2. Reasonableness with Fractions and Decimals

3. 1.Find what whole numbers the first decimal or fraction would be between. 2.Write the two numbers down. For Addition

4. 3.Find what whole numbers the second decimal or fraction would be between. 4.Write the two numbers down below the other two.

5. 5. Add the pairs of whole numbers. 6. Work the “real” problem.

6. 7. Make sure your answer is BETWEEN the “answer range” answers. If it IS NOT BETWEEN, your answer is wrong!

7. 2 + 3 What whole numbers is 2 between on a number line? 0 1 2 3 4

8. 2 + 3 0 1 2 3 4 2 3

9. 2 + 3 What whole numbers is 3 between on a number line? 0 1 2 3 4 23

10. 23 2 + 3 0 1 2 3 4 3 4

11. 23 2 + 3 0 1 2 3 4 3 4 + + 5 7

12. 2 + 3 9 8 17 = 1 x 3 x 4

13. 5 6 7 23 2 + 3 3 4 + + 5 7 0 1 2 3 4 6 8 1 1

14. 23 2 + 3 3 4 + + 5 7 0 1 2 3 4 5 6 7 8 1 1

15. 23 2 + 3 3 4 + + 5 7 5+ 1 0 1 2 3 4 5 6 7 8 9

16. 23 2 + 3 3 4 + + 5 7 6 6 0 1 2 3 4 5 6 7 8 9

17. 5 6 7 23 2 + 3 3 4 + + 5 7 6 6 0 1 2 3 4 6 8 9

18. 0 1 2 3 4 5 6 7 8 9 What whole numbers is 4 between on a number line? 4 + 3

19. 0 1 2 3 4 5 6 7 8 9 4 5 4 + 3

20. 0 1 2 3 4 5 6 7 8 9 What whole numbers is 3 between on a number line? 45 4 + 3

21. 0 1 2 3 4 5 6 7 8 9 45 3 4 4 + 3

22. 45 4 + 3 3 4 + + 7 9 0 1 2 3 4 5 6 7 8 9

23. 4 + 3 2 5 = 1 x 2

24. 7 9 45 4 + 3 3 4 + + 7 9 1 1 0 1 2 3 4 5 6 8

25. 45 4 + 3 3 4 + + 7 9 8 0 1 2 3 4 5 6 7 8 9 8

26. 7 9 45 4 + 3 3 4 + + 7 9 8 0 1 2 3 4 5 6 8 8

27. 0 1 2 3 4 5 6 7 8 9.075 + 5.2 What whole numbers is.075 between on a number line?

28. 0 1 2 3 4 5 6 7 8 9 01.075 + 5.2

29. 0 1 2 3 4 5 6 7 8 9 01.075 + 5.2 What whole numbers is 5.2 between on a number line?

30. 0 1 2 3 4 5 6 7 8 9 01 56.075 + 5.2

31. 01 5 6 + + 5 7 0 1 2 3 4 5 6 7 8 9.075 + 5.2

32. .075 + 5.2=.127 5 7 01 5 6 + + 5 7 0 1 2 3 4 6 8 9.127

33. 01 5 6 + + 5 7.075 + 5.2=1.27 5 7 0 1 2 3 4 6 8 9

34. +.075 +5.200 01 5 6 + + 5 75.275 5 7 0 1 2 3 4 6 8 9 5.275

35. 0 1 2 3 4 5 6 7 8 9 1.375 + 4 What whole numbers is 1.375 between on a number line?

36. 0 1 2 3 4 5 6 7 8 9 12 1.375 + 4

37. 4 is a whole number. Just use 4 both times. 12 1.375 + 4

38. 0 1 2 3 4 5 6 7 8 9 12 4 4 1.375 + 4

39. 12 4 4 + + 5 6 0 1 2 3 4 5 6 7 8 9 1.375 + 4

40. 1.375 + 4= 5 6 12 4 4 + + 5 6 0 1 2 3 4 7 8 9 1.379

41. 12 4 4 + + 5 6 1.375 + 4=1.379 5 6 0 1 2 3 4 7 8 9

42. 12 4 4 + + 5 6 +1.375 +4.000 5 6 0 1 2 3 4 7 8 9 5.375

43. 1.Follow steps 1 – 3 from addition. 2.Switch the 2 nd numbers before you write them down. For Subtraction

44. 3.Subtract. If you get the same answer, instead of an “answer range”, you forgot to SWITCH the set of numbers.

