How do you evaluate #(6\times 10^ { 3} ) \cdot ( 4.6\times 10^ { 5} ) \cdot ( 2\times 10^ { - 2} )#?

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Answer 1 · 2018-07-05T22:27:56

#55.2\times 10^{6}#

Given that

#(6\times 10^3)\cdot(4.6\times 10^5)\cdot (2\times 10^{-2})#

#=(6\times 4.6\times 2)\times(10^{3}\times 10^{5}\times 10^{-2})#

#=(55.2)\times(10^{3+5-2})#

#=55.2\times 10^{6}#

Answer 2 · 2018-07-06T10:21:47

#6xx4.6xx2=55.2#

#10^3xx10^5xx10^-2=10^(3+5-2)=10^6#

Putting these together

#55.2xx10^6=5.52xx10^7#