Sophia's Percent Post

A percent is a equivalent number out of 100.

100 percent means everything, 100/100
To find 100 percent you have to divide the equivalent number by 1.

50 percent means 50/100, 1/2, divided by 2, half.
To find 50 percent you have to divide the equivalent number by 2.

25 percent means 25/100, 1/4, quarter, divided by 4.
To find 25 percent you have to divide the equivalent number by 4.

10 percent means 10/100, 1/10, divided by 10.
To find 10 percent you have to divide the equivalent number by 10.

1 percent means 1/100, divided by 100.
To find 1 percent you have to divide the equivalent number by 100.


3)



3) Converting Percents Fractions and Decimal

To convert a fraction to a decimal you have to divide the numerator and the denominator to get a decimal number.
ex. 3/40 = 0.075
3 divided by 40 makes 0.075

Now to convert a decimal to a percent you have to multiply my 100, because percents are out of 100 and also a decimal is out of 1.
ex. 0.075*100 = 7.5 so thats 7.5%
0.075 multiplied by 100 makes 7.5

To convert a percent to a fraction you have to get the decimal which if it was 7.5% you divide that by 100  which makes 0.075. Since the place holder is in the thousandths place we put the denominator 1000 and then 75 on the numerator. Then we divide by 2 to get a equivalent fraction.
ex.
75/1000 divide until we get an equivalent fraction = 3/40

4)
20% of 60
Calculator:

20/100= 0.2        0.2*60=12    therefore 12 is 20 percent of 60 

Mental Math:

20% of 60 0.1% of 40
250% of 400

5) Combining Percents

Which is a better deal? 
50% off or 25% off of an already reduced price of 25%
 If the price was $60.00
 to get 50 percent you divide 50 by 100 to get the decimal of 50. Then the number will be 0.5, so 0.5 * 60 = 30.00 so 50% of 60.00 is $30.00.

Now 25% of an already reduced price of 25%.
First get 25% of 60
Which will be 25/100 because all percents a out of 100. Then that would be 0.25, 0.25 * 60 = 15 then
 60- 15 = 45.00
Then there will be a new total  which is $45.00 Then repeat what you did before but instead of the 60 which was the old total it will be 45.00 so 45 -15  = 40.00

So now you know 50% is better then 25% off of an already reduced price of 25%.

Discount is what you save
Sale price is what you pay
Total price is what you pay with the taxes

Angie's Percent Post

A percent is an equivalent fraction out of 100.

100% means 100/100

To find 100% you divide by 1.

50% means 1/2 or 50/100

To find 50% you divide by 2.

25% means 1/4 or 25/100

To find 25% you divide by 4.

10% means 10/100

To find 10% you divide by 10.

1% means 1/100

To find 1% you divide by 100.

Representing Percents

180%

0.6%

12 3/4%

Converting Percents, Fractions and Decimals

3/40- First you divide the numerator by the denominator. Then you multiply the decimal by 100 to get your percent. 

3 divided by 40 = 0.075

0.075 x 100 = 7.5%

5.98- First you multiply by 100. To find the fraction, you count the amount of digits there are. In this case there are 3.

5.98 x 100 = 598%

The fraction would be 598/100.

750%- First you divide the percent by 100. You divide by 100 becausena percent is equivalent to 100 so you have to do the opposite operation.

750 divided by 100 = 7.5 

In this case, it would be 7 1/2. 

Show How You Know

20% of 60

20 divided by 100 = 0.20

0.20 x 60 = 12

20% of 60 is 12.

0.1% of 40

0.1 divided by 100 = 0.001

0.001 x 40 = 0.04

0.1% of 40 is 0.04.

250% of 400

250 divided by 100 = 2.5

2.5 x 400 = 1000

250% of 400 is 1000.

