Without a calculator, calculate which interval is in.
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I just use the fact that 2 7 5 2 7 2 . 5 < 2 7 5 2 7 3 < 2 7 5 2 7 5 , therefore, we simplify into 1 1 0 1 0 9 < 2 7 5 2 7 3 < 1 . I think it's not that hard to obtain 1 0 9 divided by 1 1 0 without using a calculator or maybe you can easily guess that 1 1 0 1 0 9 ≈ 0 . 9 9 . # Q . E . D . #