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11 Cards in this Set
- Front
- Back
- 3rd side (hint)
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reflexive property |
any quantity is equal to itself. |
5=5 4+7=4+7 |
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symmetric property |
if one quantity equals a second quantity, then the second quantity equals the first. |
if 8= 2+6 then 2+6=8 |
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transitive property |
if one quantity equals a second quantity and the second quantity equals a third quantity, then the first quantity equals the third quantity. |
if 6+9 = 3+12 and 3+12= 15, then 6+9=15 |
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substitution property |
a quantity may be substituted for its equal in any expression |
if n= 11, then 4n= 4•11 |
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additive identity |
for any number a, the sum of a and 0 is a |
2+0=2 0+2=2 |
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additive inverse |
a number and its opposite are additive inverses of each other |
3+ (-3) = 0 4-4 = 0 |
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multiplicative identity |
for any number a, the product of a and 1 is a. |
14•1 =14 1•14 =14 |
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multiplicative property of zero |
for any number a, the product of a and 0 is 0 |
9•0 = 0 0•9 = 0 |
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multiplicative inverse |
for every number a/b, where a, b = 0, there is exactly one number b/a such that the product of a/b and b/a is 1 |
4/5 • 5/4 = 20/20 or 1 5/4 • 4/5 = 20/20 or 1 |
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commutative property |
the order in which you add or multiply does not change their sum or product. |
4+8 = 8+4 7•11 = 11•7 |
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associative property |
the way you group three or more numbers when adding or multiplying does not change their sum or product. |
(3+5) + 7 = 3 + (5+7) (2•6) • 9 = 2• (6•9) |
