How do you simplify #(8.4\cdot 10^ { 4} ) + ( 1.7\cdot 10^ { 4} )#?

1 Answer
Tony B
Nov 30, 2016

#1.01xx10^5#

#color(brown)("Shown in a lot of detail so you can see what is happening.")#
#color(brown)("Once you get used to these you will do a lot of it in your head.")#

Explanation:

Notice that #10^4# is common ( it is in both brackets)

Factor out the #10^4# giving:

#10^4(8.4+1.7)#

#10^4(10.1) " "=" "10.1xx10^4#

But this is not in the same format as in the question.

Multiply 10.1 by 1 but in the form of #1=10/10#

#color(green)([10.1color(red)(xx1)]xx10^4" "->" "[10.1color(red)(xx10/10)]xx10^4 )#

#" "color(green)([10.1/(color(red)(10))color(red)(xx10)]xx10^4)#

#" "1.01xx10color(white)(.)xx10^4#

#" "=" "1.01xx10^5#

Related questions
Impact of this question
520 views around the world
You can reuse this answer
Creative Commons License