Question 3 on page 148

A. 15 ÷ 100= 0.15, 0.15 x 200 = 30, 30 + 200 = 230

B. 10 ÷ 100 = 0.1, 0.1 x 230 = 23, 23 + 230 = 253

C. 25 ÷ 100 = 0.25, 0.25 x 200 = 50, 50 + 200 = 250

Kyle is incorrect. 

A Discount is what you save.

A Total Price is what you pay altogether including tax.

A Sale Price is what you pay.

Show How You Know on page 148

Which is a better buy? What is the final price?

Plate collection - $68.00

Store A - 50% off one day only

68 ÷ 2 = $34

Store B - 25% off one day followed by 25% off the reduced price the second day

25 ÷ 100 = 0.25

0.25 x 68 = $17

$68 - $17 = $51

$51 x 0.25 = $12.75

$51 - $12.75 = $38.25

Store A is a better buy.

Video:
http://www.youtube.com/watch?v=LQUy83xFL5E

Ian's Percent Post

A percent is an equivalent fraction out of 100/100

100% means everything or 100/100
To find 100% you need to divide the denominator by 1.

50% means half or 50/100
To find 50% you need to divide the denominator by 2.

25% means 25/100
To find 25% you need to divide the denominator by 4.

10% means 10/100
To find 10% you need to divide the denominator by 10.

1% means 1/100
To find 1% you need to divide the denominator by 100.


Representing Percents
   
     180%

    0.6%

12 3/4%

Converting Percents, Fractions and Decimals.

Converting Fractions to Percents and a Decimal.

3/40

To change 3/40 into a decimal, you need to divide the numerator by the denominator.

3 divided by 40 = 0.075

To make it into a percent, you take the 0.075 and multiply it by 100.

0.075 x 100 = 7.5/100 or 7.5%

Converting Decimals to a Percent and a Fraction.

0.268

To change 0.268 into a percent, you take the 0.268 and multiply it by 100.

0.268 x 100 = 26.8/100 or 26.8%

To make it into a fraction, you need to lay it out like this. 

0.268 The 1 is the place holder.

1 000 After this you need to make it into short term form so:

 268  =  134 =  67

1000     500    250

Converting Percents to a Decimal and a Fraction.

750%

To change 750% into a decimal, you need to divide it by 100.

750% divided by 100 = 7.5

To make it into a fraction, you simply take 7.5 and make it into a fraction.

7.5 = 7 1/2

Combining Percents 

For example if  it's $75
50% OFF of $75 is $37.50
If it's 25% then 25% off the second day of $75
$75 x 25 = 1875/100 = $18.75
$75-18.75=56.25
56.25 x 25 = 1406.25/100= $14.0625 or $14.07
56.25 - 14.07 = $42.18

Josh's Percent Post (Josh J.)

Q:What is a percent?
A:A percent is an equivalent fraction out of 100. Since this is like a fraction itself, it can relate to fractions and can be used to change normal fractions into a percentage. To do so, you must divide the numerator of the fraction by the denominator of the fraction. After this you will get a decimal number out of 1. This means that there will be no decimal to get even past it if it was a normal fraction that you were working with. You must multiply the decimal by 100 and boom! You got yourself a nice percentage out of 100!

N/D=Decimal/1
Decimal/1 x 100=%/100

Q:What is 100%
A:Percent or to be more exact 100%, is everything or perfect. For example, if you were to get a test mark and you got 25/25, that would be perfect or "everything correct".

Q: How do you find 100%
A:Now when you guys do your tests, I'm sure you guys all love to find out the actual percent you guys got instead of having a lousy fraction. In order to change this fraction into a percent, we have to first find 100% of the fraction your working with. EX:

I got 25/25 on my test. I really want to know the percentage I actually got.
100% of 25 is.....

Then we need to know how much by percent, we actually have, or the numerator of the fraction in percent form. To do this, we must divide 100% by 1 which is the usual number when you want to get the percentage on a perfect test. Also, if you divide the percent, you must also divide the denominator of the fraction (25) by the amount you divided 100% by

100/1=100%
25/1=25

With this information, you can have an accurate answer that 100% of 25 is 25.

