Math 45 Test 1

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Author:
regishouse
ID:
128192
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Math 45 Test 1
Updated:
2012-01-23 04:20:43
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Math 45
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Math 45 test 1
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  1. Least Common Factor:
    The smallest number that can be divided evenly by each of a group of specified numbers

    i.e. Find the LCM of 75, 125
    • 75: 75, 150, 225, 300, 375
    • 125: 125,250,375
  2. Equivilent Fractions:
    The Least Common Denominator is the least common multiple of all denominators

    i.e. write and as equivilent fractions with the least common denominator
    • Find the LCM of 10,12
    • LCM = 60

    • = (multiply 1 by 6, the number needed to get 10 to 60)
    • = ( multiply 1 by 5)
  3. Reducing Fractions:
    Reduce by finding multiples of both numbers, reduce to the least common factors

    i.e
    • =
    • (divide num & denom by 8)
  4. Place Value/ Decimal Numbers:

    i.e
    Find the place value of 1.694
    Round 535.123 to the nearest tenth
    • 1.694 = thousandths place
    • 535.123 = 535.1
  5. Fractions to Decimals:
    divide the numerator by the denominator
    • 27÷8
    • 3.375
  6. Decimal to Fraction:
    use place value

    i.e convert 0.45 to a fraction
    • convert 0.45 to a fraction
    • (divide by 5)
  7. Percents:
    Per hundreds (divide by 100)

    Decimals to Percents: move decimal place 2 places to the right

    Percents to Decimals: move decimal place 2 places to the left
    • 14% = 0.14
    • 6.57% = .0657

    • 0.332 = 33.2%
    • 6 = 600%
  8. Natural Numbers:
    Set of natural / counting numbers
    1,2,3,4,5,6,7,8,9....
  9. Real Numbers:
    sets of real numbers/ all numbers
    1, -1, , 0.5
  10. Whole Numbers:
    All natural numbers and zero
    0,1,2,3,4,5,6,7,8,9....
  11. Even Numbers:
    all numbers divisable by 2 (feminine)
    2,4,6,8,10,12...
  12. Odd Numbers:
    remainder of 1 when divided by 2 (masuline)
    1,3,5,7,9,11....
  13. Subset:
    If all members of one set are also members of a second set, the first set is a subset of the second

    i.e B{1,2} A{1,2,3}
    B{1,2} A{1,2,3} = BA

    the empty set is a subest of A = {} A or A
  14. Subsets of Real Numbers:
    • Whole Numbers {0,1,2,3,4,5,6}
    • Natural Numbers {1,2,3,4,5,6}
    • Real Numbers { -1, 0.5, , [-9], 0.5555}
  15. Intergers:
    All whole numbers and the opposite of every whole number (not including fractions or decimals)
    {-4,-3,-2,-1,0,1,2,3,4}
  16. Rational vs Irrational Numbers:
    Rational Numbers: fractions in which numerator & denominator are intergers

    Irrational Numbers: cannot be repeated as fractions of intergers (π, √2)
  17. Multiplying with Real Numbers
    • (+) (+) = (+)
    • (+) (-) = (-)
    • (-) (-) = (+)
  18. Dividing with Real Numbers
    • (+) / (+) = (+)
    • (-) / (+) = (-)
    • (+) / (-) = (-)
    • (-) / (-) = (+)
    • (#) / (0) = (undefined)
  19. Additive & Multiplicative Inverses
    • additive inverses = opposites
    • multiplicative inverses = reciprocals
  20. Adding & Subtracting Fractions:
    must have common denominator


    (divide both numbers by 7, find LCM of 98 & 28)
  21. Multiplying & Dividing Fractions:
    to divide fractions, mulitply by the reciprical


  22. Adding & Subtracting Decimal Points:
    line up decimals
    • -170.826 + 100.7 + 3.02
    • -170.826 + 103.72
    • -67.106
  23. Identity Property of Addition:
    0 + a = a
  24. Identity Property of Multiplication:

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