Chey's Percent Post

Percent means: an equivalent fraction out of 100. In French percent means "out of 100".

Here is how we find



0.6%

0.6% blow-up

180%

12 3/4 (0.75)%

12 3/4 (0.75)% blow up

2.)

       F          D          P

1.) 3/40 = 0.075 = 7.5%

       D          P          F

2.) 5.98 = 598% = 5  98/100

       P           D         F

3.) 0.3% = 0.003 = 3/1000




3.) D-P    To convert a decimal to a percent you multiply the number by 100
Ex: 0.024 x 100= 24%

P-D    To convert a percent to a decimal you divide the number by 100
Ex: 26%  ÷ 100 = 0.26

D-F    To convert a decimal to a fraction you take the decimal, say it, and write in fraction form.
Ex: 0.024 (say it = twenty four thousandths/ 24 out of 1000) 24/1000

F-D    To convert a fraction to a decimal you take the fraction, say it, and write in decimal form.
Ex: 7/10 (say it = seven out of ten/ seven tenths) 0.7

P-F     To convert a percent to a fraction you write the percent as a fraction with 100 as the denomenator,
and then put it lowest terms or if it is "top heavy" you make it a mixed fraction instead of an improper fraction
Ex: 24% = 24/100   24/100 = 6/25      Ex: 180% = 180/100    180/100 = 1 8/10

F-P    To convert a fraction to percent you divide the numerator by the denomenator, then you take the answer and multiply it by 100.

4.)       MENTAL MATH                                                        CALCULATOR 
                  %    |     #                                                                    60/5 = 12
                 100  |     60
         /5      20   |     12     /5


                %  |     #    
              100 |    40     
/1000      0.1 |    0.04     /1000                                                  40/1000 = 0.04


                        



         %    |     #                        %    |      #     
        100  | 400                       100  |   400
/2        50 | 200  /2       *2       200  |   800       *2                                 400/2 = 200

50% + 200% = 250%            200 + 800 = 1000                                  400 *2 = 800
                                250%=1000                                                        200 + 100 = 1000






5.) Discount is the money you save. Sale Price is what you pay after you subtract the discount off of the original price. Total Price With Taxes is the original price with a percentage called taxes added on. In percents it is more than 100%. Ex A pair of boots is 59.99 and the tax is 13%, you are paying 113% of the original price of the boots. To find the Total Price With Taxes you find the percentage being used for taxes and then you add that too the original price.

50% off is a better deal than 25% off an already reduced price. This is because adding the 25% off's together does not make 50% off because it is 25% off the original price and then 25% off the reduced price, which is new 100%. Ex. A shirt at Walmart is $10.00 and is on sale for 50% off. A shirt at Old Navy is $10.00 and is on sale for 25% off. The next day the shirts are still on sale except the shirt from Old Navy is now an additional 25% off. Which is the better buy?

10/2 = 5 $10.00-$5.00 = $5.00 Walmart Sale Price = $5.00
($5 is the Discount and when you subtract it from the original price ($10) you get the sale price, which is $5)
10/4 = 2.50 $10.00-$2.50 = $7.50       7.50/4 = 1.875 ($1.88) 7.50-1.88 = $5.62
Old Navy Sale Price = $5.62
($4.38 is the Discount and when you subtract from the original price ($10) you get the sale price, which is $5.62) Walmart is the better buy.

Lizley's Percent Post

Percent means
-percent means "out of a hundred"

*This is how to find the percent of a fraction:
 9   X 10  =  90
10  X 10  = 100
= 90%

But why 100?
-100 is used because its easy to use/its a friendly number.

