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Real Numbers Real Numbers { , 3, -8, , π, - , 7.9, 5. , 6.343434… , Rational Number: { , 3, -8, , 9.27346587…} , 7.9, 5. , 6.343434…} Irrational Number: *Repeating Decimal: a decimal with repeating digit(s). *Terminating Decimal: decimal whose digits stop. , π, - , 9.27346587… Non-perfect Square: a number whose root is not a whole number. { , , } Integers: {…-3, -2, -1, 0, 1 ,2 ,3…} Non-Repeating, Non-Terminating Decimal: A decimal that continues forever and does NOT repeat. { 9.3184…, 4.71932…, 0.8571…} Whole Numbers: {0, 1, 2, 3…} Counting Numbers: {1, 2, 3…} Determine if the number is rational (R) or irrational (I). Support your answer: if rational determine if the number is if irrational determine if the number is 1. a terminating decimal or 2. a repeating decimal Ex1 1. a non-perfect square or 2. non-repeating, non-terminating decimal 7.12 = R because it is a terminating decimal. Ex2 = I because it is a non-perfect square. 1. 6. _____________________________________________________ 2. 9.4714…_______________________________________________ 3. - ____________________________________________ ________ 4. 5. 8.271…________________________________________________ 6. - 7. π 8. ____________________________________________ ________ __________________________________________________ ___________________________________________________ ________________________________________________________ 9. 1.23 ___________________________________________________ 10. 5 ____________________________________________________ 11. 0 ____________________________________________ _______ 12. 13. ________________________________________________ 14. __________________________________________________ 15. ________________________________________________ 16. ___________________________________________________ 17. ___________________________________________________ 18. ___________________________________________________ 19. -12.9_________________________________________________ _______________________________________________ 20. 1.726…_______________________________________________ Page 1 of 2 Integer to Ratio Terminating Decimal to Ratio Repeating Decimal to Ratio Simply place the integer over one. Simply say the number mathematically. Simply place the repeating decimal as the numerator. The denominator consists of 9’s, depending on how many numbers are repeating.. 2.4 “Two and four tenths.” -8 2 =2 2. = 11 2 2. 8.03 “Eight and three hundredths.” 2. 8 2 = 2 2 Convert each of the rational number into ratios to prove they are indeed rational. Simplify when necessary. 21. 9.07 22. 25. 29. 33. 21. -3. 23. 0. 24. 26. 27. - 28. 30. 31. 8. 32. 34. 35. 36. 2 -5. Place each number in the ONE appropriate box. 7.9 Irrational #’s 3 6.413… 0 21 1 100 4.02 0.3 Rational #’s Integers Whole #’s Counting #’s Page 2 of 2 0.3851…