Term
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Definition
| positive and negative numbers |
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Term
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Definition
the combination of the set of whole numbers, their opposites, and the number zero
{...-2, -1, 0, 1, 2....} |
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Term
| opposites / additive inverses |
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Definition
when the sum of the two numbers is zero
a + (-a) = 0 |
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Term
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Definition
| a set that if, for every choice of two different numbers within the set, there is always another number from the set that is between them |
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Term
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Definition
a number's distance from 0
denoted |b| |
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Term
| addition of signed numbers when both numbers have the same sign |
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Definition
if both numbers are positive:
a + b = |a+b|
if both numbers are negative:
a + b = -(|a| + |b|) |
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Term
| addition of signed numbers when one is positive and the other is negative |
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Definition
consider "a" to be positive and "b" to be negative
if |a|<|b| then a + b = |a|-|b|
if |a|>|b| then a + b = -(|b|-|a|) |
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Term
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Definition
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Term
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Definition
| if a = -b, then a + b = 0 |
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Term
| closed / closure property |
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Definition
| a set of numbers that when under an operation, the result is also in the set of numbers in question |
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Term
| multiplying and dividing two signed numbers |
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Definition
if the signs of two numbers are the same, the product or quotient will be positive
if the signs of the two numbers are different, the product or quotient will be negative |
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Term
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Definition
this is the number 1, because for any number "a"
a * 1 = 1 |
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Term
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Definition
| if the product of the two numbers is 1, then each number is this to each other |
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Term
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Definition
| another name for multiplicative inverses |
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