What standard form looks like
Every number in standard form has the same shape — one digit before the point, then a power of ten.
Standard form (also called scientific notation) is a tidy way of writing very large or very small numbers. Every number in standard form has the same shape:
with two rules to remember:
- is a number with exactly one non-zero digit before the decimal point, so .
- is an integer — it can be positive, negative or zero.
So and are written correctly, but and are not — the part is in the wrong range. Fix them by sliding the decimal point and adjusting the power: and .
This neat shape means scientists, engineers and your calculator can write huge or tiny quantities without filling the page with zeros. The mass of the Earth becomes a comfortable kg instead of digits of zeros.
- Standard form is always .
- must be at least 1 and less than 10.
- is a whole-number power — positive, negative or zero.
- Slide the decimal point to fix an that is out of range.