Precalc0001to0005-page21

Precalc0001to0005-page21 - I n P l a i n E n g l i s h 1) a...

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(Section 0.4: Absolute Value and Distance) 0.4.2 § Solution a) 7 ± 0 , so we use the top rule in the definition. 7 = 7 . b) 0 ± 0 , so we again use the top rule in the definition. 0 = 0 . TIP 2 : The absolute value of a nonnegative real number is itself . c) ± 3 < 0 , so we use the bottom rule in the definition: ± 3 = ±± 3 () = 3 TIP 3 : The absolute value of a negative real number is its opposite . § PART C: PROPERTIES OF ABSOLUTE VALUE Properties of Absolute Value
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Unformatted text preview: I n P l a i n E n g l i s h 1) a Absolute values are never negative . 2) a = a Opposites have the same absolute value. 3) ab = a b The absolute value of a product equals the product of the absolute values. 4) a b = a b , if b The absolute value of a quotient equals the quotient of the absolute values, provided the denominators are nonzero....
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