How do you write 673.5 in scientific notation?

2 Answers
Jun 12, 2017

To write the expression in scientific notation we need to move the decimal point 2 places to the left so the exponent for the 10s term will be positive:

#673.5 = 6.735 xx 10^2#

Jun 12, 2017

Answer:

#6.735*10^2#

Explanation:

By definition, scientific notation is expressed in a form of

#a*10^n# where #10>a>1# and #n# is an integer.

Using this definition, we can form #a# by expressing it as #6.735# multiplied by a power of #10#. But what power of #10# should we multiply it by?

What this is really asking is

#6.735*10^n=673.5#

Well that's easy! #6.735# multiplied by #100# is #673.5#! And since #100# is #10^2#, we can now write our scientific notation expression!

#6.735*10^2#