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**Rational Numbers Warm-up 30% 0f $80 Find the mean: 20, 40, 50, 30, 10**

Find the next three terms: 1, 2, 4, 8,__, __, __ 1/9 of 7200 2/3 = 8/x X = ____ (2.0 X 105) (3.0 X 106)

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

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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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**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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**Example 3 Arrange these numbers in order from least to greatest.**

4/5, 83 1/3%, 0.83

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

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