Q: How do you find 50%
A: To find 50 percent you use the same method. You just change the number you are dividing with by 2. EX:

I got 5/10 on my math test. I wonder what percent I actually got.
50% of 10 is......
100/2=50%
10/2=5

Q:How do you find 25%
A: To get 25% you must now divide by 4 when it comes to the part where we divide in this method. EX:

 My family gave 6/24's to the fundraiser at Saskatchewan. I wonder how much in percent that we actually helped them with.
25% of 24 is....
100/4=25%
24/4=6

Once again, you can confirm that 25/100 is the same as 6/24 because they are EQUIVALENT.

Q:How do you find 1%
A:To find 1 percent you must divide by 100 this time. EX:

My mom brought me to Superstore and I saw a jug of milk that said it was 0.4/40 in actual milk. I wonder how much milk in percent was really in that jug.
1% of 40 is....
100/100=1%
40/100=0.4

Finally, this concludes that there is 1% of actual milk in the jug because these fractions are EQUIVALENT! Speaking of equivalent, to find  out if 2 fractions are equivalent, you must use the cross multiplying or cross product method. in order to do this you must show that both are equal to each other with an equals sign.

50/100=1/2

Then you must multiply the numerator from the first fraction with the denominator of the other fraction. Do this with both fractions.

50x2=100
1x100=100

If you get both of the same products, you have EQUIVALENT fractions!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Representing Percent:

180%

 

0.6

 12 3/8%

Converting percents, fractions, and decimals
1. 3/40 :
3/4=0.075

0.075 x 100=7.5%

2. 0.268 :
0.268/1
0.268x100=26.8
1x100=100
26.8%

268/1000
268/2=134
1000/2=500
134/500
134/2=67
500/2=250
67/250

3. 750% :
750/100=7.5
7.5=7 1/2
7 1/2

Converting Decimals, to percents, to fractions

Finding percents w/ mental math and a calculator

0.2x60=12

0.001x40=0.04

2.5x400=1000

Combining percents

0.15x200=30
200+30=230
230x0.10=23
230+23=253

Angel's Percent Post

A percent is an equivalent fraction out of 100/100.

100 percent means everything (100/100).
To find 100 percent you divide by 1.

50 percent means half, 1/2 or 50/100.
To find 50 percent you divide by 2.

10 percent means 1/10 or 10/100.
To find 10 percent you divide by 10.

25 percent means 1/4 or 25/100.
To find 25 percent you divide by 4.

1 percent means 1/100.
To find 1 percent you divide by 100.

Representing Percent

180%

0.6% 

12 3/4% 

Converting Percents, Fractions and Decimals

Converting fractions to decimals and percents: 3/40 

Numerator divided by denominator.

3 divided by 40 = 0.075/1 x 100/100 = 7.5/100 or 7.5%

Converting decimals to percents and fractions: 0.268

0.268/1 x 100/100 = 26.8/100 or 26.8% 268/1000 divided by 4/4 = 67/250

Converting percents to decimals and fractions.

750%/100 divided by 100/100 = 7.5/1 or 7 1/2

Mental Math

20% of 60

0.1% of 40

250% of 400

Calculator

20 ÷ 100 = 0.2

0.2 x 60 = 12

0.1 ÷ 100 = 0.001

0.001 x 40 = 0.04

250 ÷ 100 = 2.5

2.5 x 400 = 1000

Combining Percents

Discount is what you save.

Sale Price is what you pay.

Total Price with taxes is sale price (what you pay) and taxes altogether.

Original price is what is on the sticker.

Original price: $200

Discount: 50% off

Original price: $200

Discount: 25% off already reduced price of 25%

What's the better deal? 

200 ÷ 2 = $100

200 x 0.75 = $150

150 x 0.75 = $112.50

50% off is the better deal. 25% off the already reduced price of 25% doesn't give you the same result because after finding the 25% off the original price. A new total is in play when finding the other 25%.

