How do you convert 0.25 into scientific notation?
The number in standard scientific notation is
In scientific notation, numbers are written in the form
Your number in decimal form is
To get to "standard" scientific notation, we move the decimal point so there is only one non-zero digit in front of the decimal point.
The leading zero is not significant, so
We moved the decimal point one place, so the exponent is
We moved the decimal point to the right, so the exponent is negative.
The exponential part is therefore
One way of approaching this is to write the decimal in fraction form.
Let's use the one given in red, because in scientific notation, we want one non-zero digit before the decimal point.
Using laws of indices we have:
This is exactly what we want!