Number value to a decimal numeral is to use just enough digits to distinguish the
Number value. (You can request more or fewer digits by using the
Number type. Using IEEE-754, the result of
.1 + .2 is exactly 0.3000000000000000444089209850062616169452667236328125. This results from:
When formatting this
Number value for display, “0.30000000000000004” has just enough significant digits to uniquely distinguish the value. To see this, observe that the neighboring values are:
If the conversion to a decimal numeral produced only “0.3000000000000000”, it would be nearer to 0.299999999999999988897769753748434595763683319091796875 than to 0.3000000000000000444089209850062616169452667236328125. Therefore, another digit is needed. When we have that digit, “0.30000000000000004”, then the result is closer to 0.3000000000000000444089209850062616169452667236328125 than to either of its neighbors. Therefore, “0.30000000000000004” is the shortest decimal numeral (neglecting the leading “0” which is there for aesthetic purposes) that uniquely distinguishes which possible
Number value the original value was.
This rules comes from step 5 in clause 22.214.171.124 of the ECMAScript 2017 Language Specification, which is one of the steps in converting a
Number value m to a decimal numeral for the
Otherwise, let n, k, and s be integers such that k ? 1, 10k?1 ? s < 10k, the Number value for s × 10n?k is m, and k is as small as possible.
The phrasing here is a bit imprecise. It took me a while to figure out that by “the Number value for s × 10n?k”, the standard means the
Number value that is the result of converting the mathematical value s × 10n?k to the
Number type (with the usual rounding). In this description, k is the number of significant digits that will be used, and this step is telling us to minimize k, so it says to use the smallest number of digits such that the numeral we produce will, when converted back to the
Number type, produce the original number m.
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