How do you simplify $(1.8times10^-3)/(9times10^2)$ in scientific notation?

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Answer 1 · 2016-03-22T09:54:00

$2xx10^(-6)$

Given: $" "(1.8xx10^(-3))/(9xx10^2)$ ..................(1)

If we can change the 1.8 so that it looks like 18 then $18/9=2$

$1.8" is the same as "18/10$

and $18/10" is the same as "18xx10^(-1)$

So rewrite expression (1) as $" " (18xx10^(-1)xx10^(-3))/(9xx10^2)" "...(1_a)$

Note that $" " 1/10^2$ is the same as $" " 10^(-2)$

So rewrite expression $(1_a)$ as:

$18/9xx10^(-1)xx10^(-3)xx10^(-2)$

Giving: $color(blue)(color(brown)(" "2xx10^(-1-3-2)) = 2.0xx10^(-6))$

How do you simplify (1.8times10^-3)/(9times10^2)(1.8times10^-3)/(9times10^2) in scientific notation?