Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Georg Cantor's first set theory article wikipedia , lookup
Law of large numbers wikipedia , lookup
Infinitesimal wikipedia , lookup
Large numbers wikipedia , lookup
History of logarithms wikipedia , lookup
Real number wikipedia , lookup
Location arithmetic wikipedia , lookup
Elementary arithmetic wikipedia , lookup
Continued fraction wikipedia , lookup
Approximations of π wikipedia , lookup
NAME _____________________________________________ DATE __________________ PERIOD _________ Lesson 1 Reteach Rational Numbers To express a fraction as a decimal, divide the numerator by the denominator. Example 1 3 Write − as a decimal. 4 3 − means 3 ÷ 4. 4 3 The fraction − can be written as 0.75, since 3 ÷ 4 = 0.75. 4 Example 2 Write -0.16 as a fraction in simplest form. 16 -0.16 = - −−− 100 4 = - −− 25 0.16 is 16 hundredths. Simplify. 4 The decimal -0.16 can be written as - −− . 25 Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. Example 3 − Write 8.2 as a mixed number in simplest form. − Assign a variable to the value 8.2. Let N = 8.222… . Then perform the operations on N to determine its value. − N = 8.2 or 8.222…. 10(N) = 10(8.222) 10N = 82.222… -N = 8.222… 9N = 74 9N 74 −− = −− 9 9 2 N = 8− 9 Multiply each side by 10 because 1 digit repeats. Multiplying by 10 moves the decimal point 1 place to the right. Subtract N = 8.222… to eliminate the repeating part. 10N - 1N = 9N Divide each side by 9. Simplify. − 2 The decimal 8.2 can be written as 8 − . 9 Exercises Write each fraction or mixed number as a decimal. 2 1. − 0.4 5 − 2 5. - − -0.6 3 3 2. −− 7 3. − 0.3 10 0.875 8 − 2 6. -1 − -1.2 9 − 2 6.6 7. 6 − 3 16 4. 2 −− 25 2.64 −− 3 8. -4 −− -4.27 11 Write each decimal as a fraction or mixed number in simplest form. − 1 − 3 7 4 9. 0.8 −− 10. -0.15 - −− 11. 0.1 − 12. 1.7 1 − 5 Course 3 • Chapter 1 Real Numbers 20 9 9 1 NAME _____________________________________________ DATE __________________ PERIOD _________ Lesson 1 Skills Practice Rational Numbers Write each fraction or mixed number as a decimal. 1 1. −− 10 0.1 1 2. − 8 0.125 3 3. - − -0.75 4 4. - − 21 5. −− -0.42 9 6. -3 −− 9 4.36 7. 4 −− 7 8. − 4 -0.8 5 50 -3.45 20 25 − 0.7 9 − 1 -1.16 9. -1 − 6 5 0.−− 15 11. −− 15 −− 7.27 3 12. 7 −− 33 − -2.26 4 10. -2 −− 11 7 14. 0.7 −− 9 13. 0.9 −− 10 10 23 25 21 25 15. 0.84 −− 16. -0.92 - −− 3 25 17. -1.12 -1 −− 7 -2 −− 19. -2.35 20 18. -5.05 20. 8.85 1 -5 −− 20 17 8 −− 20 − 1 21. -0.1 - − − 8 22. 4.8 4 − 7 − 23. 6.7 6 − − 4 24. -8.4 -8 − 9 9 2 9 9 Course 3 • Chapter 1 Real Numbers Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. Write each decimal as a fraction or mixed number in simplest form.