Types of Rounding
Typical rounding problems are
- approximating an irrational number by a fraction, e.g., π by 22/7;
- approximating a fraction with periodic decimal expansion by a finite decimal fraction, e.g., 5/3 by 1.6667;
- replacing a rational number by a fraction with smaller numerator and denominator, e.g., 3122/9417 by 1/3;
- replacing a fractional decimal number by one with fewer digits, e.g., 2.1784 dollars by 2.18 dollars;
- replacing a decimal integer by an integer with more trailing zeros, e.g., 23,217 people by 23,200 people; or, in general,
- replacing a value by a multiple of a specified amount, e.g., 27.2 seconds by 30 seconds (a multiple of 15).
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