Percents, So Many Percents

Algebra Level 2

What is the value 10 10 % of 20 20 % of 30 30 % of 40 40 % of 50 50 % of 60 60 % of 70 70 % of 80 80 % of 90 90 % of 100 100 ?


The answer is 0.036288.

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1 solution

Ashwin Padaki
Jun 1, 2015

There is no really good away to solve this rather than multiplying them on the scratchpad.

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 100 0.1 * 0.2 * 0.3 * 0.4 * 0.5 * 0.6 * 0.7 * 0.8 * 0.9 * 100 = 0.036288 0.036288

Of course there is! 0.1 0.2 0.2 0.3 0.4 . . . . 0.9 = 9 ! = 362880 1 0 9 0.1* 0.2*0.2*0.3*0.4*....*0.9 = 9! = 362880 * 10^-9 . The decimal point moves 9 times, making it 0.000362880. Multiplying by one hundred gives 0.036288 .

Jonathan Hsu - 6 years ago

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