What standard form looks like
with between 1 (inclusive) and 10 (exclusive). One non-zero digit before the decimal point.
Standard form writes any positive number as where and is an integer.
The constraint is what makes it "standard". is a correct numerical value but NOT standard form — convert to .
Examples in standard form.
| Ordinary | Standard form |
|---|---|
Conversion procedure.
- Big number → standard form. Move the decimal point LEFT until exactly one non-zero digit is in front. Count the moves — that's , positive.
- Small number → standard form. Move the decimal point RIGHT until exactly one non-zero digit is in front. Count the moves — that's , negative.
Reverse direction (standard → ordinary). Move the decimal point right by (if positive) or left by (if negative).
- Form: with .
- Big numbers: positive .
- Small numbers (less than 1): negative .
- Count decimal moves to find .