Fractions, Decimals, and Precents Flashcards
Use the percent change table to solve:
If the price of a $30 shirt decreased by 20%, what was the final price of the shirt?
Change | x | 20
Original | 30 | 100
x 20
___ = ____ = 6
30 100
Therefore, the price of the shirt decreased by $6. The final price of the shirt was $30 - $6 = $24
Numbers | Percentage or Fraction
What number is 50% greater than 60?
Original x (1 + Percent increase/100) = New
60(1+50/100) = 90
Translate:
A is 1/6 of B
A = (1/6)B
A plant originally cost $35. The price is increased by 20%. What is the new price?
Original x (1 + Percent increase/100) = New
35(1+20/100) = 42
Simplify: (4 x 10-2) - (2.5 x 10-3)
- 0400
- 0.0025
________
0.0375
Simple Interest
Principal x Rate x Time
Translate:
E is 10% greater than F
E = (1+ 10/100)F
What is the integer closest to:
64,239,028 / 16,127,512
64,239,028 / 16,127,512 =
64/16 = 4
Convert 0.23 to a fraction
23
_____
100
89.507 x 10
895.07
Move the decimal forward 1 space
Convert 8% to a fraction
8 2
___ = ____
100 25
The Percent Table
| **Numbers **| Percentage or Fraction
**Part **| |
**Whole | | ** 100
Use the percent change table to solve:
The price of a cup of coffee increased from 80 cents to 84 cents. By what percent did the price change?
Change | 4 | x
Original | 80 | 100
4 x
___ = ____ = 5. The price increased by 5%
80 100
Numbers | Percentage or Fraction
Translate:
X percent
X
_____
100
4,169.2 ÷ 102
41.692
Move the decimal backward 2 spaces
When the numerator is smaller than the denominator, the fraction will be
less than one
Simplify: (0.08)2 ÷ 0.4
(0.08)2 0.0064 0.064
_______ = ________ = ______ = 0.016
0.4 0.4 4
Convert 45% to a fraction
45 9
___ = ____
100 20
14.29 ÷ 105
0.0001429
2.57 x 106
2,570,000
3.9742 x 103
3,974.2
Move the decimal forward 3 spaces
53.0447 ÷ 10-2
5,304.47
Convert 0.3 to a fraction
3
____
10
Convert .007 to a fraction
7
_____
1000
Use the percent table to solve:
75% of what number is 21?
Part | 21 | 75
Whole | x | 100
21 75
___ = ____ = 28
x 100
Numbers | Percentage or Fraction
Compound Interest
P = principal
r = rate (decimal)
n = number of times per year
t = number of years
The Percent Change Table
Change | |
Original | | 100
Numbers | Percentage or Fraction
What number is 150% greater than 60?
Original x (1 + Percent increase/100) = New
60(1+150/100) = 150
Translate:
Y is X percent of Z
Y = (X/100)Z
OR
Y X
____ = _____
Z 100
Use the percent table to solve:
What is 30% of 80?
Part | x | 30
Whole | 80 | 100
x 30
___ = ____ = 24
80 100
Numbers | Percentage or Fraction
Terminating Decimals:
If after being full reduced, the denominator has
Any prime factors besides 2 or 5, then it’s decimal will repeat
If the denominator only has factors of 2 and/or 5, then the decimal will terminate
Simplify: (4.5 x 2 + 6.6) ÷ 0.003
1)
4.5 x 2 = 9
2)
9 + 6.6 15.6 15,600
_______ = _______ = _______ = 5,200
0.003 0.003 3
Translate:
Ratio of X to Y
X/Y
70 is 250% greater than what number?
Original x (1 + Percent increase/100) = New
x(1+250/100) = 70
x = 20
When the numerator is larger than the denominator, the fraction will be
Will be greater than 1
As the denominator of a number gets bigger, the value of the fraction gets
Smaller
Translate:
G is 30% less than H
G = (1-30/100)H
15% of the water in a full 30-gallon drum evaporated. How much water is remaining?
Change | x | 15
Original | 30 | 100
x 15
___ = ____ = 4.5
30 100
30 - 4.5 = 25.5 gallons remain
Numbers | Percentage or Fraction
As the denominator of a number gets smaller, the value of the fraction gets
Bigger
Multiplying a number by a fraction between 0 and 1 created a product _________ than the orginal number
Smaller
10-3 =
1
____ = 0.001
103
83.708 ÷ 10
8.3708
Move the decimal backward 1 space
Dividing by a fraction between 0 and 1 yields a quotient, or result, that is _________ than the orginal number
Larger
6,782.01 x 10-3
6.78201
Simple Interest =
Principal x Rate (decimal) x Time (years)
As the numerator gets bigger
The fraction gets bigger because you have more pieces
