Question

write 0.0007654 * 10^0 in scientific notation, then state the order of magnitude for it.

Answer 1

remember that to put a number in scientific notation is necessary to have the first digit of the number different to 0, so

$0.0007654\cdot10^0=7.654\cdot10^{-4}$

to calculate the order of magnitude, if the number is greater than 3.16, we assume it as a 10, so in this case as 7.654 > 3.16 we get that the order is

$10\cdot10^{-4}=10^{-3}$

So the order is 10^-3