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Wednesday, December 18, 2013

Jacob's Percent Post

Percent means...

  • A percent is an equivalent fraction out of 100

  • 100%- all, whole, everything, 40/40, 100/100
  • 10%- 10/100
  • 50%- half, part/whole
  • 25%- quarter, 25/100
  • 1%- out of 100, 1/100
  • % = /100
  • 205/100 is an improper fraction or top heavy
  • The reason why 100 is used is because it is an easy number to work with
  • In french, the word percent is split into two words, "per" being "out of" and "cent" being "100"

Representing Percents on a Grid:

  • A) 180%


















  • B) 0.6%

















  • C) 12 3/8


















Converting Percents:

  • A ratio statement out of 1
          Fraction - Decimal - Percent
  • 3/4: 3/4= 0.075/1(0.075/1 x 100) = 7.5/100 or 7.5%
          Decimal - Percent - Fraction
  • 0.0064/1 = 0.64/100 or 64%     0.0064/10 000 = 64/10000 (Use place holder - Simplify)
                                                                                       32//5000 -> 16/2500 -> 8/1250 -> 4/625
          Percents - Decimal - Fraction
  • 750%/100(/100) = 7.5/1     7 5/10 or 7 1/2

  • PERCENT OF A NUMBER:
  • Percent of a number is the next part of this exercise. Show how you could solve the following using mental math and calculator.
20% of 60
20 ÷ 100 = 0.2
0.2 x 60 = 12
20% of 60 = 12

0.1% of 40
0.1 ÷ 100 = 0.001
0.001 x 40 = 0.04
0.1% of 60 =  0.04

250% of 400
250 ÷ 100 = 2.5
2.5 x 400 = 1000
250% of 400 = 1000

  • COMBINING PERCENTS:
  • Combining Percents is the last part of this post. You need to explain Discount, Sale Price and Total Price with taxes. I also need you to explain what is a better deal 50% off or 25% off of an already reduced price of 25%. This can be done using the following questions,

  • How to find the SALE PRICE: Take the regular price and subtract it by the discount.
-Sale Price: What you pay
  • How to find the DISCOUNT: Take the percent of the discount and divide it by 100 and then multiply it by the regular price.
  • Total Price Including Taxes: If the tax is 13%, you need to add 13% to the sale price which is 100%.
           13+100=113(Total price+Taxes)                      
           113÷100=1.13
           1.3 x 147.99 = 192.387 or 192.39
Add 13 and 100 together which is the tax added to the total price. Then divide 113 by 100 and multiply by the total price(147.99) 

-Discount: What you save

 25% off of an already reduced price of 25% and 50% off are both good deals because 25% + 25% is the equivalent of 50%

e.g. 25 ÷ 100 = 0.25
     0.25 x 250 = 62.5
                                   = 125
     25 ÷ 100 = 0.25        250 - 125 = 125
     0.25 x 250 = 62.5

    50 ÷ 100 = 0.50
    0.50 x 250 = 125    = 125
                                       250 - 125 = 125    



    















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