How do you simplify and write #2.5 times 10^3 times 520# in scientific notation?

1 Answer
Jul 24, 2016

Answer:

#1.3xx10^6#

Explanation:

Lets get rid of the decimal!

Write #2.5xx10^3" as "25xx10^2#

Now we have:

#25xx520xx10^2 =13000xx10^2#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Rather than write the solution straight off I am going to do the following so you can see what the stages are and their relationships.

#color(blue)("All the following have the same value. They just look different!")#

#13000xx10^2#
#1300xx10^3#
#130xx10^4#
#13xx10^5#
#1.3xx10^6 larr" This is Scientific notation"#