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EL CENTRO COLLEGE

EL CENTRO COLLEGE. ECC. Developmental Math 0090 REVIEW. by Diana Moore. DMAT 0090 has 20 course objectives. The objectives correspond to course description stated in the college catalog. The only prerequisite for DMAT 0090 is an adequate assessment test score. DMAT 0090, Objectives.

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EL CENTRO COLLEGE

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  1. EL CENTRO COLLEGE ECC Developmental Math 0090 REVIEW by Diana Moore

  2. DMAT 0090 has 20 course objectives. The objectives correspond to course description stated in the college catalog. The only prerequisite for DMAT 0090 is an adequate assessment test score. DMAT 0090, Objectives

  3. Demonstrate knowledge of the base ten numeration system using both words and symbols. DMAT 0090, Objective #1

  4. Demonstrate knowledge of the base ten numeration system using both words and symbols. thousandths hundredths thousands ---- and ----- hundreds ones tenths tens Consider place value 5 6 8 . 2 5 Express this number in words. This number is:five hundred sixty-eight and twenty-five hundredths

  5. Demonstrate knowledge of the base ten numeration system using both words and symbols. thousandths hundredths thousands ---- and ----- hundreds ones tenths tens Express this statement in numerical form.two thousand, forty-five and sixteen thousandths Consider place value 2 0 4 5 . 0 1 6

  6. Use the operations of addition, subtraction, multiplication and division on the set of whole numbers. DMAT 0090, Objective #2

  7. Use the operations of addition, subtraction, multiplication and division on the set of whole numbers. Find the sum of the following whole numbers: 16, 289, 7 and 1203 12 0 1515 16 289 7 + 1203 The sum is 1515

  8. Use the operations of addition, subtraction, multiplication and division on the set of whole numbers. Find the difference of the following whole numbers: 8092 and 2754 7 8 _ /1 /12 5 3 3 8 8 0 9 2 – 2 7 5 4 The difference is 5338.

  9. Use the operations of addition, subtraction, multiplication and division on the set of whole numbers. Find the product of the following whole numbers: 3072 and 419 3072 x 419 27648 30720 1228800 The product is 1287168. 1287168

  10. Use the operations of addition, subtraction, multiplication and division on the set of whole numbers. 89 28 36 28 59 28 1 divide 2 divide 3 divide Find the quotient of the following whole numbers: 3698 and 28 The quotient is 132 and the remainder is 2. 28 3698 multiply 1 x 28= 28 9 bring down Subtract 8 multiply 3 x 28= 84 8 bring down Subtract 5 multiply 2 x 28= 56 Subtract 2

  11. Use the proper order of operations to simplify numerical statements. DMAT 0090, Objective #3

  12. Use the proper order of operations to simplify numerical statements. • Order of operations • Grouping symbols • Exponents • Multiply or divide(in order from left to right) • Add or subtract(in order from left to right)

  13. Use the proper order of operations to simplify numerical statements. • Simplify the expression:82 + 7(6 – 2)2 • Grouping symbols: 82 + 7(4)2 • Exponents: 64 + 7(16) • Multiply or divide: 64 + 112 (in order from left to right) • Add or subtract: 176 (in order from left to right)

  14. Evaluate a given algebraic expression with rational numbers. DMAT 0090, Objective #4

  15. Evaluate a given algebraic expression with rational numbers. • Given x = 3, y = 7, and z = 9, • evaluate the expression: 5x – (z – y)2 • Substitute 5(3) – (9 – 7)2 • Grouping symbols: 5(3) – (2)2 • Exponents: 5(3) – 4 • Multiply or divide:15 – 4 (in order from left to right) • Add or subtract: 11 (in order from left to right) The value of the expression is 11

  16. Use both the division rules and prime factorization of whole numbers to find the least common multiple. DMAT 0090, Objective #5

  17. Use both the division rules and prime factorization of whole numbers to find the least common multiple. Division Rules Division by 2: last digit is even Division by 3: sum of digits is divisible by 3 Division by 5: last digit is 0 or 5

  18. Use both the division rules and prime factorization of whole numbers to find the least common multiple. Use the division rules and the given number to determine the following. 3549 is divisible by 3. True: 3 + 5 + 4 + 9 = 21 21 is divisible by 3 6009 is divisible by 2. False: The last digit is not even. 4580 is divisible by 5. True: The last digit is zero.

