Term
| associative prop of multiplication |
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Definition
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Term
| additive prop of equality |
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Definition
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Term
| definition of subtraction |
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Definition
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Term
| commutative prop of multiplication |
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Definition
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Term
| property of the reciprocal of the product |
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Definition
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Term
| multiplicative prop of addition |
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Definition
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Term
| multiplicative prop of negative. 1 |
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Definition
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Term
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Definition
(-a) is a real number such that a+(-a)=0 |
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Term
| associative prop of addition |
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Definition
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Term
| identity property of addition |
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Definition
| the number 0 is a real number such that a+0=a |
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Term
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Definition
| in sums and products equals may be substituted for equals |
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Term
| identity prop of multiplication |
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Definition
the number 1 is real such that ax1=a |
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Term
| cancellation prop of multiplication |
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Definition
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Term
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Definition
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Term
| cancellation prop of addition |
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Definition
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Term
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Definition
| a(b+c)=(ab)+(ac)and (a+b)c=ac+bc |
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Term
| multiplicative property of zero |
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Definition
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Term
| commutative prop of addition |
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Definition
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Term
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Definition
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Term
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Definition
| If a = b and b = c, then a = c |
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Term
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Definition
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Term
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Definition
| 1/a is a real number such that a x 1/a=1 |
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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 + c = b + c |
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Term
| Multiplicative Property of Equality |
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Definition
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Term
| Subtraction Property of Equality |
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Definition
| if a = b, then a - c = b – c |
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Term
| Comparison property of Inequality |
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Definition
| If x = y + z and z > 0 then x > y |
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Term
| Addition Property of Order |
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Definition
| if a < b, then a + c < b + c |
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Term
| Multiplication Property of Order |
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Definition
| a < b, c is +, then ac < bc |
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Term
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Definition
| if ab = 0, then either a = 0 or b = 0 (or both) |
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