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From this remainder fraction, we need a digit that is to be a closest-under multiple of 1/10. We can find this by performing another division. If we multiply the numerator by 10, the quotient after division will give us the digit. If the division we just performed leaves no remainder, we have the exact value, and we are done. If there is a remainder, its value will be smaller than 1/10, and we will move on to the 1/100 digit. The value for that digit will be the numerator of the closest-under denominator-100 fraction to the remainder. Multiplying the remainder by 10 and dividing as before will again reveal the desired digit.

Decimals

Numbers and Arithmetic




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