  19. Use both the division rules and prime factorization of whole numbers to find the least common multiple. 1 3 3 3 9 3 27 3 81 1 3 3 3 9 2 18 Use prime factorization to find the LCM of the following numbers:81 and 18 81 = (3)(3)(3)(3) 18 = (2)(3)(3) (2)(3)(3)(3)(3) LCM = 162

  20. Use the operations of addition, subtraction, multiplication, and division on positive fractions or mixed numbers. DMAT 0090, Objective #6

  21. Use the operations of addition, subtraction, multiplication, and division on positive fractions or mixed numbers. Add: 2 3 15 10 + 4 9 30 30 + Prime factorization15 = (3)(5) 10 = (2) (5) (2) (3) (5) LCD = 30 ( ) + ( ) 2 315 10 22 33 13 30 The sum is

  22. 9 10 15 15 6 8 + 14 1915 • Use the operations of addition, subtraction, multiplication, and division on positive fractions or mixed numbers. Add: 3 2 5 3 6 8 + 5 and 3 are prime numbers LCD = 15 ( ) + ( ) 55 33 3 2 5 3 6 8 4 15 = 15

  23. Use the operations of addition, subtraction, multiplication, and division on positive fractions or mixed numbers. Subtract: 7 3 15 10 - 14 9 . 30 30 - 15 = (3)(5) 10 = (2) (5) (2) (3)(5) LCD = 30 ( )-( ) 7 315 10 33 22 Reduce the answer = 1 6 5 . 30

  24. 3 10 15 15 - 2 8 .15 • Use the operations of addition, subtraction, multiplication, and division on positive fractions or mixed numbers. Subtract: 1 2 5 3 8 5 - 5 and 3 are prime numbers LCD = 15 ( )-( ) 55 33 1 2 5 3 8 5 7 +15 15 8 5

  25. Use the operations of addition, subtraction, multiplication, and division on positive fractions or mixed numbers. Multiply: 2 3 15 10 11 / / / / Cross cancel 2 3 . Prime factorization(3)(5) (2)(5) 1 25 Multiply Theproductis 1 .25

  26. Use the operations of addition, subtraction, multiplication, and division on positive fractions or mixed numbers. Multiply: 2 1 . 5 6 8 4 42 25Improper 5 6 fraction 1 11 / / / / / / Cross cancel (2)(3)(7) (5)(5)Prime factorization 5 (2)(3) 35 Multiply 1 = 35 Reduce

  27. Use the operations of addition, subtraction, multiplication, and division on positive fractions or mixed numbers. Divide: 2 _ 3 15 10 2 10Changeto 15 3 reciprocal 1 / / Cross cancel 2 (2)(5)Prime factorization(3)(5) 3 4 9 Multiply 4 . 9 4 The quotient is

  28. Use the operations of addition, subtraction, multiplication, and division on positive fractions or mixed numbers. Divide: 1 _ 2 . 3 5 = 1 718 3 2 10 _ 12 Improper 3 5 fraction 10 5 Changeto 3 12 reciprocal 1/ / Cross cancel (2)( 5) 5 Prime factorization 3 (2)(2)(3) 25 Multiply 18 Mixed number

  29. Change fractions to decimals and perform the operations of addition, subtraction, multiplication and division on decimal numbers. DMAT 0090, Objective #7

  30. Change fractions to decimals and perform the operations of addition, subtraction, multiplication and division on decimal numbers. Convert the following fractions to decimals. Example 2 Example 1 0.4 0.166 = 0.16 25 16 = 5 2.0 2 0 0 = 6 1.000 6 40 36 4 _ = 0.16 and 1 6 2 5 = 0.4

  31. Change fractions to decimals and perform the operations of addition, subtraction, multiplication and division on decimal numbers. Find the sum of the following decimal numbers: 11.56, 28.9, 27 and 1.203 110000 68.663 11.560 28.900 27.000 + 1.203 __0 _00 000 optional: add zeros Line up the decimals points The sum is 68.663

  32. Change fractions to decimals and perform the operations of addition, subtraction, multiplication and division on decimal numbers. Find the difference of the following decimals numbers: 63 and 14.28 required: add zeros Line up the decimals points 512 _ 9 0/ / 1/1_ 4 8 .7 2 6 3 . 0 0 - 1 4 .2 8 0 0 The difference Is 48.72

  33. Change fractions to decimals and perform the operations of addition, subtraction, multiplication and division on decimal numbers. Find the product of the following decimal numbers: 30.72 and 41.9 30.72 x 41.9 27 648 30 720 1228 800 The product is 1287.168. 1287.168

