Axl's Percent Post

PERCENT MEANS-  is an equivalent fraction out of 100, per(out of) cent(100)

Here how we find the percent:
Example:

There are 40 apples, the 100% of apples in 40/40
10%
50%
25%
1%

10 % means- 10 out of 100- divide 100 percent to 10 which gives you 10 and divide the 40 apples to 10 which gives you the answer of 4. (4 out of 40 or 10 out of 100)


50% means- half, part/whole, 20 out of 40 or 50 out of 100 - dived the 100 percent to 2 which gives you 50 and you also need to divide 40 apples  to 2 which gives you 20. (20 out of 40 or 50 out of 100)

25% means- quarter out of 100- divide 100 percent to 4 gives you 25 and divide 40 apples to 4 gives you 10. (10 out of 40 or 25 out of 100)

1% means- 1 out of 100- divide 100 percent to 1 gives you the answer of 1 and divide 40 apples gives you the answer of 0.4. (0.4 out of 40 or 1 out of 100)

REPRESENTING PERCENTS:

A.180%                                          

B. 0.6%

C. 12 3/8

CONVERTING PERCENTS:

Fraction to Decimal and Percent:

171/300: 171/300= 0.57/1 x 100= 57/100= 57%

Decimal to Percent and Fraction:

5.98: 5.98/1 x 100= 598/100= 598%= 598/100

Percent to Decimal and Fraction:

750%: 750%/100= 7.5/1= 7 and 5/10= 7 and 1/2

PERCENT OF A NUMBER:

20% of 60
20/100=0.2
0.2 x 60=12
Calculation:
20  x 60=1200
1200/100=12

250% of 400
25/100=2.5
2.5 x 100=1000
Calculation:
250 x 400=1000000
1000000/100=1000


0.1% of 40
0.1/100=0.001
0.001 x 40=0.004
Calculation:
o.1 x 40=4
4/100=0.004

COMBINING PERCENTS:

Question 7 page 149:

A herd of caribou was moved to a new location. The population increased by 10% first year and then increased by 20% second year.

First year:
caribou= 10%
10% + 100= 110
110/10= 1.1
1.1 x 100=  110

Second year:
caribou= 20%
20% + 100= 120
120/100= 1.2
1.2 x 100= 132

explain why there are not 30 % increase in population over  the two years?

30% was not used because 100% had change. in the first year the total of caribou was 10%, but in the second year it increased 20%, so we need to make another solution. but the total wasn't 100 anymore it change to 110.


SHOW YOU KNOW

Store A: Price 100

100 + 25%= 125
25/100= 0.25
0.25 x 125= 31.25

Store B; Price 100

100 + 50%= 150
50/100= 0.5
0.5 x 150= 75

Store A is best to buy than Store B

Andrei's Percent

Percent is another way of writing a ratio when the second term of the ratio is 100.  Percent comes from the Latin words pars per centum meaning parts per hundred. We use % to express percent.

Example:
18/100 = 18%

25/100 = 25%

 If the denominator is not 100,  multiply the numerator and the denominator with the same number which will make the denominator equal to 100.

Example:

4/5 =4/5 x 20/20 = 80/100  or 80%

1/2 = 1/2 x 50/50 = 50/100 or 50%   means half of whole

1/10 = 1/10 x 10/10 = 10/100 or 10%  means 1 part of a whole

1/4 = 1/4 x 25/25 = 25/ 100 or 25%  means quarter of a whole

3. Converting Percent to Decimal to Fraction

Fraction to  Decimal  to  Percent 3/40         =     0.075   =    7.5% to decimal divide 3/40 = .075 to percent move the decimal point 2 places to the right and add the percent % sign 0.075 = 7.5% Decimal  to Percent to  Fraction 0.0064     =   0.64%      =  0.0064/10000  or       4/625                                                               to percent move the decimal point two places to the right and add the percent sign % 0.0064 = 0.64% to fraction multiply both the top and bottom by 10 for every number after the decimal point 0.0064/1  x 10 000 /10 000 =  64/ 10 000  or 4/625 Percent to Decimal  to  Fraction 75%   =       0.75        =     75/100 or 3/4 to decimal move the decimal point 2 places to the left and remove the % sign 75% = 0.75 to fraction 75/100 = 3/4 4. Finding Percent of  a number     solve:                                                                    a. 20% of 60       Mental Math                                                                   Calculator       100% of 60 is 60                                                          convert 20% to decimal       10% of 60 is 6                                                               20%  is 0.20        20% is 10% + 10%                                                      multiply 0.20 by 60        10% + 10% = 6 + 6                                                      0.20 x 60 = 12         20% = 12    b.  0.1%          Mental Math                                                                Calculator        100% of 40 is  40                                                        convert 0.1% to decimal        10% of 40 is  4                                                             0.1% is .001        1% of 40 is  0.4                                                            multiply .001 by 40         0.1% of 40 is  0 .04                                                     0.001 x 40 = 0.04         0.1 % of 40  = 0 .04    c.  250% of 400        Mental Math                                                                 Calculator        100% of 400  is 400                                                    convert 250% to decimal        50% of 400 is 200 ( 400/2)                                         250%  is 2.50        250% is 100% + 100% + 50%                                   multiply 2.50 by 400        100% + 100% + 50% =  400 + 400 + 200                2.50 x 400 = 1000        250% of 400  = 1000 5. Combining Percents    * Discount is  a deduction from the usual cost of something.    * Sale Price is the price of a good service that is being offered at a discount.    * Total price with taxes is the total amount and tax charges for all items being purchased. Example:     * A herd of caribou was moved to a new location.  The population increased by 10% the first       year and then increased by 20% the second year.       a.  Find the population after the second year.       b.  Explain why there was not 30% increase in population over  two years.     Solution:          a.  Population of caribou is 100            increase in first year    is  10%                  10%  of 100   or  0.10  x 100 = 10            population of caribou after one year is 100 + 10 = 110           New population of caribou ( after one year)  is 110            increase  in second year is  20%                    20% of 110 or  0.20  x  110 = 22            population of caribou after second year is 110 + 22 = 132                             b.  There was not a 30% increase in population over two years because after a year, the              population increased by 10% , it became 110 and this new population was increased               by 20% which gave a total population of 132 caribou after the second year.              If population was increased by 30% over two years,  the original population 100 will be               increased by 30%  which will result to 130 population. *Show you know*      What is the final price at each store.  Which is the better buy?   Explain your thinking.       Store A:  50% one day only       Store B:  25% off one day, followed by 25% off the reduced price the second day.      Example:      Store A :  50% of $200 (one day only)                       0.50 x 200 = 100     Find the discount price:                       200 - 100 = 100     The discount price is $100.     Store B:  25% discount of $200 on the first day                     0.25 x 200 = 50      Find the discount price                      $200 - 50 = 150      The discount price after the first day is $150.            The discount  on the sale price the second day is  25% of $150.                    0.25 x 150 = 37.5       Find the discount price:                    $150 - 37.5 = $112.50        The final discount price after the second day is $ 112.50.      *** Store A gives the better buy than store B.  The 25% discount followed by another 25%            is not the same as 50% discount from the original price because the discount on the             second day is only 25% of  $150 and not 25% of $200.       The original price is $200.  The selling price after two 25% discount is $112.50                    $200 - $112.50 = $87.50                    $87.50 ÷ 200 = 0.4375  or  0.44  which is 44%         ***  The total discount offered by store B is 44% which is less than 50% discount offered             by Store A, therefore Store A gives the better buy.            Video that will help us understand how to find a percent of a number.