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Properties of Real Numbers
Objects to move
a(b + c)= ab + ac
3(2 + 5) = 3(5 + 2)
a + b = b + a
(4 + 6)2 = (4)(2) + (6)(2)
a + 0 = a = 0 + a
a · b = b · a
5 + (7 + 8) = (5 + 7) + 8
(\frac{1}{2})x + (\frac{1}{2})2 = \frac{1}{2}(x+2)
(a · b)· c = a ·(b · c)
(4 · 7)· 3 = 4 ·(7 · 3)
a·1 = a = 1·a
x + 0 = x = 0+ x
a + (-a) = 0 = (-a) + a
2·(\frac{1}{2})
= 1 =
(\frac{1}{2})
·2
(\frac{a}{b})·(\frac{b}{a})
= 1 =
(\frac{b}{a})·(\frac{a}{b})
Commutative
Associative
Distributive
Identity
Inverse