Properties of Real Numbers

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6 Terms

1
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closure

a+b is a real number, ab is a real number

2
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commutative

a+b=b+a; ab=ba

3
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associative

(a+b) + c = a + (b+c); (ab)c = a(bc)

4
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identity

a + 0 = a, 0 + a = a; a*1 = a, 1*a = a

5
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inverse

a + (-a) = 0; a*1/a = 1, a does not = 0

6
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distributive

a(b+c) = ab + ac