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Properties of numbers, Done by: Mayan Alturki - Coggle Diagram
Properties of numbers
Additive Inverse
For any number a, a + (-a) = 0
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Associative Property
For any numbers a, b, and c,
(a + b) + c = a + (b + c) and (ab)c = a(bc)
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Additive identity
For any number a, a + 0 = a
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Multiplicative Identity
For any number a, a ・ 1 = a
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Symmetric Property
For any numbers a and b, if a = b, then b = a.
Eg: If 8 = 2 + 6, then 2 + 6 = 8.
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Substitution Property
If a = b, then a may be replaced by b in any expression.
Eg: If n = 11, then 4n = 4 · 11
Transitive Property
For any numbers a, b, and c, if a = b and b = c, then a = c.
Eg: If 6 + 9 = 3 + 12 and 3 + 12 =15, then 6 + 9 = 15
Commutative Propert
For any numbers a and b, a + b = b + a and a · b = b · a
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