*Meanings

100% - means all, everything, 100 , 100%
                                              100
                                    
50% - means half,  50  , 1 , 50%
                            100   2

25% - means half 50, 25 %, 25 , 100
                                            100    4

10% - means 100 ,  10 , 10%
                      10    100

1% - means 1 out of a 100,  1   , 100 , 1%
                                          100     1

But how about 205% ?
-it is improper/top heavy
-it means 2 holes
- 205
  100

Representing Percent

 180%

100

80

0.6%

                                               

12 3

     8

                                 

How to convert from Decimals to Percents to Fraction

1) 26%

-To convert it to become a decimal, you need to divide 26 to 100.

26 ÷ 100 = 0.26

to be simpler, just move the decimal point two spaces to the left.

26. → 0.26

-To convert it to fraction, you just make it 26/100 and simplify it to 13/50

2) 7/10

-To convert it to percent, you just need to divide the numerator to the denominator. Then move the decimal point two spaces to the right.

7 ÷ 10 = 0.7

0.7 → 7. = 7%

-To convert it to decimal is just dividing the numerator to the denominator.

7 ÷ 10 = 0.7

3) 0.024

-To convert decimal to percent, you just need to move the decimal point 2 spaces to the right.

0.024 → 2.4%

-To convert decimal to fraction, you need to convert it to decimal, and count the decimal places. The number before the decimal point will be the whole number.

2.4 → 2 4/10 = 2 2/5

How to get the percent of a number

      
 20% of 60 :

Mental
       %  | #                                                                                                      
÷5 100 | 60  ÷5                                  
       20 |12

Calculator
20 ÷ 100 = 0.20 = 0.2
0.2 x 60 = 12

20% of 60 is 12

                           
0.1% of 40:

Mental
               % | # 
÷10      100 | 40    ÷ 10
÷100      10 | 4      ÷ 100
             0.1 | 0.04

Calculator
 0.1÷100=0.001
0.001 x 40 = 0.04

0.1% of 40 is 0.04

250% of 100

Mental

                 %| #
             100 | 100

÷ 100       1  | 1         ÷100

x 250     250|250       x250

Calculator

100 ÷ 100 = 1

1 x 250 = 250

 

Combining Percents

Discount  - What you save

Sale Price - What you pay

 _____________________

Problem:

 A herd of 100 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.

1. You have to find the 10% of 100 to know the population that increased the 1st year.

 

 

2. Then, add it to 100.

 

100 + 10 = 110

 

3. Find out the 20% of 110, and add it to 110, because 110 is our new total.

 

110 ÷ 100 = 1.1

1.1 x 20 = 22

110 + 22 = 132

 

 



b) Explain why there was not a 30% increase in population over the two years.

If the percent had changed, the final answer would change too.

Robson's Percent Post

*Percent means out of 100, it is an equivalent fraction that is out of 100.

*Here is how we find-
  10 out of a hundred-10/100-All you have to do is divide 100 by 10.
  Half Of 100 50/100-You divide 100 by 2 because 50 is half of 100
  Quarter of 100-25/100-Divide 100 by 4 because 4 25's is 100 so you do the opposite
  One out of a hundred-1/100-You divide 100 by 100 because if you divide any number by itself you will get 1.

*Percent is Latin for percentum or per 100. We can also use French, Per=out of and cent=100.
*Why percents revolve around 100 is a very hot topic, my genius has helped in figuring it out. We use 100 because it is a friendly number and is and easy number to use better than using the number 69.
*You can also go above the 100/100 barrier by doing something like 205/100. This form of fraction is called top heavy or an improper fraction. For every 100 in 205 it will equal to 1 whole making this 2 wholes and 5 hundredths.
*You may see 100 in % because there are zeros on both sides of the fraction line and the fraction line somehow represents 1.
*We can use simple things for fractions we can use apples.
40 Apples  100 Percentage               What you do on one side you have to do to the other.    
40/4=100     100/4=25
40/10=4       100/10=10
40/100=0.4  100/100=1
40/1=40       100/1=100

2. *180%-

   *12 3/4% - 

  *0.7%- 

 

Converting Fractions,Percents and Decimals

Converting fractions to percent and decimals


5/40
To turn this fraction into a decimal you have to divide the numerator by the denominator.
ex. 5÷40=0.125
To turn this decimal into a percent you have to multiply the decimal by 100.
ex.0.125 x 100 = 1.25
Now you must be confused by my amazing math. This is how I did it.
0.125 over 1. 0.125 x 100 now what you do to the numerator you do with the denominator so
0.125 x 100 now since 0.125/1 you have to multiply the 1 by 100 so 100.
now its 12.5 over 100 12.5/100.

