How do you write #0.07 * 10^6# in scientific notation?

1 Answer
Sep 15, 2015

Answer:

#7 * 10^4#

Explanation:

A general form number written in exponential form

#a * 10^b#

must have its mantissa, which is the name given to coefficient #a#, in the interval

#1 <= |a| < 10#

Your starting number has its mantissa written as #0.07#. This means that you must use up some of those power of #10# to get it in that interval.

So, you have

#0.07 * 10^6 = 0.7 * 10^5 = 7 * 10^4#

You now have #1 <=7 < 10#, so this is where you stop.

Since the original number had one signifcant figure, its scientific notation version must have one significant figure as well.