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Notes Booklet
Percents 8
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Percent
the word “ “ means
half of 56
the term “percent” translates as
32%
therefore, “percent” refers to a , where the second term is
78%
Common Uses of Percentages
(1) (GST,PST)
(2) (sale price)
(3)
(4) (paid, charged)
Converting Between Percents and Decimals
Converting Decimals to Percents
0.0032 0.125 3.26
1. by (and add a % symbol)
0.0032 0.0032 • 100 = %
0.125 0.125 • 100 = %
3.26 3.26 • 100 = %
Converting Percents to Decimals
160% 0.35% 25.2%
1. by (and remove the % symbol)
160% 160% ÷ 100 =
0.35% 0.35% ÷ 100 =
25.2% 25.2% ÷ 100 =
Converting Fractions to Percents
1625 3
4 1840 17
35
1. convert to a fraction with a of
2. the is the percent
1625 16
25 • 44 = ❑100 = %
34 3
4 • 2525 = ❑100 = %
3. first to a of 100, then convert to a of 100
1840 18
40 ÷ 22 = ❑20 • 55 = ❑
100 = %
4. the by the (to form a
)
5. by (and add the % symbol)
1735 17 ÷ 35 = • 100 = %
Converting Percents to Fractions
326% 23.17% 0.004%
1. write as a with a of
2. the fraction, if necessary
326% 326100 = 3 26100 = 3 ❑
❑
3. to remove any
4. the fraction, if necessary
35.25% 35.25100 • 100100= ❑
10000 ÷ ❑❑ =
0.004% 0.004100 • 10001000 = ❑
100000 ÷ ❑❑ =
Calculating the percentage of a number
find 26% of 70
to find the of a number:
(1) convert the percent to a
(2) then by the decimal formed
26% of 70 ( 26100) 0.26 • 70 =
6% of 90 ( 6100)
112% of $40 (112100)
412 % of 60 ( 4.5100)
34 % of 100 (0.75100 )
Discount and Sale Price
discount an that is from the price of an item
it can be offered as:
(1) a amount
(2) a of the original price
Calculating the amount from a percentage
15% off a $250.00 cell phone
1. convert the to a
2. the original amount
3. to the nearest
4. to calculate the
Calculating the percentage from an amount
$15 coupon off a $169.99 iPod
1. the of the discount by the price of the item
2. the answer to a
3. to the required
PST and GST
taxes are a of or that are paid to a
GST the
is all across Canada
PST the
is in British Columbia
each is calculated on the (sale) price of the item
each is calculated and then are to the sale price to give a
price
Example
The Star Wars—Revenge of the Sith DVD was on sale for $19.99. Calculate the total price of the item.
Commission
commission is a system of that is based on a of total
is usually a combination of: (1)
(2)
examples:
Example
Sally sells sandals by the seashore. How much did she make for the week if she makes $6.60 / hr for 17 hours as well as receiving 6% commission for $616 of sales?
100% of a Number
think of it as a “ “ where one term will be
1. to get 100%
25% of a number is 36
2. / to get the ratio to a of 100 (2,4,5,10,20,25,50) then to get to 100%
40% of a number is 36
3. write as a then
7% of a number is 8.4
4. by the
3% of a number is 10.5as
Interest
interest the amount of money or for the use of money
It is a of the original amount
simple interest the interest is calculated on the
I = P • r • t
principal the amount which is borrowed / lent
rate the of the principal that is charged, as a
time expressed in
convert days:
convert weeks:
convert months:
Compound Interest
compound interest the interest is calculated on the amount (principal + interest) each cycle
The amount at the of one year (cycle) becomes the for the next year (cycle)
YR Principal Amount ($)
Interest Total Amount ($)Rate Amount ($)
1 $1 000 0.04
YR Principal Amount ($)
Interest Total Amount ($)Rate Amount ($)
2 0.04
YR Principal Amount ($)
Interest Total Amount ($)Rate Amount ($)
3 0.04
YR Principal Amount ($)
Interest Total Amount ($)Rate Amount ($)
4 0.04
YR Principal Amount ($)
Interest Total Amount ($)Rate Amount ($)
5 0.04