Let .
In your software, set the display format to show as many decimal places as possible, then compute
B = 10 * A,
and
D = B − C.
If D is not O, then you have verified that scalar multiplication by a positive integer and successive addition are not the same in your computing environment. (It is not unusual that D ≠ O, since many computing environments use only a “model” of exact arithmetic, called floating-point arithmetic.)
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