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Guide 02 > Fractions, Decimals, and Precents > Flashcards

Fractions, Decimals, and Precents Flashcards

1
Q

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?

A

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

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2
Q

What number is 50% greater than 60?

A

Original x (1 + Percent increase/100) = New

60(1+50/100) = 90

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3
Q

Translate:

A is 1/6 of B

A

A = (1/6)B

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4
Q

A plant originally cost $35. The price is increased by 20%. What is the new price?

A

Original x (1 + Percent increase/100) = New

35(1+20/100) = 42

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5
Q

Simplify: (4 x 10-2) - (2.5 x 10-3)

A
  1. 0400
    - 0.0025

________

0.0375

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6
Q

Simple Interest

A

Principal x Rate x Time

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6
Q

Translate:

E is 10% greater than F

A

E = (1+ 10/100)F

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8
Q

What is the integer closest to:

64,239,028 / 16,127,512

A

64,239,028 / 16,127,512 =

64/16 = 4

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8
Q

Convert 0.23 to a fraction

A

23

_____

100

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9
Q

89.507 x 10

A

895.07

Move the decimal forward 1 space

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10
Q

Convert 8% to a fraction

A

8 2

___ = ____

100 25

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11
Q

The Percent Table

A

| **Numbers **| Percentage or Fraction

**Part **| |

**Whole | | ** 100

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11
Q

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?

A

Change | 4 | x

Original | 80 | 100

4 x

___ = ____ = 5. The price increased by 5%

80 100

Numbers | Percentage or Fraction

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11
Q

Translate:

X percent

A

X

_____

100

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13
Q

4,169.2 ÷ 102

A

41.692

Move the decimal backward 2 spaces

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14
Q

When the numerator is smaller than the denominator, the fraction will be

A

less than one

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14
Q

Simplify: (0.08)2 ÷ 0.4

A

(0.08)2 0.0064 0.064

_______ = ________ = ______ = 0.016

0.4                  0.4                  4
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15
Q

Convert 45% to a fraction

A

45 9

___ = ____

100 20

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16
Q

14.29 ÷ 105

A

0.0001429

18
Q

2.57 x 106

A

2,570,000

19
Q

3.9742 x 103

A

3,974.2

Move the decimal forward 3 spaces

20
Q

53.0447 ÷ 10-2

A

5,304.47

21
Q

Convert 0.3 to a fraction

A

3

____

10

21
Q

Convert .007 to a fraction

A

7

_____

1000

22
Q

Use the percent table to solve:

75% of what number is 21?

A

Part | 21 | 75

Whole | x | 100

21 75

___ = ____ = 28

x 100

Numbers | Percentage or Fraction

23
Q

Compound Interest

A

P = principal

r = rate (decimal)

n = number of times per year

t = number of years

24
Q

The Percent Change Table

A

Change | |

Original | | 100

Numbers | Percentage or Fraction

25
Q

What number is 150% greater than 60?

A

Original x (1 + Percent increase/100) = New

60(1+150/100) = 150

26
Q

Translate:

Y is X percent of Z

A

Y = (X/100)Z

OR

Y X

____ = _____

Z 100

28
Q

Use the percent table to solve:

What is 30% of 80?

A

Part | x | 30

Whole | 80 | 100

x 30

___ = ____ = 24

80 100

Numbers | Percentage or Fraction

30
Q

Terminating Decimals:

If after being full reduced, the denominator has

A

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

31
Q

Simplify: (4.5 x 2 + 6.6) ÷ 0.003

A

1)

4.5 x 2 = 9

2)

 9 + 6.6            15.6            15,600

_______ = _______ = _______ = 5,200

  0.003             0.003               3
31
Q

Translate:

Ratio of X to Y

A

X/Y

33
Q

70 is 250% greater than what number?

A

Original x (1 + Percent increase/100) = New

x(1+250/100) = 70

x = 20

34
Q

When the numerator is larger than the denominator, the fraction will be

A

Will be greater than 1

35
Q

As the denominator of a number gets bigger, the value of the fraction gets

A

Smaller

36
Q

Translate:

G is 30% less than H

A

G = (1-30/100)H

37
Q

15% of the water in a full 30-gallon drum evaporated. How much water is remaining?

A

Change | x | 15

Original | 30 | 100

x 15

___ = ____ = 4.5

30 100

30 - 4.5 = 25.5 gallons remain

Numbers | Percentage or Fraction

38
Q

As the denominator of a number gets smaller, the value of the fraction gets

A

Bigger

40
Q

Multiplying a number by a fraction between 0 and 1 created a product _________ than the orginal number

A

Smaller

41
Q

10-3 =

A

1

____ = 0.001

103

42
Q

83.708 ÷ 10

A

8.3708

Move the decimal backward 1 space

43
Q

Dividing by a fraction between 0 and 1 yields a quotient, or result, that is _________ than the orginal number

A

Larger

44
Q

6,782.01 x 10-3

A

6.78201

45
Q

Simple Interest =

A

Principal x Rate (decimal) x Time (years)

46
Q

As the numerator gets bigger

A

The fraction gets bigger because you have more pieces

Guide 02 (2 decks)

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