Содержание
- 2. BASIC MATH A. BASIC ARITHMETIC Foundation of modern day life. Simplest form of mathematics. Four Basic
- 3. 1. Beginning Terminology Arabic number system - 0,1,2,3,4,5,6,7,8,9 Digits - Name given to place or position
- 4. 2. Kinds of numbers (con’t) Decimal Numbers - Fraction written on one line as whole no.
- 5. Number Line - Shows numerals in order of value Adding on the Number Line (2 +
- 6. 1. Addition (con’t) Adding in columns - Uses no equal sign 5 + 5 10 897
- 7. ADDITION PRACTICE EXERCISES a. 222 + 222 318 + 421 c. 611 + 116 d. 1021
- 8. 2. Subtraction Number Line - Can show subtraction. Number Line Subtraction with pictures Position larger numbers
- 9. SUBTRACTION PRACTICE EXERCISES a. 6 - 3 8 - 4 c. 5 - 2 d. 9
- 10. SUBTRACTION PRACTICE EXERCISES (con’t) 4. a. 387 - 241 399 - 299 c. 847 - 659
- 11. 3. Checking Addition and Subtraction
- 12. CHECKING ADDITION & SUBTRACTION PRACTICE EXERCISES 1. a. 6 + 8 b. 9 + 5 c.
- 13. CHECKING ADDITION & SUBTRACTION PRACTICE EXERCISES 1. a. 6 + 8 13 - 8 5 b.
- 14. 4. Multiplication In Arithmetic - Indicated by “times” sign (x). Learn “Times” Table 6 x 8
- 15. Complex Multiplication - Carry result to next column. Complex Multiplication 4. Multiplication (con’t) Problem: 48 x
- 16. MULTIPLICATION PRACTICE EXERCISES a. 21 x 4 81 x 9 c. 64 x 5 d. 36
- 17. MULTIPLICATION PRACTICE EXERCISES (con’t) 4. a. 94 x 73 b. 99 x 27 c. 34 x
- 18. Finding out how many times a divider “goes into” a whole number. Finding out how many
- 19. 5. Division (con’t) 1 48 2 4 0 0 5 240 0 So, 5040 divided by
- 20. DIVISION PRACTICE EXERCISES 1. a. b. c. 2. a. b. c. 3. a. b. 211 62
- 21. DIVISION PRACTICE EXERCISES (con’t) 6. a. b. 7. a. b. 8. a. b. 7 9000 61
- 22. 1. Changing whole numbers to fractions. Multiply the whole number times the number of parts being
- 23. CHANGING WHOLE NUMBERS TO FRACTIONS EXERCISES 1. 49 to sevenths 2. 40 to eighths 3. 54
- 25. CHANGING MIXED NUMBERS TO FRACTIONS EXERCISES 1. 4 1/2 3. 19 7/16 5. 6 9/14 2.
- 26. Changing improper fractions to whole/mixed numbers. Change 19/3 into whole/mixed number.. CHANGING IMPROPER FRACTIONS TO WHOLE/MIXED
- 28. REDUCING TO LOWER/LOWEST TERMS EXERCISES 1. Reduce the following fractions to LOWER terms: 15 20 =
- 29. REDUCING TO LOWER/LOWEST TERMS EXERCISES (con’t) 2. Reduce the following fractions to LOWEST terms: 6 10
- 30. 9. Common Denominator Two or more fractions with the same denominator. When denominators are not the
- 31. The most number of times any single factors appears in a set is multiplied by the
- 32. Divide the LCD by each of the other denominators, then multiply both the numerator and denominator
- 33. Reducing to LCD Exercises Reduce each set of fractions to their LCD. Let's check our answers.
- 34. Whole numbers are added together first. Then determine LCD for fractions. Reduce fractions to their LCD.
- 35. Adding Fractions and Mixed Numbers Exercises Add the following fractions and mixed numbers, reducing answers to
- 36. 14. Subtraction of Fractions Similar to adding, in that a common denominator must be found first.
