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Published byTony Wimbrow Modified over 3 years ago

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Properties of Real Numbers

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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

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EX - Types Rationals, integers Rational Irrational Rational Irrational -2 -8/5 ∏ 9.4421 √7

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Graphing Numbers on a Number line 0

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More Vocabulary... Opposite or Additive Inverses -A positive and a negative -Ex: a and –a -10 and 10

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More Vocabulary... Reciprocals or Multiplicative Inverses -Flip the number and multiply by a negative -Ex: 2 and – 1/2 -2/3 and 3/2

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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

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Absolute Value Absolute Value is the distance away from zero on a number line 0

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Practice finding the absolute value

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Can be put in fractional form The decimal form of the number either terminates (ends) or repeats. Counting numbers, whole numbers, integers and.

Can be put in fractional form The decimal form of the number either terminates (ends) or repeats. Counting numbers, whole numbers, integers and.

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