How do you simplify and write #(9.2 times 10^6) div (2.3 times 10^2)# in scientific notation?

Question

1967 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-17T18:22:31

#4 xx 10^3#

We can approach this calculation in two different ways:
Write the division as a fraction:

#(9.2 xx10^6)/(2.3 xx10^3) = (92 xx 10^6)/(23 xx 10^3)#

Divide the numbers and subtract the indices:

#=4 xx10^3#

OR:

Re-arrange the factors:
#(9.2 div 2.3 ) xx (10^6div 10^3)#

#=4 xx10^3#