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Since 1 billion is 1000 million

Soc changing all quantities to million
Finland forest area =53.42 million hect.
Worlds's forest area =8.076 billion hect.

% =53.42*100/8.076*1000 =0.66%


Answer C
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Bunuel

Tough and Tricky questions: Percents.



Approximately what percentage of the world’s forested area is represented by Finland given that Finland has 53.42 million hectares of forested land of the world’s 8.076 billion hectares of forested land.

A) 0.0066%
B) 0.066%
C) 0.66%
D) 6.6%
E) 66%

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Source: Chili Hot GMAT

Official Solution:

Approximately what percentage of the world’s forested area is represented by Finland given that Finland has 53.42 million hectares of forested land of the world’s 8.076 billion hectares of forested land.

A) 0.0066%
B) 0.066%
C) 0.66%
D) 6.6%
E) 66%

Approximation

Approximation is a strategy that helps us arrive at less than an exact number and the inclusion in this problem of the word “approximately” is an obvious clue. First, 8.076 billion is 8,076 million. Next, 8,076 million rounds to 8,000 million and 53.42 million rounds to 53 million. Dividing 53 million by 8,000 million we arrive at 0.0066 (53M/8,000M). We convert this decimal figure to a percentage by multiplying by 100 (or moving the decimal point two places to the right) and adding a percent sign in order to obtain our answer of 0.66%. Note that the shortcut method involves comparing 53 million to 1% of 8,000 million or 80 million. Since 53 million is approximately two-thirds of 80 million then the answer is some two-thirds of 1% or 0.66%.

Answer: C.
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I tried to approximate:
53,420,000/8,076,000,000
we can remove 4 zero's from top and bottom:
5342/807600
ok, let's approximate:
5000/800000
simplify by 1000.
5/800
ok, so this is easier.
divide 5 by 8, and get 0.625.
now, 0.625/100 is 0.625% or aprox. 0.66%. so C.
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