How do you write and simplify #1.30 times 10^4 div 6.5 times 10^-5# in scientific notation?

1 Answer
EZ as pi
Jun 6, 2016

#2 xx 10^8#

Explanation:

Firstly, I will assume that there were meant to be brackets to indicate 2 numbers being divided:
#(1.30 xx 10^4)÷(6.5 xx 10^-5)#

One method is to write the calculation in fraction form:
#(1.30 xx 10^4)/(6.5 xx 10^-5)#

Now divide and use laws of indices with the powers of 10. This gives:
#0.2 xx 10^9# But this is not in standard from, so you need to adjust the answer by moving the decimal one place to the left and reducing the power by one.

#0.2 xx 10^9 = 2 xx 10^8#

Another method is to write the calculation differently:

#(1.30 ÷ 6.5 xx 10^4÷ 10^-5)#

This leads to the same result as before.

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