Total Cost of Apples and Sweet Potatoes

GeoGebra Commands & Parameters

1. LaTeX("\text{Determine the total cost of the apples.}") → step1
2. LaTeX("\text{Write the multiplication problem vertically,ignoring the decimal points.}") → step3_2
3. Segment(A, B) → aa
4. Segment(C, D) → bb
5. LaTeX((("\text{" * a) * "}")) → step3_1
6. LaTeX((("\text{" * b) * "}")) → step3_3
7. LaTeX((("\text{" * b) * "}")) → step4_2
8. LaTeX((("\text{" * a) * "}")) → step4_1
9. Mod(E, 10) → F
10. Mod(I, 10) → J
11. Segment(M_1, N_1) → c_1
12. LaTeX("\text{Multiply in the same way as with whole numbers,and then add the products.}") → step3_4
13. LaTeX("\text{Count the total number of digits that are to the right of the decimal}") → step10_4
14. LaTeX("\text{the right of the decimal points,so the decimal point of the answer}") → step10_2
15. LaTeX("\text{points in the numbers being multiplied.There are a total of \textcolor{#000099}{4} digits to}") → step10_1
16. LaTeX("\text{will be \textcolor{#000099}{4} places to the left of the last digit.}") → step10_3
17. LaTeX((("\text{" * b) * "}")) → step4_4
18. LaTeX((("\text{" * a) * "}")) → step4_3
19. Mod(M, 10) → N
20. Segment(O_1, R) → d_1
21. Segment(S, T) → e
22. Mod(I_1, 10) → J_1
23. LaTeX("\text{Determine the total cost of the sweet potatoes.}") → step12
24. LaTeX((("\text{" * total) * "}")) → step8
25. LaTeX((("\text{" * Roundoff) * "}")) → step8_1
26. Segment(U, V) → f
27. LaTeX("\text{x}") → mulsymbol4
28. Segment(W, Z) → g
29. LaTeX((("\text{" * c) * "}")) → step11_3
30. Mod(A1, 10) → A2
31. Segment(A_1, B_1) → h
32. Mod(M1, 10) → Ad1
33. Mod(M2, 10) → Ad5
34. Mod(M3, 10) → Ad10
35. LaTeX((("\text{" * c) * "}")) → step15_1
36. LaTeX((("\text{" * d) * "}")) → step15_4
37. LaTeX((((((("\text{Jane bought \textcolor{#000099}{" * a) * "} pounds of apples and \textcolor{#000099}{") * c) * "} pounds of sweet potatoes.The apples cost \textcolor{#000099}{\textdollar") * b) * "} per pound and}")) → Question_1
38. LaTeX((("\text{the sweet potatoes cost \textcolor{#000099}{\textdollar" * d) * "} per pound.How much did Jane spend in all on the apples and sweet potatoes?}")) → Question_2
39. LaTeX((("\text{" * d) * "}")) → step14_2
40. LaTeX((((((((("\text{Jane bought \textcolor{#000099}{" * c) * "} pounds of sweet potatoes at \textcolor{#000099}{\textdollar") * d) * "} per pound.Multiply \textcolor{#000099}{") * c) * "} by \textcolor{#000099}{") * d) * "} to determine the cost of the sweet potatoes.}")) → step13_1
41. LaTeX((((((((("\text{Jane bought \textcolor{#000099}{" * a) * "} pounds of apples at \textcolor{#000099}{\textdollar") * b) * "} per pound.Multiply \textcolor{#000099}{") * a) * "} by \textcolor{#000099}{") * b) * "} to determine the cost of the apples.}")) → step2
42. Mod(BB1, 10) → BB2
43. Mod(BB6, 10) → BB7
44. LaTeX((("\text{" * M7) * "}")) → step15_3
