not so easy #1

whats the difference between 22/7 and pi................... correct upto 5 decimal places


The answer is 0.00126.

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1 solution

Caleb Townsend
Mar 14, 2015

Without a calculator, you need to know the first several digits of 1 / 7 1/7 and of π . \pi. Since 22 / 7 22/7 and π \pi are both between 3 3 and 4 , 4, the ones digit is 0. 0. From there, 22 / 7 mod 1 = 1 / 7 . 14285714... 22/7 \text{ mod } 1 = 1/7 \\ \approx .14285714... π mod 1 . 14159265... \pi \text{ mod } 1 \approx .14159265... d . 14285714 . 14159265 = . 00126449 0.00126 d \approx .14285714 - .14159265 \\ = .00126449 \\ \approx \boxed{0.00126}

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