How to simplify #[1.23 times 10^(11)] times 25 # in scientific notation?

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Answer 1 · 2018-06-03T05:54:47

#3.075 xx 10^12#

Given: #[1.23 xx 10^11] xx 25#

#[1.23 xx 10^11] xx 25 = 1.23 xx 25 xx 10^11#

#= 30.75 xx 10^11#

Standard form of scientific notation is when there is a decimal to the right of the left-most non-zero number. eg. #1.27 xx 10^4#

When you move the decimal place one place to the left, you add one to the existing exponent.

#30.75 xx 10^11 = 3.075 xx 10^(11+1)#

#= 3.075 xx 10^12#