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%.

Katrina's Percent Post

1.Percent Means
Equivalent fraction out of 100, per(out of), cent(100)

Why did we use 100% than 1000%
They use 100% because its easy to picture it than 1000%, 200%, 2000%, etc.



100% means any whole, everything, 100/100.

10 means 10/100. Divide it by 10

50% means half. Divide it by 2

25% means 25/100, divide it by 4,

1% means 1/100, divide it by 100.



205/100 or 5/4
Its an improper fraction which means the numerator is bigger than the diameter is. Some people call it Top Heavy.

2.Representing Percent

180%

0.6%

12 3/8% 

3.Converting


Fraction, Decimal, Percent

35 out of 50    35/ 50= 0.66   0.66 x 100= 60%



Decimal, Percent, Fraction


0.0064/1= 0.64/100 or 0.64  0.64 x 100= 64%  64/ 100


Percent, Decimal, Fraction

750%     750/100= 7.5     75/10 or  7 1/2


4.Solving Percent(mental, calculator)

Mental Math                                                                                                    Calculator

                                 
1. 20% of 60

                2. 0.1% of 40  

      3. 250% of 400      







5.Combining Percents


When you are working with money you will see discounts, sale price or regular price, and savings.
Discounts is what you save.
Sale Price is what you pay.

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


To find the total taxes, add the taxes into a hundred and add.

example.

What is the final sale price at each store? Which is a better buy?



Store A $10.50: 50% off one day only.

50/100=0.5 x 10.50= 5.25

Store B $10.50: 25% off one day followed by 25% off the reduced price the second day.

Day1.                                                                                                                       Day2.

Which is a better buy?
StoreA is a better buy because theyre offering us $5.25 comparing to StoreB we have to pay $7.88 in the first day but in the second day they offered us 25% again which make the sale price a little lower. But StoreA is better because we have to pay $5.25 its lower than $5.91 or $7.88