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Round it at any digit

"To the nearest hundred" names a place on the number, not a rule to apply. Slide along the digits: one number gives a different right answer at every place you stop.

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1825 to the nearest 10 1830

    Rounding at
    Tens

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    Where it usually goes wrong

    Rounding is done as a chant — five and above, round up — without noticing that the answer depends entirely on which place you are rounding at. 1825 is 1830 to the nearest ten and 1800 to the nearest hundred, and both are right. Rounding twice is where it does real damage: 1849 to the nearest ten is 1850, and rounding that again gives 1900 for a number that was never near it.

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    Where this goes next

    Every estimate, every measurement written to a sensible number of figures, and every price rounded to the penny is this, and getting it wrong quietly is the most common numerical error there is.

    More about numbers and proportion