- 37. 15. Subtraction of Mixed Numbers
- 38. 15. Subtraction of Mixed Numbers (con’t) Borrowing
- 39. Subtracting Fractions and Mixed Numbers Exercises Subtract the following fractions and mixed numbers, reducing answers to
- 40. 16. MULTIPLYING FRACTIONS Common denominator not required for multiplication. 1. First, multiply the numerators. 2. Then,
- 41. 17. Multiplying Fractions & Whole/Mixed Numbers Change to an improper fraction before multiplication. 1. First, the
- 42. 18. Cancellation Makes multiplying fractions easier. If numerator of one of fractions and denominator of other
- 43. Multiply the following fraction, whole & mixed numbers. Reduce to lowest terms. Multiplying Fractions and Mixed
- 45. Divide the following fraction, whole & mixed numbers. Reduce to lowest terms. Dividing Fractions,Whole/Mixed Numbers Exercises
- 46. D. DECIMAL NUMBERS System of numbers based on ten (10). Decimal fraction has a denominator of
- 47. 2. Reading and Writing Decimals
- 48. 2. Reading and Writing Decimals (con’t) Decimals are read to the right of the decimal point.
- 49. 3. Addition of Decimals Addition of decimals is same as addition of whole numbers except for
- 50. 4. Subtraction of Decimals Subtraction of decimals is same as subtraction of whole numbers except for
- 51. 5. Multiplication of Decimals Multiply the same as whole numbers. Count the number of decimal places
- 52. 6. Division of Decimals Place number to be divided (dividend) inside the division box. Place divisor
- 53. 6. Division of Decimals 137 4 1 2 3 5 7 3 . . . .
- 54. Decimal Number Practice Exercises 1. Add the following decimals. .6 + 1.3 + 2.8 = 72.8
- 55. Decimal Number Practice Exercises 3. Multiply the following decimals. 3.01 x 6.20 b. 21.3 x 1.2
- 56. Decimal Number Practice Exercises 4. Divide the following decimals. 3 0.5 a. 1.4 4 2.7 0
- 57. E. CHANGING FRACTIONS TO DECIMALS A fraction can be changed to a decimal by dividing the
- 58. F. PERCENTAGES 1. Percents Used to show how many parts of a total are taken out.
- 59. Percents Practice Exercises Write as a decimal. 35% = _________ 14% = _________ 58.5% = _________
- 60. Rules For Any Equivalent To convert a number to its decimal equivalent, multiply by 0.01 Change
- 61. 2. Percentage Refers to value of any percent of a given number. First number is called
- 62. Percents Practice Exercises Determine the rate or amount for each problem A through E for the
- 63. G. APPLYING MATH TO THE REAL WORLD 18 x 12 = 216 240 x 8 =
- 64. H. METRICS 1. Metrication Denotes process of changing from English weights and measures to the Metric
- 65. A. Advantages of Metric System Based on decimal system. No fractions or mixed numbers Easier to
- 66. b. Advantages of Metric System Example 2: Using three pieces of masking tape of the following
- 67. 2. Metric Abbreviations Drawings must contain dimensions. Words like “inches, feet, millimeters, & centimeters take too
- 68. 3. The Metric Scale Based on decimal system. Easy to read. Graduated in millimeters and centimeters.
- 69. Metric Measurement Practice Exercises Using a metric scale, measure the lines and record their length. _______
- 70. 4. Comparisons and Conversions Manufacturing is global business. Metrics are everywhere. Useful to be able to
- 71. U.S. Customary and Metric Comparisons
- 72. U.S. Customary and Metric Comparisons Capacity: One liter and one quart are approximately the same. 1
- 73. 15000 .150
- 74. 1. 1 liter = _______ ml 2. 6000 ml = _______ liters 3. 10 cm =
- 75. 5. Conversion Factors
- 76. 5. Conversion Factors Factors can be converted before or after initial calculation.
- 77. 5. Conversion Factors (con’t)
- 78. 5. Conversion Factors (con’t)
- 79. Metric System Practice Exercises 1. Which one of the following is not a metric measurement? millimeter
- 80. H. THE CALCULATOR Functions vary from one manufacturer to the next. Most have same basic functions.
- 81. 2. Calculator Functions: Cannot give correct answer if given the wrong information or command. Decimals must
- 82. Calculator Addition Exercise Use the calculator to add the following. .06783 .49160 .76841 .02134 + .87013
- 83. 0.0011 0.0115 = 175526 Step 1: Press 1, 8, and 7 keys - number 187 appears
- 84. 40.64 1155.2 = 6769.1376912 MULTIPLICATION MULIPLY 342 BY 174. Step 1: Press 3, 4, and 2
- 85. = 0.05922 = 1.22232 = 0.353 Let's check our answers.
- 86. Let's check our answers.
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