixed numbers. Exapmles:
Improper fraction- 57/10
Mixed number- 5 7/10 |
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Definition
An integer that is greater than 1, that has no factors other than 1 itself.
2 is the ONLY EVEN prime number. |
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| Numbers that follow one after another, in order, without skipping numbers. |
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A positive integer that divides evenly into a given number with no remainder. Example:
Factors of 12 are 1,2,3,4,6,12 |
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A number that a given number will divide into with no remainder. Example:
Multiples of 12 are 0,12,24,60 |
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| Rule: Addition and subtraction of positives and negatives. |
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Definition
Two negatives = a positive. So x - (-y) = x + y.
Adding is basically subtraction. 6 + (-4) is really 6-4 = 2. Subtracting is basically adding. 6 - (-4) is really 6 + 4 = 10. Also, -6 - (-4) is really -6 + 4 = -2. |
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| Rule: Multiplication and division of negative and positive numbers. |
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Definition
Divide or subtract like normal. To determine weather the answer will be (-) or (+) count the number of negatives (-). Odd amount of negatives = negative product. Even amount of negatives = a positive product. Example:
6 X (-4) = -24
(-6) X (-4) = 24 |
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Definition
Breaking down a number until you are left with only prime numbers. Example:
Prime factorization of 168
168=4x42
=4x6x7
=2x2x2x3x7 |
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| Greatest Common Factor (GCE) |
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Definition
Determines the the factors of multiple integers and identifies the highest common similar factor in those integers. Example:
GCF of 40 and 140
Prime Factors:
40= 4x10 = 2x2x2x5
140= 10x14 = 2x5x2x7 = 2x2x5x7
Both share 2x2x5. Multiply out and your GCF is 20. |
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Term
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Definition
Multiply the two integers given by each other. Example:
Common Multiple of 20 and 16
20 x 16 = 320 |
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| Rule: Least Common Multiple |
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Definition
Find Prime Factorization for both numbers. Multiply each factor. Repeating factors are to be used as many times as they show up in the integer containing the most of that factor. Example:
20 and 16
20= 2x2x5
16= 2x2x2x2
Least common multiple = 2x2x2x2x5 = 80 |
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| Rule: Order of Operations |
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Definition
Please Excuse My Dear Aunt Sally
Parentheses, Exponents, Multiplication and division (left to right), Addition and Subtraction (left to right) |
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