Properties of Equality for Real Numbers
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7 Terms
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Reflexive Property
For every number a, a=a
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Symmetric Property
For all numbers a and b, if a=b, then b=a
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Transitive Property
For all numbers a,b,c, if a=b and b=c, then a=c
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Additional and subtraction properties
For all numbers a,b, and c, if a=b, then a+b =b+c, and a-c=b-c
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Multiplication and division properties
For all numbers a,b, and c, if a=b, then a*b=b*c, and if c does not = 0, a/c=b/c
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Substitution property
For all numbers a and b, if a=b, then a may be replaced by b in any equation or expression
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Distributive property
For all numbers a,b, and c, a(b+c)= ab+ac
Note 
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