Term
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Definition
whole number
nonzero whole number |
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Term
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Definition
| the top part of a fraction |
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Term
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Definition
| the bottom part of a fraction |
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Term
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Definition
1. the unit, or whole, is clearly in mind (what =1?)
2. the denominator tells how many pieces of equal size the unit is cut into (or thought of as being cut into)
3. the numerator tells how many such pieces are being considered |
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Term
| sharing equally division (partitive division) |
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Definition
| a fraction (a/b) can be interpreted this way, in which case "a" whole would be partitioned into "b" equal parts, each part being an equal share |
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Term
| repeated-subtraction division (measurement/quotitive division) |
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Definition
a/b
How many of "b" are in "a?" |
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Term
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Definition
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Term
| equivalent / equal fraction |
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Definition
different ways to represent the same quantity
e.g. 2/3 and 100/150 |
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Term
| multiplication rule to preserve fractions |
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Definition
as a general principle, for any "n" not equal to 0,
a/b = (a x n) / (b x n) |
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Term
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Definition
| a shared factor (a number which is multiplied by another to make the value being compared) between two numbers, typically used when reducing a fraction |
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Term
| simplest form / lowest terms |
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Definition
| a fraction where the numerator and denominator no longer have common factors greater than 1 |
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Term
| greatest common factor (GCF) |
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Definition
the largest number that is a factor of the two (or more) numbers in question
e.g.: GCF(12,18) = 6 |
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Term
| greatest common divisor (GCD) |
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Definition
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Term
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Definition
| using the multiplication rule to preserve the value of the fraction, obtain the same value for the denominator of two fractions |
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Term
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Definition
| only when the denominator has 2s and 5s as factors (must have at least one of each) |
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Term
| nonterminating, repeating decimals |
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Definition
| if the denominator has factors other than 2s and 5s |
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Term
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Definition
| any fraction or its equivalent terminating or repeating decimal |
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Term
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Definition
nonterminating, nonrepeating decimals
cannot be represented by a whole number as a numerator or denominator |
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Term
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Definition
| the set or rational numbers together with the set of irrational numbers |
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