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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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In this case with 234.896 the last digit, '6' determines the precision since in is the last non-zero digit.
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If a number is given to the true degree of precision, this is always determined by its last digit - in this case, 6.
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Always the last number, so in this example the precision is to hundredths.