Converting decimals to fractions and percents

0.070
To turn this decimal into a fraction you have to figure out which place value this number i in.
ex. 0.070/1000
Now you have to multiply the numerator by the digits of the numerator.
ex. 0.070 x 1000= 70
This forces the decimal into a "regular number".Now you have to divide this number by 2 and do the same for the denominator.
ex. 70÷2=35/1000÷2=500
You cant go any further because you cant divide 35 by 2 and get an even number.
To turn fractions into percents you have to divide your numerator by your denominator.
ex. 35÷500=0.07 
Now you have to multiply this number by 100.
ex. 0.07 x 100 = 7%

Converting percents to decimals and fractions

40%
To turn this percent into a decimal you have to divide your percent by 100
ex. 40÷100= 0.4
Now to turn this decimal into a fraction.
You have to multiply the decimal by 100.
ex. 0.4 x 100 =40/ 100
40/100

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 a calculator

*20% of 60 - 20% ÷ 100 = 0.2 x 60 =12

*0.1% of 40 - 0.1% ÷ 100 x 40 = 0.001 =0.04

*250% of 400 - 250% ÷ 100 = 2.5 x 400 =1,000

Combining Percent

*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 better deal 50% off or 25% off of an already reduced price of 25% This can be done using the following Questions,

No 25% and 25% combined are not the same as 50%. This is not the same because if you calculate 25 divided by 100 then multiply by the price. ex. 25 ÷ 100 x 150 =$37.50 - 150 = 112.5

Now it's a reduced price you have to drop the price by 25 again 25 ÷ 100 x 112.5 = $29.25 - $112.50=  $83.25

50% of 150 - 50% ÷ 100 x 150 =$75.00

$75.00 < $83.25

$75.00 is a better deal because it costs less than $83.25

*0.6%

                             








*12.3/8

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    



    

Allison's Percent Post

PERCENTS

What does percent mean?
Per(out of) cent(one hundred)

Why 100%
Its 100% because its just right it's not too high and not too low of a number. It's a number that can be easily seen. The percent sign
( % )
 represents 100 the line equals the 1 and the 2 circle are the 0's.

There are improper fractions or top heavy. What it means is that the numerator (part) is greater than the denominator (whole)

205/100 represents
205%, 205 out of 100, and 2 wholes.

What does....
10% means? 10% means 10/100, 1/10 (equivalent fraction)
50% means? 50% means half, part/whole, 20/40 or 50/100
25% means? 25/100 1/4 (one quarter)
1% means?  1/100 1 out of 100
100% means? all, whole, everything, 40/40 or 100/100


Representing Percent's: 180%, 0.6%, 12 3/8%

a) 180%

b) 0.6%

c) 12 3/8%
        

Convert each decimal to a percent and a fraction

Convert each fraction to a decimal and a percent

Convert each percent to a decimal and a fraction























Percent of a number
1) 20% of 60

  Mental Math:

            %    |      #                   Calculation:

          100   | 60                      20/100= 0.2

/10     10     | 6                         0.2x60=12

x2       20    | 12

          

2) 0.1% of 40   

 Mental Math                        Calculation:

             %   |    #                   0.1/100= 0.01

             100| 40                     0.01x40= 0.4
 /100      1   |  0.4             
/10       0.1  |  0.4     


3)   250% of 400
       Mental Math

                    #      |   %                            Calculation:
                    400  |  100                           250 ÷100= 2.5
            x2   800   |   200   x2                   2.5x400=1000 
           ÷4    200   |   50     ÷4
                   1000 |  250
            

Combining percent's



When you are working with money you're expecting to have discounts, sale prices, and total price with taxes. 

