| Term | Definition |
|---|
| closure property of addition | a + b |
| closure property of multiplication | ab |
| commutative property of addition | a + b = b + a |
| commutative property of multiplication | ab = ba |
| associative property of addition | a + (b + c) = (a + b) + c |
| associative property of multiplication | a(bc) = (ab)c |
| multiplicative property of zero | a x 0 = 0 |
| multiplicative property of -1 | a x -1 = -a |
| identity property of addition | a + 0 = a |
| identity property of multiplication | a x 1 = a |
| definition of subtraction | a - b = a + (-b) |
| definition of division | a / b = a x 1/b |
| distributive property | a(b + c) = ab + ac OR a(b - c) = ab - ac |
| property of opposites in products | (-a)(b) = -ab OR a(-b) = -ab OR (-a)(-b) = ab |
| property of reciprocals | a x 1/a = 1 |
| property of the reciprocal of a product | 1/ab = 1/a x 1/b |
| property of the reciprocal of the opposite of a number | 1/-a = -1/a |
| reflexive property | a = a |
| symmetric property | If a = b, then b = a. |
| transitive property | If a = b and b = c, then a = c. |
| property of opposites | a + (-a) = 0 |
| property of the opposite of a sum | -(a + b) = (-a) + (-b) |
| terms | numbers in an addition problem |
| factors | numbers in a multiplication problem |
| sum | answer in addition |
| product | answer in multiplication |
| difference | answer in subtraction |
| quotient | answer in division |
| even integer | the product of 2 and any integer |
| odd integer | any integer that is not even |
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