How do you simplify (6.1times10^5)(2.4times10^4)?

1 Answer
Dec 28, 2016

1.467xx10^10 larr" Scientific notation"

Explanation:

color(brown)("Breaking this down into a lot of detail so that you can see what is") color(brown)("happening.")

6.1 is the same as 61/10 -> 61xx1/10

2.4 is the same as 24/10->24xx1/10

So (6.1xx10^5)(2.4xx10^4) =6.1xx10^5xx2.4xx10^4

=61xx10^5/10xx24xx10^4/10

=61xx24xx10^5/10xx10^4/10

=61xx24xx10^4xx10^3

=61xx24xx10^7
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

color(white)(14)24
ul(color(white)(14)61) larr" multiply"
1440
ul(color(white)(14)24)larr" add"
1464

So we now have:

1464xx10^7
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1467xx10^7
146.7xx10^8
14.67xx10^9
1.467xx10^10larr" this is the same format as in the question "

1.467xx10^10 larr" Scientific notation"