How do you multiply 3.045*10^5 * 6.853*10^6?

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1 Answer
Apr 3, 2015

Regroup the coefficients and the exponents together and multiply separately
3.045 * 10^5 * 6.853 * 10^6
= (3.045 xx 6.853) * (10^5*10^6)

3.045 xx 6.853 = 20.86738
solve this by hand or use a calculator/spreadsheet

10^5*10^6 = 10^(11)
since b^p xx b^q = b^(p+q)

So
3.045 * 10^5 * 6.853 * 10^6
= 20.86738 * 10^11

or (if normalized)
= 2.086738 * 10^12