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.

Ceci's Percent Post

Percent means...
Percent s a equivalent fraction that's out of 100.
They picked 100 to be percent because 100 is the right number that's not too big and not too small.
the word percent and symbol % both meant out of 100, PER = out of, and CENT = 100. % = /100.

Here is how we find %,
we can use a T chart to find the %,
for example,
 we have 60 pencils,
what is 10% of 60?
what is 25 % of 60?
what is 50 % of 60?


                          PERCENT  |    PENCILS
                          100      |     60
               /10                 |                /10
                          10       |     6



                         PERCENT   |    PENCIL

                          100      |     60

              /4                   |                /4
                          25       |     15



                        PERCENT   |    PENCIL

                          100     |     60
             /2                   |                /2
                          50      |     30


Representing Percent


a)180%

b)0.6%

                                        
                                      













c) 12 3/8      

Converting percents


fraction -- decimal -- percent
88/50
88/50 = 1.76
because 88 divide by 50 equals = 1.76,
1.76/1 * 100/100 = 176/100 or 176%


decimal -- percent -- fraction
0.0064 * 100 = 0.64 or .64%
0.0064 = 64 /10 000


 64        16       4
---   /   ----  =  ---
10000      16      625





percent -- decimal -- fraction
0.3%
0.3 / 100 = 0.003
0.003 = 0.003 / 1000
0.003 = 3 / 1000

understanding percent,

combining percents,

decimal, fraction 

4.

1) 20% of 60
   10% = 6
   because, you move the decimal  60. to the left once,
   10 x 2=20
   6 x 2=12

   calculation:
   20/100
   0.20 x 60 = 12

2)0.1% of 40
   0.1 x 1000 =100
   40/1000 = 0.04

   calculation:
   0.001 x 40 = 0.04

3)250% of 400
   250 x 400 = 100000
   100000 / 100 = 1000
 
   calculation:
   250/100 = 2.5
   400 x 2.5 = 1000

 



5.
Tips: % OFF = discount,what you save
 sale price = what you pay  

question 7 from pg. 149 (text book)
 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.
 

first year:
10 + 100 = 110
110     100     1.1
---  /  ---  =  ---  =  1.1
100     100      1

1.1 X 100 = 110

     OR

10% of 10010% + 100% = 110%
110/100 = 1.1
1.1 x 100 = 110

second year:
110 caribou
20 + 100 = 120
120   100    1.2
--- / ---  = --- = 1.2
100   100     1

1.2 X 110 = 132

   OR

20% of 110
20% + 100% = 120 %
120 / 100 = 1.2
1.2 x 110 = 132

The population after the second year is 132.


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

 There was not a 30% increase in population over
 two years because, the percent had changed. we
 need to find 10% of 100 first, when we get the
 answer we have to  find 20% of that number.The
 number had changed, we are not looking for the
 percent of 100 so, the final answer would
 change too.




 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




For Example
The total price of the jacket is 200 dollars

store a)

50% off means half off
half of $200 is $100

    OR 

50% = 0.5
0.5 X 200 = $100







store b)

the first day...

75% = 0.75
0.75 X 200 = $150

    OR 

25% of 200 = 50
200 - 50 =$150









the second day...

75% = 0.75
0.75 X 150 = $112.5

     OR 

25% of 150 = 37.5
150 - 37.5 = $112.5





The final price for store a) is $100, and for sore b) is $112.5. Store a) is a better choice because, store a) is 50% off which means it is half of the regular price. Store b) is 25% off from the regular price, and 25% off from the reduced price, the number had changed smaller so, the discount would change smaller too. If the discount  gets less then, the sale price gets more.

 convert percents, decimals and fractions....

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.

Joanna's Percent Post

What is a percent?

Percent is an equivalent fraction out of 100.
Here is how we find an equivalent fraction out of 100.

  9/10 = 90/100
  9 x 10 = 90                 Why 100%? 100 is used because it's just right. It is also a number that is
  10 x 10 = 100                                                            easily seen.

Percent was made by the French. Per means 'out of' in French and Cent means '100'. Together, they make 'out of 100'. For the percent symbol %, the line symbolizes the 1 while the two little circles represents 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 of 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, 20/40 or 50/100.
25% means 25/100, 1/4, one quarter.
1% means 1 out of 100, 1/100.

Representing Percents %

a) 180%

                                         












b) 0.6%

c) 12 3/8%

Fractions - Decimals - Percents

Fractions and converting them into decimals and percents...

1) 3/40 

Decimals: 3 ÷ 40 = 0.075

Percents: 0.075 x 100 = 7.5 

               0.075    /     1

       0.075 x 100 / 1 x 100

                7.5    /    100

3/40 --> 0.075 --> 7.5/100

Decimals and converting them into fractions and percents...

2) 0.086

Fractions:               43 / 500 

                                How?