45. LaTeX((("\text{" * M8) * "}")) → step15_2
46. LaTeX("\text{Multiply in the same way as with whole numbers,and then add the products.}") → step15_7
47. Mod(M7, 10) → Y1
48. Mod(M8, 10) → Y6
49. LaTeX("\text{x}") → mulsymbol4_1
50. Segment(W_1, Z_1) → g_1
51. Segment(A_2, B_2) → h_1
52. LaTeX((("\text{" * c) * "}")) → step15_6
53. LaTeX((("\text{" * d) * "}")) → step15_8
54. Mod(BB6_1, 10) → BB7_1
55. LaTeX((("\text{" * M7_1) * "}")) → step15_9
56. LaTeX((("\text{" * result_1) * "}")) → step16_1
57. Mod(BB1_4, 10) → BB2_1
58. Mod(BB6_4, 10) → BB7_2
59. LaTeX("\text{Count the total number of digits that are to the right of the decimal points in the}") → step17_1
60. LaTeX("\text{numbers being multiplied.There are a total of \textcolor{#000099}{5} digits to the right of the decimal}") → step17_2
61. LaTeX("\text{Write the multiplication problem vertically,ignoring the decimal points.}") → step15_{12}
62. Mod(BB6_8, 10) → BB7_3
63. LaTeX("\text{Calculate how much Jane spent in all.}") → step20
64. Segment(C_1, D_1) → i
65. LaTeX("\text{Write the addition vertically,aligning the decimals.}") → step22
66. LaTeX("\text{Add,then bring the decimal point straight down for the answer.}") → step30
67. Segment(F_1, G_1) → j
68. LaTeX("\text{+}") → step28
69. roundFix(div, 2) → round_val
70. LaTeX((((("\text{which is \textcolor{#000099}{ " * round_val) * " }.Therefore,Jane spent \textcolor{#000099}{\textdollar ") * round_val) * " } on the apples.}")) → step11_2
71. LaTeX((("\text{Because this result represents a dollar amount,round the product,\textcolor{#000099}{" * dummy) * "},up to the nearest hundredth,}")) → step18
72. roundFix(dummy, 2) → roundval
73. LaTeX((((("\text{which is \textcolor{#000099}{" * roundval) * "}.Therefore,Jane spent \textcolor{#000099}{\textdollar") * roundval) * "} on the sweet potatoes.}")) → step19
74. LaTeX((((("\text{Add the two amounts, \textcolor{#000099}{\textdollar" * round_val) * "} and \textcolor{#000099}{\textdollar") * roundval) * "}.}")) → step21
75. LaTeX("\text{points,so the decimal point of the answer will be \textcolor{#000099}{5} places to the left of the last digit.}") → step17_3
76. Mod(Z1, 10) → Z2
77. Mod(Z5, 10) → Z6
78. LaTeX((("\text{" * finalresult) * "}")) → step29
79. LaTeX((("\text{Jane spent \textcolor{#000099}{\textdollar" * finalresult) * "} in all on apples and sweet potatoes.}")) → step31
80. If(M9_1 ≟ 0, LaTeX["\text{000000}"], LaTeX[(("\text{" * M9_1) * "}")]) → step15_{11}
81. If(M8_1 ≟ 0, LaTeX["\text{00000}"], LaTeX[(("\text{" * M8_1) * "}")]) → step15_{10}
82. LaTeX("\text{denoted \textcolor{#000099}{P(A} or \textcolor{#000099}{B)},is given by: \textcolor{#000099}{P(A} or \textcolor{#000099}{B)} = \textcolor{#000099}{P(A)} + \textcolor{#000099}{P(B)} – \textcolor{#000099}{P(A} and \textcolor{#000099}{B)}.}") → Words_2