45. 4. Work the “real” problem. 5. Make sure your answer is BETWEEN the “answer range” answers.

46. If it IS NOT BETWEEN, your answer is wrong!

47. 0 1 2 3 4 5 6 7 8 3 - 1 What whole numbers is 3 between on a number line?

48. 0 1 2 3 4 6 8 3 4 3 - 1

49. What whole numbers is 1 between on a number line? 34 3 - 1 0 1 2 3 4 5 6 7 8

50. 34 1 2 3 - 1

51. 34 1 2 - - 2 2 3 - 1 0 1 2 3 4 5 6 7 8 If you get the same answer, instead of an “answer range”, you forgot to SWITCH the set of numbers.

52. 34 12 - - 1 3 3 - 1 0 1 2 3 4 5 6 7 8

53. 3 - 1 4 7 3 x 2

54. 34 2 1 - 1 3 3 - 1 - 0 2 4 5 6 7 8 9 1 3

55. 34 2 1 - - 1 3 3 - 1 2 0 2 4 5 6 7 8 9 1 3

56. 2 34 2 1 - - 2 1 3 0 2 4 5 6 7 8 9 1 3 3 - 1

57. 0 1 2 3 4 5 6 7 8 9 What whole numbers is 7 between on a number line? 7 - 2

58. 0 1 2 3 4 5 6 7 8 9 7 8 7 - 2

59. 0 1 2 3 4 5 6 7 8 9 What whole numbers is 2 between on a number line? 78 7 - 2

60. 0 1 2 3 4 5 6 7 8 9 78 2 3 7 - 2

61. 78 2 3 - - 5 5 0 1 2 3 4 5 6 7 8 9 7 - 2

62. 78 23 - - 4 6 0 1 2 3 4 5 6 7 8 9 7 - 2

63. 7 - 2 x 2 22 6 - 3 + 4 4 6 3

64. 4 6 78 3 2 - - 4 6 0 1 2 3 5 7 8 9 7 - 2

65. 78 3 2 - - 4 6 4 7 - 2 6 6 4 6 0 1 2 3 5 7 8 9

66. 78 3 2 - - 4 6 4 7 - 2 6 6 4 6 0 1 2 3 5 7 8 9 4

67. 0 1 2 3 4 5 6 7 8 9 5.3 -.086 What whole numbers is 5.3 between on a number line?

68. 0 1 2 3 4 5 6 7 8 9 56 5.3 -.086

69. 0 1 2 3 4 5 6 7 8 9 56 What whole numbers is.086 between on a number line?

70. 56 0 1 2 3 4 5 6 7 8 9 01 5.3 -.086 - - 5 5

71. 56 0 1 2 3 4 5 6 7 8 9 0 1 5.3 -.086 - - 4 6

72. . 033 56 0 1 5.3 -.086= - - 46 4 6 0 1 2 3 5 7 8 9.033

73. 56 0 1 5.3 -.086=.033 - - 46 4 6 0 1 2 3 5 7 8 9

74. 56 0 1 5.300 -.086 - - 46 2 9 10 4125. 4 6 0 1 2 3 5 7 8 9 5.214

75. 0 1 2 3 4 5 6 7 8 9 6 is a whole number. Just use 6 both times. 6 - 1.375

76. 0 1 2 3 4 5 6 7 8 9 66 6 - 1.375

77. 0 1 2 3 4 5 6 7 8 9 What whole numbers is 1.375 between on a number line? 66

78. 6 0 1 2 3 4 5 6 7 8 9 12 6 6 - 1.375

79. 66 1 2 - - 5 4 0 1 2 3 4 5 6 7 8 9 6 - 1.375

80. 0 1 2 3 6 7 8 9 6 1 - 5 6 2 - 4 4 5 1.369 6 - 1.375 = 1.369

81. 66 1 2 - - 5 4 6 – 1.375=1.369 0 1 2 3 6 7 8 9 4 5

82. +6.000 - 1.375 66 1 2 - - 5 4 5 9 9 10 5264. 0 1 2 3 6 7 8 9 4 5

83. +6.000 - 1.375 4.625 66 1 2 - - 5 4 5 9 9 10 4.625 0 1 2 3 6 7 8 9 4 5