                         0.086 / 1

            0.086 x 1000 / 1 x 1000

                            86 / 1000

                     86 ÷ 2 / 1000 ÷ 2

                          43 / 500

Percents: 43 ÷ 500 = 0.086 0.086 x 100 = 8.6%

0.086 --> 86/1000 or 43/500 --> 8.6%

Percents and converting them into decimals and fractions...

3) 33%

Decimals: 33 ÷ 100 = 0.33

Fractions:     33 / 100

                       How?

                 0.33 / 1

      0.33 x 100 / 100

                  33 / 100

33% --> 0.33% --> 33/100

PERCENT OF A NUMBER

                  1) 20% of 60

Calculator: 20 ÷ 100 = 0.20                            Mental Math:   #   |  %   

0.20 x 60 = 12                                                                           60 | 100  

                                                                                      ÷ 5       12 | 20    ÷ 5

20% of 60 = 12                                                                     12% of 60 = 12

A way of finding a percent of a number is to divide. Of means divide. In other words, you are multiplying 20% to 60, but what is 20% as a number? In order to do that, you have to divide your percent by 100. After that, you multiply your decimal to your number or whatever amount you have.

               2) 0.1% of 40

Calculator: 0.1 ÷ 100 = 0.001                         Mental Math:    #   |   %

0.001 x 40 = 0.04                                                                      40  | 100               

                                                                                ÷ 1000    0.04  | 0.1   ÷1000       

                                                                                             0.1% of 40 = 0.04

Since 0.1% is less than 1 and you know that 1% of 40 is 0.40, you should have something that is less than 0.40.

When dividing by 10, 100, 1000, etc, you move the decimal to the left by how many zeros are in the number. 

60 ÷ 100 = 0.60

          6 0 . 0 = 0.60

                                                                            ^ ^ ^   - move to two place values since 100 has 2               

                                                                                                                 zeros.

                3) 250% of 400

Calculator: 250 ÷ 100 = 2.50                           Mental Math:    #  |   %  

2.5 x 400 = 1000                                                                      400 | 100

                                                                                       x 2     800 | 200   x 2

                                                                                      ÷ 4     200  | 50     ÷ 4

                                                                                            + 1000 | 250

                                                                                        250% of 400 = 1000

Since 250 is greater than 100, you'll end up having more than you total.

             What you do on one side, you do to the other.

Combing Percents %

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

Discount - What you save

Sale Price - What you pay

When finding the sale price...

Regular Price - Discount = Sale Price

When finding the total price including the taxes...

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

4.4 Page 149

7.  A herd of 100 caribou 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 herd of caribou was 132. How?

                                

1. For finding the increase of the caribou, first thing's first is to add 100 + 10 since 'increasing' means to end up having more than what you had before. This tells you that for your answer, you should have a number that's more than the regular amount of caribou. 
2. After that, you need to take the percents that were from the question and convert them into a decimal. By doing so, you would have to divide the percent by 100.
3. Last part is to multiply the decimal to the total amount of caribous.

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

                                100 + 20 = 120              120 ÷ 100 = 1.2            1.2 x 110 = 132

                     b) The reason why 30% was not used because 100% was changed. From the first photo, the total amount of caribou were 100, but since we needed to make another diagram, the total was not 100 anymore because it was changed to 110 instead.

4.4 Page 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 prince the second day

Store A:

Price - $200 for a guitar

200 ÷ 2 = 100

Why 2? I used 2 because the 2 represents half of the number and in decimals, half equals 0.5.

or

50 ÷ 100 = 0.50              0.50 x 200 = 100 

The final price of the guitar in Store A is $100.

Store B:

Price - $200 for a guitar

25 ÷ 100 = 0.25       0.25 x 200 = 50        200 - 50 = $150 

   25 ÷ 100 = 0.25         0.25 x 150 = 37.5        150 - 37.5 = $112.50

First, you'll need to convert your percent, in this case it is 25%, to a decimal. In order to do that, you'll need to divide your percent out of 100 since percentage is out of 100%. 

25 ÷ 100 = 0.25

Second, you will need to solve what 25% is out of 200. To do that, you need to multiply the decimal to the total which is 200.

0.25 x 200 = $50

Now, you have found what 25% is out of 200 but you do not know how much you pay. Since we are working with money, 25% is what you save. You aren't done till you have your sale price. To find your sale price, you need to subtract 25% of 200 from $200.

200 - 50 = $150

You now have the sale price of the guitar of that one day. Next step is to find another 25% off from the sale price on the second day.

Again, you'll need to convert the percent into a fraction and multiply the given decimal to the sale price, which is 150.

25 ÷ 100 = 0.25                     0.25 x 150 = 37.5 or $37.50 

After that, you will need to subtract 25% of the reduced price and subtract it from the sale price, $150.

150 - 37.5 = 112.5 or $112.50

Which is a better buy? Buying the guitar from Store A is a better buy because you are saving $12.50 if you don't buy it from Store B. The reason why Store A was better than Store B was because of how the total of 100 was changed to 150 which caused it to have a bigger amount. Since Store B has a greater total or all than Store B, it will end up saving less than what Store A is saving.