Showing posts with label Decimal Fraction Percents. Show all posts
Showing posts with label Decimal Fraction Percents. Show all posts

Sunday, December 15, 2013

Marc Manlulu: Percent Post

Welcome to my percent post

Pt. 1


  • 50%- Divide it by 2
  • 10%- Divide it by 10
  • 25%- Divide it by 4
  • 1%- divide it by 100
  • A number out of a hundred.
Pt. 2



180%-




12 3/4%-



0.7%-


Pt. 3

26%

Decimal- All you do is divide it by 100 to get the decimal(26 divide it by 100= 0.26)
Fraction- First find out the decimal. Then your numerator would be the number after the decimal.
               *But you don't know your denominator yet!*
0.26-  26/x   (x=variable)
                After you found out your numerator you have to find the denominator to complete the fraction. All you have to do is you just have to find the place value of the last digit of the decimal. The last digit is 0.26 which is in the hundredths place so your denominator would be 100.

26/100(26 over 100)

7/10 

Decimal- All you do is is divide the numerator by the denominator. (7 divided by 10=0.7)
Fraction- Find the decimal first.(0.7). Then multiply it by 100 because percent is out of a hundred.

0.7x100=70%

0.024
Percent- All you do is multiply it by 100 to get the percent. (0.024x100=2.4%)
Fraction- Find the numerator. Your numerator would be 24. (24/?). For the denominator you have to look at the last digit of the place value of the decimal(0.024) which in the thousandths. So then your fraction would be:

24/1000

Pt.4

1) 20% of 60
    Mental Math:
    10% of 60=6
    10% of 60=6
    6+6=12

    Calculator:
    60 divided by 100=0.6
    0.6x20= 12

2) 0.1% of 40
    Mental Math
    40 divided by 1000=0.04(move the decimal to the left 3x)
 
    Calculator
    40 divided by 100= 0.4
    0.4x0.01= 0.04

3)250% of 400
   Mental math
   100%=400
   100%=400
   50%=200
   400+400+200= 1000

    Calculator:
    400 divided by 100=4
    4x250=1000
Pt.5


Discount is the amount of percentage taken off a regular price : a price reduction.
Sale Price is when the original price is reduced or changed to a lower price. 
Total Price with Taxes is total or amount of money with discounts and sale prices you have to pay. Then the tax is the percentage of the total price of what you need to pay. It depends where you live. There is the GST tax and the PST tax.

Question-
What is the final sale price at each store? Which is a better buy?
Store A- 50% off for one day

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

Example: price=$320.00

Store A- 320 divided by 2=$160.00
             $320.00-$160.00= $160.00

Store B- 320 divided by 4=$80.00
             $320.00 -$80.00=$240.00
             
             $240.00 divided by 4= $60.00
             $240.00-$60.00= $180.00 

Store A would be a better buy because even though store B is 25% off then 25% off the next day, store A has a bigger discount to the price. Store A has $20.00 more off than Store B.









Saturday, December 14, 2013

Tiana's Percent Post

| Welcome to my percent post, friends.  |

Part 1 -  Understanding percents.

50% - Take the whole you have and divide it by 2 to get half, which is the same as 50%.
10% -  Take the whole and divide it by 10 to get 10% of the whole.
1% - Take the whole and divide it by 100, the number that you get is 1% of the whole.
25% - Take the whole and divide it by 4 to get 25% of your whole.

Percent -  A percent is a number out of 100 and is also another way of saying hundredths. ( eg. 21/100 is the same as 21% )

Part 2 - Representing Percents

180% -




12 3/4% -



0.7% -



Part 3 - Converting Decimals, Percents and Fractions

26%
  • Decimal - Take the whole and divide it by 100. eg) 26 ÷ 100 = 0.26
  • Fraction - To convert decimals to a fraction you need the decimal first. The digits that come after the decimal becomes your numerator.

    eg) 0.26 = 26/?

    After you've done that, you need to find out what place value the last digit of your decimal is in. That place value becomes your denominator.0.06

    eg) 0.20.06 | The 6 is in the hundredths place value, so your fraction would be 26/100

7/10

  • Decimal - To convert a fraction to a decimal, you take the numerator [ 7 ], and divide it by the denominator [ 10 ]

    eg) 7 ÷ 10 = 0.7
  • Percent - To convert a fraction to a percent, you firstly need to find the decimal, and then multiply by 100. Don't forget to add the percent symbol after it.

    eg) 7 ÷ 10 = 0.7
          0.7 × 100 = 70%

0.024

  • Fraction - To convert a decimal to a fraction you need to find what place value the last digit of your decimal is in, which becomes your denominator. And then take away the zeros and decimals to make the digits after the decimal, your numerator.

    eg) 0.024 0.004 | The 4 is in the thousandths place value so your denominator would be ?/1000

    As for the numerator, take the digits that are after the decimal and it becomes your numerator.

    eg) 0.024 = 24/1000 is your fraction.
  • Percent - To convert a decimal to a percent you multiply the whole by 100.

    eg) 0.024 × 100 = 2.4%

Part 4 - Percents of a Number

20% of 60

  • Mental Math - To find out 20% of 60 using mental math, you can find out what 10 percent of 60 is and then multiply it by 2.

    eg) 10% of 60 = 6
          6 × 2 = 12 | 20% of 60 is 12.
  • Calculator - To find 20% of 60 using a calculator you take your percent [20%], divide it by 100 and multiply it by the whole [60].

    eg) 20 ÷ 100 = 0.2
          0.2 × 60 = 12
0.1% of 40
  • Mental Math - To find 0.1% of 40 you need to first find out 1% of 40, and then divide that number by 10. An alternative you can do is divide the whole by 1000, because to find 1% of a number, you divide by 100, so to find 0.1% you divide by 1000.

