Don't use a calculator

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Without a calculator, calculate which interval 273 275 \dfrac{273}{275} is in.

Other 0.97 to 0.98 0.99 to 1.00 0.98 to 0.99

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1 solution

Tunk-Fey Ariawan
Jan 29, 2014

I just use the fact that 272.5 275 < 273 275 < 275 275 \frac{272.5}{275} < \frac{273}{275} < \frac{275}{275} , therefore, we simplify into 109 110 < 273 275 < 1 \frac{109}{110} < \frac{273}{275} < 1 . I think it's not that hard to obtain 109 109 divided by 110 110 without using a calculator or maybe you can easily guess that 109 110 0.99 \frac{109}{110} \approx 0.99 . # Q . E . D . # \text{\# }\mathbb{Q}.\mathbb{E}.\mathbb{D}.\text{\#}

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