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opposite
positive and negative numbers (ex. 5, -5)
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reciprocal
flips number over (1/4, 4/1)
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rational number
can be written as a fraction
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irrational number
- can't be written as a fraction (pi, square root of 2, e)
- a decimal that never ends and never repeats
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whole numbers
counting numbers (NOT negative, but includes 0)
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integers
positive and negative whole numbers (number line)
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closure property
addition: a + b = real number
multiplication: ab = real number
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commutative property
addition: a + b = b + a
multiplication: ab = ba
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associative
addition: (a + b) + c = a + (b + c)
multiplication: (ab)c = a(bc)
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identity
addition: a + 0 = 0 + a
multiplication: a x 1 = a, 1 x a = a
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inverse
addition: a + (-a) = 0
multiplication: a x 1/a = 1 , a = 0
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distributive
a (b + c) = ab + ac
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