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Divide numbers written in scientific notation

To divide numbers in scientific notation, regroup to divide the factors and divide the powers of ten. Then simplify. To divide the powers of ten, use the Quotient of Powers.

Evaluate the expression $\frac{9.45\cdot10^6}{2.1\cdot10^3}$

 $\frac{9.45\cdot10^6}{2.1\cdot10^3}$ = $(\frac{9.45}{2.1})(\frac{10^6}{10^3})$ Associative Property = $4.5\cdot(\frac{10^6}{10^3})$ Divide 9.5 by 2.1 = 4.5x106-3 Quotient of Powers = 4.5x103 Subtract the exponents. = 4.5x1,000 103=1,000 = 4,500 Move the decimal point 3 places.