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Properties of Real Numbers
TYPES OF NUMBERS NATURAL 5, 3, 1, 700, 26 … positives, no fractions WHOLE 0, 1, 1052, 711, … naturals and 0 INTEGERS -4, -20, 0, 2, 78 … number line RATIONALS 6.2, 1/2, 0, 3.628, -2/3… integers with fractions IRRATIONALS √2, -√5, ∏… non-terminating decimals (no repeats) INTEGERS WHOLES IRRATIONAL RATIONALS NATURALS
EX - Types Rationals, integers Rational Irrational Rational Irrational -2 -8/5 ∏ √7
Graphing Numbers on a Number line 0
More Vocabulary... Opposite or Additive Inverses -A positive and a negative -Ex: a and –a -10 and 10
More Vocabulary... Reciprocals or Multiplicative Inverses -Flip the number and multiply by a negative -Ex: 2 and – 1/2 -2/3 and 3/2
PROPERTIES a+b=b+a or a∙b=b·a a+(b+c) = (a+b)+c a ∙ (b ∙ c) = (a ∙ b) ∙ c a+0=a a ∙1=a a+-a = 0 a ∙(1/a) = 1 a(b + c) = ab + ac COMMUTATIVE ASSOCIATIVE IDENTITY INVERSE DISTRIBUTIVE
Absolute Value Absolute Value is the distance away from zero on a number line 0
Practice finding the absolute value
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