2. Show Me With The Money Presented by A. Dávila, Ed.D.

3. Scientific Notation and Standard Form Created by Dr. A. Dávila

4. Scientific Notation: a way of writing a number as a product of two factors x

5. Scientific Notation: a way of writing a number as a product of two factors The first factor has exactly one nonzero digit to the left of the decimal point x

6. Scientific Notation: a way of writing a number as a product of two factors The first factor has exactly one nonzero digit to the left of the decimal point (less then 10 but greater than 1) The second factor is a power of ten x 10

7. Place Value Review

8. The value increases 10 times more than the previous value.

9. 10 0 Ones 1 The ones is the starting point (no powers of ten)

10. The value increases 10 times more than the previous value. multiply by 10

11. Tens 10

12. Tens 10 1 x 10 from the ones place to the tens place (10 times more)

13. Tens 10 1 1 x 10 One power of ten

14. Tens 10 1 Various methods of representing the Tens Place

15. The value increases 10 times more than the previous value. multiply by 10

16. Hundreds 100

17. Hundreds 10 x 10 100 from the tens to the hundreds place (10 times more)

18. 10 2 10 x 10 100 Hundreds two powers of ten

19. Hundreds 10 2 100 Various methods of representing the Hundreds Place

20. As you continue to the left (higher value sections) in the place value chart, the value increases 10 times more than the previous value. multiply by 10

21. 1,000 Thousands

22. 10 0 x 10 1,000 Thousands from the hundreds to the thousands place (10 times more)

23. 10 0 x 10 1,000 10 x 10 x 10 Thousands

24. 10 3 10 0 x 10 1,000 10 x 10 x 10 Thousands three powers of ten

25. 10 3 1,000 Thousands Various methods of representing the Thousands Place

26. As you continue to the left (higher value sections) in the place value chart, the value increases 10 times more than the previous value. multiply by 10

27. Ten-thousands 10,000

28. Ten-thousands 1000 x 10 10,000 from the thousand to the ten thousands place (10 times more)

29. Ten-thousands 1000 x 10 10,000 100 x 10 x 10

30. Ten-thousands 1000 x 10 10,000 100 x 10 x 10 10 x 10 x 10 x 10

31. Ten-thousands 10 4 1000 x 10 10,000 100 x 10 x 10 10 x 10 x 10 x 10 four powers of ten

32. Ten-thousands 10 4 10,000 Various methods of representing the Ten-thousands Place

33. As you continue to the left (higher value sections) in the place value chart, the value increases 10 times more than the previous value. multiply by 10

34. 100,000 One Hundred Thousands

35. 100,000 One Hundred Thousands 10000 x 10 from the ten thousands to the hundreds thousands place (10 times more)

36. 100,000 One Hundred Thousands 1000 x 10 x 10 10000 x 10

37. 100,000 One Hundred Thousands 100 x 10 x 10 x 10 1000 x 10 x 10 10000 x 10

38. 10 x 10 x 10 x 10 x 10 100,000 One Hundred Thousands 100 x 10 x 10 x 10 1000 x 10 x 10 10000 x 10

39. 10 5 10 x 10 x 10 x 10 x 10 100,000 One Hundred Thousands 100 x 10 x 10 x 10 1000 x 10 x 10 10000 x 10 five powers of ten

40. 10 5 100,000 One Hundred Thousands Various methods of representing the One Hundreds Thousands place

41. W H O L E N U M B E R S 10 0

42. W H O L E N U M B E R S 10 1 0

43. W H O L E N U M B E R S 10 1 2 0

44. W H O L E N U M B E R S 10 1 2 3 0

45. W H O L E N U M B E R S 10 1 2 3 4 0

46. 0 1 2 3 4 5 Powers of 10 for Whole Numbers

47. Powers of 10 for Decimal Places/Fractional Parts

48. Decimal Fraction: a fraction in which the denominator is some power of ten

49. As you move to the left on the place value chart the value decreases 10 times. divide by 10

50. This is one-tenth. If we relate it to the USA monetary, it has a value of 10¢.

51. 0.1 Tenths

52. 0.1 1 ÷ 10 Tenths from the ones to the tenths place (10 times less)

53. 10 0.1 1 1 ÷ 10 Tenths 1 x

54. 10 0.1 1 1 ÷ 10 Tenths 1 x 10 1 The denominator is power of ten

55. 10 0.1 1 1 ÷ 10 Tenths 1 x 10 1 one power of ten (denominator)

56. Tenths 10 0.1 Various methods of representing one-tenth 10 1

57. This is one-hundredths. If we relate it to the USA monetary, it has a value of 1¢.

58. The value decreases 10 times. divide by 10

59. Hundredths 0.01

60. ÷ 10 10 1 Hundredths 0.01 from the tenths to the hundredths place (10 times less)

61. 10 ÷ 10 10 1 11 x Hundredths 0.01

62. 10 1 2 ÷ 10 10 1 11 x Hundredths 0.01 two powers of ten (denominator)

