How do you evaluate #(6.04\times 10^ { 4} ) + ( 3.4\times 10^ { 7} ) #?

1 Answer
smendyka
Oct 9, 2017

See a solution process below:

Explanation:

First, rewrite the term on the right as:

#(6.04 xx 10^4) + (3.4 xx 10^3 xx 10^4) =>#

#(6.04 xx 10^4) + (3.4 xx 1000 xx 10^4) =>#

#(6.04 xx 10^4) + (3400 xx 10^4)#

Now, factor the common term:

#(6.04 + 3400) xx 10^4 =>#

#3406.04 xx 10^4#

To put this into standard scientific notation we must move the decimal point 3 places to the left which means we need to add to the exponent for the 10s term:

#3406.04 xx 10^4 => 3.40604 xx 10^7#

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