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The precision of a number is determined by its last digit. The true value lies with a half of the place value of this last digit. In the above case it is the 6, which is in the thousandths place. So the true value lies within half-of-one-thousandths of the given number. That is, it lies in the interval [234.8955, 234.8965]. I use round-to-even, which is the default rounding mode used in IEEE 754 standard for computing functions and operators.

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9y ago
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9y ago

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Q: What digit in 234.896 determines its precision?
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