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Additional info for Amsco's Algebra Two and Trigonometry
Since we want to move the decimal point 4 places, multiply by 104 5 10,000: (2) Multiply the value of x by the power of 10 that makes the decimal point follow the digits that do not repeat. 4848. . 4848. . pgs 8/12/08 1:47 PM Page 43 Rational Numbers 43 Procedure To convert an infinitely repeating decimal to a common fraction: 1. Write the equation: x 5 decimal value. 2. Multiply both sides of the equation in step 1 by 10m, where m is the number of places to the right of the decimal point following the first set of repeating digits.
2x(x 1 1) 5 12 16. x(x 2 2) 1 2 5 1 17. pgs 8/12/08 30 1:47 PM Page 30 The Integers Applying Skills 18. Brad is 3 years older than Francis. The product of their ages is 154. Determine their ages. 19. The width of a rectangle is 12 feet less than the length. The area of the rectangle is 540 square feet. Find the dimensions of the rectangle. 20. The length of a rectangle is 6 feet less than three times the width. The area of the rectangle is 144 square feet. Find the dimensions of the rectangle. 21.
Do you agree with Abby? Explain why or why not. 2 3 2. Does 2a 2a 2 3 5 1 for all real values of a? Justify your answer. Developing Skills In 3–10, list the values of the variables for which the rational expression is undefined. 2 3. 5a 3a 4. 22d 6c 1 2 5. a ab 7. 2a 2a 2 7 8. b2 b1 1b 32 6 9. 2c2 4c 2 2c 2 5 6. xx 1 5 10. pgs 8/12/08 48 1:47 PM Page 48 The Rational Numbers In 11–30, write each rational expression in simplest form and list the values of the variables for which the fraction is undefined.
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