Discount-what you save
Sale price- what you pay

When you are trying to find the sale price you take the regular price and subtract it from the discount to get the sale price.

                                     Regular price- Discount= Sale price

When you are trying to find the total price including taxes you add up the items or item you bought to find the total price. Now you have to add the tax to the total price. If the tax was 13% you would add 13% to the total price which is the all, the whole, the 100%
100+13= 113
You then divide 113 (the total price including tax) by 100.
113 ÷100=1.13
 The 1 represents the total price and the 13 represents the tax.            Now you multiply 1.13 by the total price (e.g. 147.25)
1.13x147.25= 166.3925 or 166.39
Total price including tax= $166.39


4.4 Page 149
Question 7:
A herd of caribou moved to a new location. The population increased by 10% for the first year and then was increased by 20% in the second year.

a) Find the population after the second year.
b) Explain why there was not a 30% increase of the over the two years.



a)  

 100+10= 110     110 ÷100=1.1       1.1x100= 110

100+20=120      120÷100=1.2       1.2x110= 132
After the second year there was 132 caribous.    


b) There was not a 30% increase of the two years because the 100% changed when the second year increased it by 20%. In the first year the population of the caribou was 100, now that the second year came by instead of the population being 100 anymore it increased which is 110% (the new 100%).


Show you know

What is the final sale price at each store? Which is a better buy?
Explain your thinking.
Store A: 50% off one day only.
Store B: 25% of one day followed by 25% off th e reduced price the second day.

Store A: 50% off a $300.00 sofa.
Since the discount is 50% (what you save)off the $300.00 sofa you can divide it by 2 since 50% is half of the regular price.
300÷2= 150 or        50÷100=0.5 0.5x300=150
The total price is $150.00













Store B
First day: 25% off a $300.00 sofa.
So now you are trying to find out what 25% of $300.00 is (what you are saving)
25÷100= 0.25     0.25x300= 75
25% off 300.00 is $75.00(what you are saving)

300-75=$225.00 (what you are paying) or
75÷100=0.75    0.75x300= $225.00 (the new 100%)














Second day
 25% off a $225.00 sofa.
Now you have to find what you are saving 25% off of $225.00

25÷100= 0.25    0.25x225.00= $56.25
You are saving $56.25
Now you have to find what you actually have to to pay. Since the discount is 25% off the sale price will be 75% of the regular price(it's 75% because 25+75= 100%) which is $225.00.
75÷100= 0.75   0.75x225.00=168.75
You are now paying $168.75 for the sofa.

















Conclusion
For the conclusion, store a has a better price than store b because in store a you only pay $150.00 and you are saving $150.00 also. In store b you are paying $168.75 off of the new price and you are only saving $56.25. So if you buy from store a you are saving $18.75 of store b.yay. Overall Store A is a better buy than Store B.

Theresa's Percent Post

What is a Percent?

Percent is a fraction out of 100.

Here's how we find an equivalent fraction out of 100.

9/10 = 90/100

9 x 10 = 90

10 x 10 = 100

Why 100%? 100 is used because it's just right. It's also a number that's easily seen.

Percent was made by the French. Per means "out of" in french and Cent means "100". Together they make "out of 100". The percent sign %, the line in the middle represents 1 and the two little circles symbolizes the two zeros from 100.

Improper or Top Heavy fractions are fractions that have a greater numerator than the denominator. 

205/100 = 2 wholes, 205 out of 100, 205%

5/4 = 5 out 4, 125 out of 100, 125%

100% means all, whole, everything, 100/100, 6/6.

10% means 10/100, 1/10.

50% means half, part/whole, 50/100 or 20/40.

25% means 25/100, 1/4, one quarter.

1% means 1 out of 100, 1/100.

