How to simplify $(3.045times10^5) /( 6.853times10^3)$ in scientific notation?

Question

1644 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-21T11:42:35

$4.443*10^1$

The expression can be rewritten in two parts as $(3.045/6.853)*(10^5/10^3)$

$(3.045/6.853) ~~0.4443$ which in scientific notation should be written as $4.443*10^-1$

The expression then becomes $4.443*(10^-1*10^5/10^3)$

By the rules for exponents the powers of $10$ should be added/subtracted to give

$=4.443*(10^5/10^4) =4.443*10^1$

How to simplify (3.045times10^5) /( 6.853times10^3)(3.045times10^5) /( 6.853times10^3) in scientific notation?