63. 10 -2 10 1 2 ÷ 10 10 1 11 x Hundredths 0.01

64. 10 -2 100 1 Hundredths 0.01 10 1 2

65. As you move to the left on the place value chart the value decreases 10 times. divide by 10

66. This is one-tenth. If we relate it to the USA monetary, it has a value of 10¢.

67. 0.001 Thousandths

68. 0.001 ÷ 10 100 1 Thousandths from the hundredths to the thousandths place (10 times less)

69. 0.001 10 1 ÷ 10 100 1 1 x Thousandths

70. 0.001 10 1 ÷ 10 100 1 10 x 10 x 10 1 100 1 x Thousandths

71. 0.001 10 1 ÷ 10 100 1 10 x 10 x 10 1 100 1 x Thousandths 10 1 3 three powers of ten (denominator)

72. 10 -3 0.001 10 1 ÷ 10 100 1 1 x Thousandths 10 1 3

73. -3 0.001 100 1 Thousandths 10 1 3

74. FRACTIONALFRACTIONAL PARTS 10 -3

75. FRACTIONALFRACTIONAL PARTS 10 -2 10 -3

76. FRACTIONALFRACTIONAL PARTS 10 10 -2 10 -3

77. Write in standard form 2 x 10 5

78. Write in standard form 2 x 10 5 10 5

79. Write in standard form 2 x 10 5 2 x 100000 10 5

80. Write in standard form 2 2 x 10 5 2 x 100000

81. Write in standard form 20 2 x 10 5 2 x 100000

82. Write in standard form 200 2 x 10 5 2 x 100000

83. Write in standard form 2000 2 x 10 5 2 x 100000

84. Write in standard form 20000 2 x 10 5 2 x 100000

85. Write in standard form 200000 2 x 10 5 2 x 100000

86. Write in standard form 3.1 x 10 4

87. Write in standard form 3.1 x 10 4 10 4

88. Write in standard form 3.1 x 10 4 3.1 x 10000 10 4

89. Write in standard form 3.1 3.1 x 10 4 3.1 x 10000

90. Write in standard form 31. 3.1 x 10 4 3.1 x 10000

91. Write in standard form 310. 3.1 x 10 4 3.1 x 10000

92. Write in standard form 3100. 3.1 x 10 4 3.1 x 10000

93. Write in standard form 31000. 3.1 x 10 4 3.1 x 10000

94. Write in standard form 7.05 x 10 -3

95. Write in standard form 7.05 x 10 -3 10 -3

96. Write in standard form 7.05 x 10 -3 7.05 x 10 -3 1000 _ 1 _

97. Write in standard form 7.05 7.05 x 10 -5 7.05 x 1000 _ 1 _ 10 -3

98. Write in standard form.705 7.05 x 10 -3 7.05 x 1000 _ 1 _ 10 -3

99. Write in standard form.0705 7.05 x 10 -3 7.05 x 1000 _ 1 _ 10 -3

100. Write in standard form.00705 7.05 x 10 -3 7.05 x 1000 _ 1 _ 10 -3

101. Write in scientific form 5,200,000

102. Scientific Notation: a way of writing a number as a product of two factors x

103. Scientific Notation: a way of writing a number as a product of two factors The first factor has exactly one nonzero digit to the left of the decimal point x

104. Scientific Notation: a way of writing a number as a product of two factors The first factor has exactly one nonzero digit to the left of the decimal point The second factor is the necessary power of ten x 10

105. Write in scientific form A number greater than or equal to one

106. Write in scientific form x 10 Power of 10 A number greater than or equal to one

107. Write in scientific form x 10 Power of 10 A number greater than or equal to one Exponent

108. 10 0 1 2 3 4 5

109. Write in scientific form 10 0 1 2 3 4 5 x 10 Power of 10 A number greater than or Equal to one Exponent

110. Write in scientific form 10 0 1 2 3 4 5 x 10 Power of 10 A number greater than or equal to one Exponent 5.2

111. Write in scientific form 10 0 1 2 3 4 5 x 10 Power of 10 A number greater than or equal to one Exponent 5.2 5

112. 0.0016 Write in scientific form

113. x 10 Power of 10 A number greater than or Equal to one Exponent

114. 10 10 -2 10 -3 Ten Thousandths 10 -4

115. 10 10 -2 10 -3 Ten Thousandths 10 -4 Write in scientific form A number greater than or Equal to one

116. 10 10 -2 10 -3 Ten Thousandths 10 -4 Write in scientific form x 10 Power of 10 A number greater than or Equal to one Exponent 1.6

117. 10 10 -2 10 -3 Ten Thousandths 10 -4 Write in scientific form x 10 Power of 10 A number greater than or Equal to one Exponent 1.6 -3

118. 0.0216 Write in scientific form

119. x 10 Power of 10 A number greater than or Equal to one Exponent

120. Write in scientific form A number greater than or Equal to one

121. 10 10 -2 10 -3 Write in scientific form A number greater than or Equal to one Ten Thousandths

122. 10 10 -2 10 -3 Write in scientific form A number greater than or Equal to one Ten Thousandths

123. 10 10 -2 10 -3 Write in scientific form x 10 Power of 10 A number greater than or Equal to one Exponent Ten Thousandths 2.16

124. 10 10 -2 10 -3 Write in scientific form x 10 Power of 10 A number greater than or Equal to one Exponent 2.16 -2 Ten Thousandths