Representing Percents

Converting Decimals to Percents to Fractions

1) 26%

Decimal: 26% ÷ 100 = 0.26

Fraction: 0.26 / 1

0.26 x 100 / 100

26 / 100

2) 7 / 10

Decimal: 7 ÷ 10 = 0.7

Percent: 0.7 x 100 = 70%

3) 0.024

Percent: 0.024 x 100 = 2.4%

Fraction: 0.024 / 1

0.024 x 100 / 100

2.4 / 100

Percent of a Number

Mental Math                                                                    Calculator

                                                1) 20% of 60

             %  |  #                                                                  20 ÷ 100 = 0.20

           100 |  60                                                               0.20 x 60 = 12

÷5         20 |  12     ÷5
        20% of 60 = 12                                                       20% of 60 = 12

                                                 2) 0.1% of 40

              % | #                                                                  0.1 ÷ 100 = 0.001
           100 | 40                                                                0.001 x 40 = 0.04

÷100    10 |  4     ÷100

÷10     0.1 |  0.4     ÷10                                                   0.1% of 40 = 0.04

      0.1% of 40 = 0.4

                                                 3) 250% out of 400

            % | #                                                                    250 ÷ 100 = 2.50
          100 | 400                                                              2.5 x 400 = 1000
x 2     200 | 800    x 2
÷4        50 | 200   ÷4                                                      250% of 400 = 1000
          250 | 1000
 250% of 400 = 1000

Combining Percents

When working with money, you will often see discounts, sale prices or regular prices.

Discount - what you save

Sale Price - what you pay

To find the sale price,       Regular Price - Discount = Sale Price

To find the total price with taxes,

1) Calculate the total price of item(s) that were bought.

4.4 Pg. 149
7. A herd of 100 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 a 30% increase in population over the two years.

a) The population of the caribou herd after the second year was 132.

When finding the increase of the caribou, you add 100 + 10 because "increasing" means having more than you had before. So that means your answer will be more than what you started with.

The next thing you need to do is to take the percents from the question and convert them to a decimal. You do this by dividing the percent by 100.

Lastly, you have to multiply the decimal by the total amount of caribous.

100 + 10 = 110        110 ÷ 100 = 1.10        1.10 x 100 = 110

100 + 20 = 120        120 ÷ 100 = 1.20        1.20 x 110 = 132

b) There was not a 30% increase in population over the two years because the 100% changed when the second year increased by 20%. In the beginning, the population of the caribou was 100 but after the first year it became 110. 110 became the new 100%.

4.4 Pg.148 Show You Know

What is the final sale price at each store? Which is a better buy? Explain your thinking.

Store A: 50% off one day only
Store B: 25% off one day followed by 25% off the reduced price the second day

Example: you want to buy a $60 pair of boots.

Store A

For one day, there is a 50% off discount of $60.
The discount is what you save and the sale price is what you pay. Since it is just 50%, we can just half the number.

60 ÷ 2 = 30

The reduced price and what you now pay is $30 (without taxes).

Store B

Day 1: 25% off of $60

First, let's find the discount.

25 / 100    25 ÷ 100 = 0.25

0.25 x 60 = $15

Now that we've found the discount, we then have to find the sale price. We can find the sale price by subtracting the discount from the 100%. (25% of of $60)

$60 - $15 = $45

The sale price and what you pay is $45.

Day 2: 25% off of already reduced price ($45 new 100%)

We do everything again but with a new 100%.

25 / 100    25 ÷ 100 = 0.25

0.25 x 45 = $11.25

$45 - $11.25 = $33.75

Final Sale Price:

Store A - $30.00

Store B - $ 33.75

Which is a better buy?

Store A is a better buy because they're offering a $30 pair of boots while compared to Store B offering a pair of boots at $33.75.

You'll save $3.75 if you shop at store A compared to Store B. At Store B, you'd have to find the percent of a percent which means there will be a new 100%.