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QUESTION

What is the scientific notation for 45?

4.5 * 10^1, but also depending on precision.

One of the uses of is to show how many significant digits there are, which is basically a show of precision.

For example, a figure like 4.5000 is technically just 4.5, but it is accurate to the nearest ten-thousandth as denoted by the trailing zeroes.

Since a figure like 250 can be ambiguous if it has 2 sig. figs. or 3, when expressed as 2.50*10^2 we know it is accurate to the singular unit and not, say the nearest tens value.

So depending on how you got that value of 45, it can be 4.5*10^1 (And usually this is the case), but sometimes, it may be taken as 4.5000000 *10^1 because maybe it is a constant and therefore "infinitely precise", but you used that many sig. figs. because you will be operating with numbers of a similar number of sig. figs.

Remember, precision can matter a lot.