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GMAT > Fractions, Decimals & Percents > Flashcards

Fractions, Decimals & Percents Flashcards

1
Q

what position is the 2 in:

200,000,000,000

A

hundred billions

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2
Q

what position is the 2 in:

120,000,000,000

A

ten billions

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3
Q

what position is the 2 in:

112,000,000,000

A

one billions

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4
Q

what position is the 2 in:

111,200,000,000

A

hundred millions

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5
Q

what position is the 2 in:

100,020,000,000

A

ten millions

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6
Q

what position is the 2 in:

100,002,000,000

A

one millions

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7
Q

what position is the 2 in:

100,000,200,000

A

hundred thousands

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8
Q

what position is the 2 in:

100,000,020,000

A

ten thousands

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9
Q

what position is the 2 in:

100,000,002,000

A

one thousands

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10
Q

what position is the 2 in:

100,000,000,200

A

hundreds

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11
Q

what position is the 2 in:

100,000,000,020

A

tens

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12
Q

what position is the 2 in:

100,000,000,002

A

units or ones

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13
Q

what position is the 2 in:

100,000,000,000.2000

A

tenths

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14
Q

what position is the 2 in:

100,000,000,000.0200

A

hundredths

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15
Q

what position is the 2 in:

100,000,000,000.0020

A

thousandths

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16
Q

what position is the 2 in:

100,000,000,000.0002

A

ten thousandths

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17
Q

.8347

the 8 in fraction form

A

8/10

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18
Q

.8347

the 3 in fraction form

A

3/100

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19
Q

.8347

the 4 in fraction form

A

4/1000

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20
Q

.8347

the 7 in fraction form

A

7/10,000

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21
Q

103

A

1000

22
Q

1000 (in power of 10)

A

103

23
Q

102

A

100

24
Q

100 (in power of 10)

A

102

25
Q

101

A

10

26
Q

100

A

1

27
Q

10-1

A

.1

28
Q

.1 (in power of 10)

A

10-1

29
Q

10-2

A

.01

30
Q

.01 (in power of 10)

A

10-2

31
Q

10-3

A

.001

32
Q

.001

A

10-3

33
Q

last digit shortcut

what is the units digit of (7)2(9)2(3)3

A

seperately find the units digit of each individual number raised to it’s power.

multiply those numbers together and use the units digit of that answer

34
Q

as the numberator goes up, the fraction:

A

increases

35
Q

as the denominator goes up the fraction:

A

decreases

36
Q

adding the same number to both the numerator and the denominator:

A

brings the fraction closer to one

37
Q

adding fractions

A

increases the value

38
Q

subtracting fractions

A

decreases value

39
Q

multiplying fractions

A

decreases value

40
Q

dividing fractions

A

increases value

41
Q

percent change (increase or decrease)

A

change/original = x/100

42
Q

percent of original

A

new/original = x/100

43
Q

if a quantity is increased by x percent, then the new quantity is:

A

(100 + x)% of the original

formula:

original x (1 + %increase/100)

44
Q

if a quantiry is decreased by x percent then the new quantity is

A

(100 - x)% of the orignal

formula:

original x (1 - %decrease/100)

45
Q

simple interest

5000 invested for 6 mo at an interest rate of 7% in simple interest

A

principle x rate x time

principle =5000

rate = 7% or .07

time = 6mo or .05 years

=175

46
Q

compound interest

5000 is invested for 1 year at a rate of 8% compounded quarterly

A

P(1 + r/n)nt

p = principal (5000

r = rate (8% or .08)

n = number of times per year (4)

t = number of years (1)

=412

47
Q

chemical mixtures

A

use mixture chart

original change new

first ingredient

second incredient

total solution

original + change = new

48
Q

percents and weighted averages

A

set up a mixture chart

use mixture chart

type one type 2 total

first ingredient

other incredients

total product

original + change = new

49
Q

when a question asks what percent of x is y

A

y/x

50
Q

When a question asks: y is what percent of x

A

y/x

51
Q

you can compute the percent change using the ration f any two of the following:

(for data sufficiency)

A

original, change and new

52
Q

A makes up 60% of the whole. B makes up the rest.

A grows by 5% and the whole grows by 7 percent. What percent did B grow?

(equation)

A

(.60 * .05) + (.40 * x) = .07

GMAT (7 decks)

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