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How can you prove if a and b are real numbers then a plus b-a equals b?
Wiki User
∙ 14y ago
Real numbers are commutative under addition (and subtraction)
so a + b - a = a - a + b
The set of Real numbers includes an additive identity, 0, such that a - a = 0
so a - a + b = 0 + b
The additive identity also has the property that 0 + b = b [= b + 0]
so 0 + b = b
Wiki User
∙ 14y ago
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