83. LaTeX("\text{\mathbf{Addition\;Rule} If \textcolor{#000099}{A} and \textcolor{#000099}{B} are any two events, then the probability of \textcolor{#000099}{A} or \textcolor{#000099}{B},}") → Words_1
84. LaTeX("\text{\mathbf{Multiplication\;Rule} the probability of two events,\textcolor{#000099}{A} and \textcolor{#000099}{B}, is}") → Words_3
85. LaTeX("\text{the rule is \textcolor{#000099}{P(A} and \textcolor{#000099}{B)} = \textcolor{#000099}{P(A)} • \textcolor{#000099}{P(B)}.}") → Words_5
86. If(M5 ≟ 0, LaTeX["\text{00000}"], LaTeX[(("\text{" * M5) * "}")]) → step6_1
87. LaTeX((("\text{Apples bought " * a) * " pounds}")) → text2
88. LaTeX((("\text{Cost of apples per pound is \textdollar" * b) * "}")) → text3
89. LaTeX((("\text{Sweet potatoes brought " * c) * " pounds}")) → text4
90. LaTeX((("\text{Cost of sweet potatoes per pound is \textdollar" * d) * "}")) → text5
91. If(M9 ≟ 0, LaTeX["\text{000000}"], LaTeX[(("\text{" * M9) * "}")]) → step15_5
92. LaTeX("\text{+}") → text6
93. LaTeX((("\text{Because this result represents a dollar amount,round the product,\textcolor{#000099}{" * Roundoff) * "},to the nearest hundredth,}")) → step11_1
94. If(M3 ≟ 0, LaTeX["\text{00000}"], LaTeX[(("\text{" * M3) * "}")]) → step7_1
95. If(M4 ≟ 0, LaTeX["\text{0000}"], LaTeX[(("\text{" * M4) * "}")]) → step5_1
96. TableText({{LaTeX[(("\text{" * round_val) * "}")]}, {LaTeX[(("\text{" * roundval) * "}")]}}, "r") → addfinal1
97. TableText({{LaTeX[(("\text{" * round_val) * "}")]}, {LaTeX[(("\text{" * roundval) * "}")]}}, "r") → text8
98. TableText({{If[M4 ≟ 0, LaTeX["\text{00000}"], LaTeX[(("\text{" * M4) * "}")]]}, {If[M5 ≟ 0, LaTeX["\text{00000}"], LaTeX[(("\text{" * M5) * "}")]]}, {If[M3 ≟ 0, LaTeX["\text{00000}"], LaTeX[(("\text{" * M3) * "}")]]}}, "r") → text9
99. TableText({{LaTeX[(("\text{" * M7) * "}")]}, {If[M8_1 ≟ 0, LaTeX["\text{00000}"], LaTeX[(("\text{" * M8_1) * "}")]]}, {If[M9_1 ≟ 0, LaTeX["\text{000000}"], LaTeX[(("\text{" * M9_1) * "}")]]}}, "r") → text10
100. LaTeX("\text{+}") → add_1
101. LaTeX("") → mulsymbol3
102. TableText({{LaTeX[(("\text{" * M7) * "}")]}, {LaTeX[(("\text{" * M8) * "}")]}, {If[M9 ≟ 0, LaTeX["\text{000000}"], LaTeX[(("\text{" * M9) * "}")]]}}, "r") → text14
103. TableText({{If[M1 ≟ 0, LaTeX["\text{00000}"], LaTeX[(("\text{" * M1) * "}")]]}, {If[M2 ≟ 0, LaTeX["\text{00000}"], LaTeX[(("\text{" * M2) * "}")]]}, {If[M3 ≟ 0, LaTeX["\text{000000}"], LaTeX[(("\text{" * M3) * "}")]]}}, "r") → text7
104. Mod(I_2, 10) → J_2
105. LaTeX((("\text{" * Roundoff_1) * "}")) → step16
106. LaTeX("\text{+}") → step25
107. LaTeX("\text{\textcolor{#000099}{P(A} and \textcolor{#000099}{B)}=\textcolor{#000099}{P(A)•\;P(B|A)= P(B)} • \textcolor{#000099}{P(A|B)}; for independent events \textcolor{#000099}{A} and \textcolor{#000099}{B}, }") → Words_4