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Properties of Numbers
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Terms in this set (12)
Reflexive Property
any quantity is equal to itself, example a=a, 1+2=2+1
Symmetric Property
If one quantity equals a second quantity, then the second equals the first; example If 8=2+6 then 2+6=8
Transitive Property
if one quantity equals a second quantity and the second quantity equals a third quantity, then the first quantity equals the first quantity; example: if a=b and b=c then a=c
Substitution Property
A quantity may be substituted for its equal in any expression; example: if n=11 then 4n equals 4 times 11
additive Identity
for any number "a", the sum of "a" and 0 is "a"; example: 2+0=2, 0+2=2
Additive Inverse
a number and its opposite are additive inverses of each other; example: 3 + (-3)=0
Multiplicative Identity
For any number "a", the product of "a" and 1 is "a"; example a times 1 equals "a", 14 times 1=14
Multiplicative Property of Zero
for any number "a", the product of "a" and 0 is 0; example: "a" times 0=0, 9 times 0=9
Multiplicative Inverse
for every number "a/b", where "a" and "b" is not 0, there is exactly one number "b/a" such that the product of "a/b" times "b/a" is 1
Commutative Property
The order in which you add or multiply numbers does not change their sum or product, example: a+b=b+a, "a" x "b"= "b" x "a"
Associative Property
The way you group 3 or more numbers when adding or multiplying does not change their sum or product. examples: (3+5)=7=3+(5+7)
Distributive Property
for any numbers "a", "b", "c",
a(b+c)= ab+ac
3(2+5)= 3 times 2 + 3 times 5
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