  34. 190 25 119 25 150 25 36 25 4 divide 6 divide 7 divide 1 divide • Change fractions to decimals and perform the operations of addition, subtraction, multiplication and division on decimal numbers. Find the quotient of the following decimal numbers: 3.69 and 2.5 2 The quotient is 1.476 . place the decimal point 0 add zero 0 bring down 2.5 3.6 9 0 add zero 0 bring down multiply 1 x 25= 2 5 9 bring down Subtract 11 multiply 4 x 25= 10 0 Subtract 1 9 multiply 7 x 25= 1 7 5 Subtract 1 5

  35. Solve applied problems using a variety of methods, including proportions and first degree equations. DMAT 0090, Objective #8

  36. Solve applied problems using a variety of methods, including proportions and first degree equations. Steps for solving application problems Identify Setup Solve Check Explain

  37. Solve applied problems using a variety of methods, including proportions and first degree equations. A car traveled 160 miles in 3 hours. If the car continues at the same speed, how far will he travel in 5 hours? Identify160 miles = 53 1/3 mph 3 hours Setup: (53 1/3 mph)(5 hrs) Solve160.5 = 266 2/3 3 1 Explain:The car will travel 266 2/3 miles.

  38. Solve applied problems using a variety of methods, including proportions and first degree equations. A car traveled 160 miles in 3 hours. If the car continues at the same speed, how far will he travel in 5 hours? Identify160 miles = x milesSetup 3 hours 5 hours Solve 3(x) = 160(5) 3x = 800 x = 266 2/3 Explain:The car will travel 266 2/3 miles.

  39. Solve applied problems using a variety of methods, including proportions and first degree equations. How many 2/3 cup jars can be filled from an 8 cup pitcher? Identify 1 jar = 2/3 cup total = 8 cup x = number of jars Setup2 3 x = 8 Explain:You can fill 12 jars. ( ) () Solve323 2 3 2 x = 8 x = 12

  40. Solve applied problems using a variety of methods, including proportions and first degree equations. The sum of two number is 19. One number is 5 more than the other. Identify The two numbers are x and x + 5 Setup 1st number + 2nd number = sum Solve x + x + 5 = 19 2x + 5 = 19 2x = 14 x = 7 second number x+5 = 12 Explain:The two numbers are 7 and 12.

  41. Use percents to describe common fractions and decimals, to make comparisons between numbers and to solve for the rate, base, and amount in applied problems. DMAT 0090, Objective #9

  42. Use percents to describe common fractions and decimals, to make comparisons between numbers and to solve for the rate, base, and amount in applied problems. 35 35 (100%) Convert the following to percents Example 1: Example 2: 0.175 0.175(100%) 17.5% 60%

  43. Use percents to describe common fractions and decimals, to make comparisons between numbers and to solve for the rate, base, and amount in applied problems. 35 35 (100%) Place <, > or = in the space between the numbers 0.601 0.601(100%) < 60% 60.1%

  44. Use percents to describe common fractions and decimals, to make comparisons between numbers and to solve for the rate, base, and amount in applied problems. 1325 R100 rate amount 100 base = What percent of 25 is 13? = 25R = 13(100) Cross Multiply 25R = 1300 Solve R = 52 The rate is 52%

  45. Use percents to describe common fractions and decimals, to make comparisons between numbers and to solve for the rate, base, and amount in applied problems. 27B 30100 rate amount 100 base = 30% of what number is 27? = 30B = 27(100) Cross Multiply 30B = 2700 Solve B = 90 The base is 90.

  46. Use percents to describe common fractions and decimals, to make comparisons between numbers and to solve for the rate, base, and amount in applied problems. A150 40100 rate amount 100 base = What number is 40% of 150? = 100A = 40(150) Cross Multiply 100A = 6000 Solve A = 60 The amount is 60.

  47. Interpret a chart or graph. DMAT 0090, Objective #10

  48. Interpret a chart or graph. 70 60 50 40 30 20 10 0 J F M A M J J In which month were the mostcars sold? January, 60 cars were sold How many more cars were sold in April than May? Approx. 58 – 45 = 13 cars How many cars were sold in June and July? Approx. 15 + 20 = 35 cars How many cars were sold in March? Approx. 35 cars The bar graph above illustratesthe number of cars sold in the first seven months of 2001.

  49. Use the formulas for perimeter and area of common geometric figures including, triangles, quadrilaterals, and circles. DMAT 0090, Objective #11

  50. Use the formulas for perimeter and area of common geometric figures including, triangles, quadrilaterals, and circles. Area of Polygons: Rectangle: A = LW Parallelogram: A = bh Triangle: A = 1 bh 2 Trapezoid: A = 1 h(a + b) 2

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