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63 Rational Numbers Warm-up 1)30% 0f $80 2)Find the mean: 20, 40, 50, 30, 10 1)Find the next three terms: 1, 2, 4, 8,__, __, __ 2)1/9 of ) 2 / 3 = 8 / x X = ____ 2)(2.0 X 10 5 ) (3.0 X 10 6 )

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63 Rational Numbers Remember: A rational number must be able to be expressed as a ratio / fraction.

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63 Example 1 Express 2/3 as an equivalent decimal and percent. Then express 2/3 as a decimal rounded to the thousandths place. Express 2/11 as an equivalent decimal and percent. Then express 2/11 as a decimal rounded to the thousandths place.

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63 Example 2 Express 16 2 / 3 % as a reduced fraction and as a decimal. Convert the percent to a fraction and decimal – 8 1 / 3 %

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63 Example 3 Arrange these numbers in order from least to greatest. – 4/5, 83 1 / 3 %, 0.83

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63 Example 4 The incumbent received 41 2/ 3 % of the 1260 votes cast in the town council election. Describe how to estimate the number of votes the incumbent received. The calculate the exact number of votes.

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63 Fractions with Negative Exponents Recall that with fractions, we can reverse the position of the numerator and denominator to form the reciprocal. – Ex: ¾ 4/3 – Ex: x / y y / x If the base of a negative exponent is a fraction, we make the exponent positive by replacing the fraction with its reciprocal. – Ex: (2/3) -4 (3/2) 4 – Ex: (x/y) -n (y/x) n

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63 Example 5 Simplify: (1/3) -2 Simplify: (1/2) -3

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