    eg) 40 ÷ 100 = 0.4
          0.4 ÷ 10 = 0.04 | 0.1% of 40 = 0.04

          ALTERNATIVE;
           40 ÷ 1000 - To do this mentally you can start from the right of the whole and move the decimal as many times as there of zeros within the number you're dividing it by. So for this question, you start from the right of the 40 and move the decimal 3 places to the left because there are 3 zeros in 1000.

    eg) 40 ÷ 1000 = 0.04
  • Calculator - Using a calculator for this, all you need to do is divide 40 by 100 and divide it once again by 10 and it'll give you the answer right away. If you want a bit of a shortcut, another method you can use is dividing the whole by 1000.

    eg) 40 ÷ 100 = 0.4
          40 ÷ 10 = 0.04
                    OR
          40 ÷ 1000 = 0.04
250% of 400
  • Mental Math - To find 250% of 400 with mental math, you can multiply 400 by 2 [ Because it is 200%] And then from the whole, you divide it by 2 / find the half and add it together, which is the same as getting 50%.

    eg) 2 × 400 = 800
          800 + 200 = 1000 [ 50% of 400 = 200 ]
          250% of 400 = 1000
  • Calculator - To use a calculator all you have to do is divide the whole [ 400 ] by 100, and then multiply it by 250.

    eg) 400 ÷ 100 = 4
          4 × 250 = 1000
Part 5 - Combining Percents

Discount - A discount is when a price has been reduced / lowered from it's original value. The discount is usually a percent out of 100 in which the amount the percent is worth how much you are saving. 

Sale Price - A sale price is how much the item costs after the discount is taken off the original value. It will always be a lower value than the original price.

Total Price with Taxes - A total price with taxes is the amount you are paying after discounts are made and both GST and PST taxes are included. Taxes are always added whether there is a discount or not. [Taxes in Manitoba are 13%]

Question :
Store A: $326.78 [ 50% off once]
Store B: $326.78 [ 25% off first day, additional 25% off second day ]

Store A -
326.78 ÷ 100 = 3.2678
3.2678 × 50% = $163.39 - Final Price of 50% off
[ note; there's no need to subtract the 50% because since it's half, the difference is the same value ]
Store B -
326.78 ÷ 100 = 3.2678
3.2678 × 25% = 81.695
326.78 - 81.695 = 245.085 - Round off to $245.09 [ First day sale ]

245.085 ÷ 100 = 2.45085
2.45085 × 25 = 61.27125
245.085 - 61.27125 = 183.81375
Round off to $183.81 - Final Price of 25% off first day and additional 25% off second day.

Store A is the better buy, the reason is because reducing the price by 50% has a lower price value than 25% off an additional 25% off item. 50% is the same as having a half of one thing, if it's 50% of the price, then you only pay half of the price. With Store B, having 25% off one day, still has the price a bit high, and an additional 25% won't make the discount very significant. Although both stores have the same price of item, and the discounts match up [ 50% an 25% + 25% ]. Store A would be the way to go.

Also, another reason is because 50% off of one item has a different value than the method Store B used, because they started off with the same price but they discounted 25% and then another 25%. The second day discount does not apply to the original price, but instead of the discounted price, that's why the discounts from both store do not have the same value although they match up.

This is my percents post!

Tuesday, December 10, 2013

Patrick's percent post

Welcome to my percent post!

Part 1.
Describe how you would find 50%
We divide the number by 2

Describe how you would find 10%
We divide the number by 10

Describe how you find 1%
We divide the number by 100

Describe how you would find 25%
We divide the number by 4

Percent: It is a number that is out of 100

Part 2.


This is how you represent 180%












This is how you represent 12 3/4%













This is how you represent 0.7%











Part 3. 


1) 26%- Percents to Decimal:
Divide the percent by 100 to get the decimal
26%÷100= 0.26
Decimal to fraction:
Find out the place value of the last digit behind the decimal to find the denominator. Once it`s found you take away the decimal to find the numerator.
26/100

2) 7/10- Fraction to Decimal:
Divide the numerator by the denominator to get the decimal
0.7
Decimal to Percent:
To get the percent from the decimal we multiply the number by 100 because a percent is out of 100

3) 0.024- Decimal to Percent:
Multiply the decimal by 100 to get the percent
0.024÷100= 2.4%
Percent to Fraction:
To find the numerator we take out the decimal and that becomes our numerator. To find the denominator we find the place value of the last digit behind the decimal to get the denominator.
24/10

Part 4.
1) 20% of 60
10%-0.6 
10%-0.6
0.6+0.6=1.2
20% of 60= 1.2

2) 0.1% of 40
1%- 0.4
0.5%- 0.2
2.5%- 0.1
1.25%- 0.05
0.6%- 0.025
0.3%- 0.0125
0.1%- 0.00625
0.1% of 40= 0.00625

3) 250% of 400
100%- 400
100%- 400
50%- 200
250% of 400=1000

Part 5.
 

Show you know page 148: What is the final sale price at each store? Which is a better buy? Explain you 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 price is $360.00

Store A: 50% of $360.00
Divide the price by 2 because it explains 50%
$360.00÷2= $180.00
The final price for store A is $180.00

Store B: 25% off original price
Divide the price by 4 because it explains 25%
$360.00÷4= $90.00= discounted price
Divide the discounted price by 4 to reduce it the second day
$90.00÷4= $22.50
The final price for store B is $22.50

Store B is a better buy because we save more money when we buy the item.

The better deal is when you take 25% off the original price and then taking another 25% off the discounted price because instead of taking 50% off the original price you take 25% off the discounted price.