Problem

c. $\left(8 \times 10^{9}\right) \div\left(4 \times 10^{6}\right)=$
(Use the multiplication symbol in the math palette as needed.)

Answer

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Answer

\(2 \cdot 10^3 = \boxed{2000}\)

Steps

Step 1 :\((8 \times 10^9) \div (4 \times 10^6) = (8 \times 10^9) \cdot \frac{1}{4 \times 10^6}\)

Step 2 :\((8 \times 10^9) \cdot \frac{1}{4 \times 10^6} = 8 \cdot 10^9 \cdot \frac{1}{4} \cdot \frac{1}{10^6}\)

Step 3 :\(8 \cdot 10^9 \cdot \frac{1}{4} \cdot \frac{1}{10^6} = 8 \cdot \frac{1}{4} \cdot 10^9 \cdot \frac{1}{10^6}\)

Step 4 :\(8 \cdot \frac{1}{4} \cdot 10^9 \cdot \frac{1}{10^6} = (8 \div 4) \cdot (10^9\div 10^6)\)

Step 5 :\((8\div 4) \cdot (10^9 \div 10^6) = 2 \cdot 10^3\)

Step 6 :\(2 \cdot 10^3 = \boxed{2000}\)

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