Heather's Percent Post

A Percent is an equivalent fraction out of 100. Percents are related to fractions. To get the percent in a fraction form you divide the numerator with the denominator and it will give you a decimal. You then multiply the decimal by 100, and it will give you a number out of 100.

N/D = Decimal/1
Decimal x 100 = ?/100

100 percent means everything (e.g 100/100 or 16/16). Per Meaning out of and cent meaning 100, so a percent means a number out of 100.
To find 100 percent, you divide the number  by 1,  and it will give you 100% of that number.
example: 100% of 40 = ?
               40/1 = 40
               100% of 40 is 40
50 percent means half or 1/2 or 50/100.
To find 50 percent, you divide the number by 2, and it will give you 50% of that number.
example: 50% of 40 = ?
                40/2 = 20
                50% of 40 = 20
10% means 1/10 or 10/100.
To find 10 percent, you divide the number by 10, and it will give you 10 % of that number.
example: 10% of 40 = ?
               40/10 = 4
                10% of 40 = 4
25 percent means 1/4 or 25/100.
To find 25 percent, you divide the number by 4, and it will give you 25% of that number.
example: 25% of 40 = ?
               40/4 = 10
               25% of 40 = 10
1 percent means 1/100.
To find 1 percent, you divide the number by 100, and it will give you 1% of that number.
example: 1% of 40 = ?
               40/100 = 0.40
                1% of 40 = 0.40



Representing Percents

180%                                                            12.3/4%
                                             

        

0.6%

Converting Fractions to Decimals and Percents: 88/50
Numerator divide by the Denominator
88 divide by 50 = 1.76
1.76 x 100 = 176%

Converting Decimals to Percents and Fractions: 0.0064
0.0064/1 x 100/100 = 0.64/100 or 0.64%
64/10000 divide by 16/16 = 4/625

Converting Percents to Decimals and Fractions: 750%
750 divide 100 = 7.5
750/100 = 7.5 or 7 1/2



Show How You Know: (Mental Math)
20% of 60:      60 ÷ 10 = 6
                        6 x 2 = 12
                        20% of 60 is 12

0.1% of 40:      40 ÷ 100 = 0.4
                         0.4 ÷ 10 = 0.04
                         0.1% of 40 is 0.04

250% of 400:   400 = 100%
                         400 ÷ 2 = 200 (50%)
                          200 x 5 = 1000
                          250% of 400 = 1000

Calculator:

20% of 60 :                               0.1% of 40:                           250% of 400
20÷100=0.2                                 0.1÷100=0.001                         250÷100=2.5 
0.2 x 60=12                                0.001 x 40=0.04                     2.5 x 400=1000
20% of 60 is 12                          0.1% of 40 is 0.04                     250% of 400 is 1000


Question #3 on pg 148:

a) 15 ÷ 100 = 0.15       b) 10 ÷ 100 = 0.1          c) 25 ÷ 100 = 0.25
    0.15 x 200 = 30            0.1 x 230 = 23             0.25 x 200 = 50
    30 + 200 = 230             23 + 230 = 253            50 + 200 = 250

Kyle is incorrect.



Discount - what you save
Sale Price - what you pay
Total Price - what you pay altogether with tax.
( Discount - Original Price = Sale Price)     (Sale Price + Tax = Total Price)


Show How You Know pg 148
Which is a better buy? What is the final price?
          Plate Collection $ 68.00
Store A: 50% off one day only
              68 ÷ 2 = $34

Store B: 25% off one day followed by 25% off the reduced price the second day.
             25 ÷ 100 = 0.25               $51 x 0.25 = $12.75
             0.25 x 68 = $17               $51 - $ 12.75 = $38.25
             $68 - $17 = $51

Store A has a better deal because it is less than Store B after the discount.





Video to help you learn more about percents.