Math

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Author:
AudreyHess
ID:
173307
Filename:
Math
Updated:
2012-10-18 14:38:37
Tags:
Math
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Description:
Blakes - 6th grade math
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  1. Adding Decimals
    •   7.2
    • +9.5
    • _____
    • 16.70

    Make sure decimals are lined up
  2. Subtracting Decimals
    •   5.6
    • - 3.5
    • ____
    •   2.1

    Make sure decimals are lined up
  3. Finding GCF (Greatest Common Factor)
    12, 18

    • 1; 2; 3; 4; 6
    • 1; 2; 3; 6

    Find the largest number that will go in each number equally
  4. Find LCM ( lowest common multiple)
    5; 6; 15

    30

    the lowest number that each will go into equally
  5. Adding Unlike Fractions
    • 1/3 + 1/6
    • Find the lowest common demoninator which is 6 in this case.

    • 1/3 becomes 2/6 (6/3=2 & 2*1=2)
    • 1/6 becomes 1/6 (6/6=1 & 1*1=1)

    •   2/6
    • +1/6
    • ____
    • 3/6 and reduces to 1/2
  6. Subtracting Unlike Fractions
    • 3/4 - 1/5
    • Find the LCD (lowest common denominator) which is 20

    • 3/4 becomes 15/20 (20/4=5 & 5*3=15)
    • 1/5 becomes 4/20 (20/5=4 & 1*4=4)

    •   15/20
    • -  4/20
    • ______
    •   11/20
  7. Estimating Product (using rounding)
    •    8.7 ≈ 9
    • x 2.8 ≈ 3
    • ____________
    •            27

    • Examples of rounding:
    • 91≈90
    • 34≈30
    • 598 ≈600
    • 143≈140
    • 255≈260
    • 704≈700
    • 705≈710
  8. Multiply Decimals
    • 0.83
    • x  4
    • _____
    • 3.32  multiply as whole number and count the same number of decimal places.

    •   14.2
    • x     3
    • _____
    • 42.6

    • 0.018
    • x   2
    • _____
    • 0.036
  9. Multiply Decimals by Decimals
    4.2 x 6.7

    •    4.2
    • x 6.7
    • ____
    •    294  multiply as if whole numbers
    •  252
    • ____
    • 28.14 count same number of decimal places


    •       1.4
    • x 0.067
    • ________
    •     0268
    •   0067
    • ______
    •  0.0938
  10. Divide.  Round to the nearest tenth if necessary
    6.8 ÷ 2  line the decimal point in the answer

    •   _3.4__
    • 2  6.8
    •   - 6
    •   ____
    •        8
    •       -8
    • _______
    •         0
    • ***********************************

    7.70 ÷14

    •     _0.55
    • 14  7.70
    •      -70
    •     ____
    •         70
    •       - 70
    •     _____
    •           0
    • ***********************************
    • 6.74 ÷ 3

    •      2. 246     
    • 3   6.74
    •     -6
    • ________
    •       07
    •       -6
    • _______
    •         14
    •        -12
    • ________
    •            20 anex a zero
    •           -18
    • __________
    •              2  The remainder will never be a 0
  11. Find Each Quotient
    • 81.7 ÷ 100 = .817
    • 100 has two zeros...so move decimal over two places to the left

    • .48 ÷ 1000 = .00048
    • 1000 has three zeros..so move decimal over three places to the left 
  12. Find each Product
    • .35 x 100 = 35
    • 100 has two zeros..so move decimal over two places to the right

    • 8.5 x 1000 = 8500
    • 1000 has three zeros..so move decimal over three places to the right
  13. Write each Product using an Exponent
    6x6x6x6=64 Product as a Power

    52 = 5x5 = 25  Power as Produck of same factor - Then find Value

    1.53 = 1.5 x 1.5 x 1.5 = 3.375

    • 1.5 x 1.5 = 2.25 x 1.5 = 3.375
  14. Dividing by Decimals
    • 1.71 ÷ 0.9
    • There is one place after the decimal 0.9 so move the other number over by one place.
    •       1.9
    • 9   17.1
    • -     9
    • _______
    •        81
    • -      81
  15. What is a fraction?
    A number that names part of a whole or group

    • Numerator si the top number
    • Denominator is the bottom number
  16. Reducing Fractions
    • Two Rules:
    • 1.  You can divide top & bottome by any number as long as you use the same number for both.

    2.  You need to get both numbers as small as possible

    • 100 ÷ 100 = 1
    • 200 ÷ 100 = 2

    •  8 ÷ 8 = 1 
    • 24 ÷8 = 3
    •  4 ÷ 2 = 2
    • 10 ÷ 2 = 5
  17. Part of a number
    Find 5/7 of 14

    14 ÷ 7 = 2 then 2 x 5 = 10

    So 5/7 of 14 is 10
  18. Find the reciprocal
    2/3 = 3/2

    simply turn the fraction up side down
  19. Divide.  Write in simplest form
    (making the second fraction into a reciprocal)
    2 ÷ 1/3 =

    2/1 x 3/1 = 6/1 = 6

    **************************

    • 5 ÷ 2/7=
    • 5/1 x 7/2 = 35/2 = 17 1/2

    • **************************
    • 1/8 ÷ 1/2=
    • 1/8 x 2/1 = 2/8 or 1/4

    • *************************
    • 5 1/2 ÷ 2 =

    11/2 x 1/2 = 11/4 = 2 3/4

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