How do you simplify #\frac{1.88\times 10^{6}}{2.0\times 10^{3}}#?

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Answer 1 · 2017-09-01T16:34:11

See a solution process below:

First, rewrite the expression as:

#(1.88/2.0) xx (10^6/10^3) => 0.94 xx (10^6/10^3)#

Next, use this rule of exponents to simplify the 10s terms:

#x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))#

#0.94 xx (10^color(red)(6)/10^color(blue)(3)) => 0.94 xx 10^(color(red)(6)-color(blue)(3)) = 0.94 xx 10^3#

To write this in standard scientific notation we need to move the decimal point on place to the right so we need to subtract 1 from the 10s exponent:

#0.94 xx 10^3 => 9.4 xx 10^2#