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Divide. \[ \frac{3 \times 10^{6}}{6 \times 10^{3}} \]

Ask by Turner Weaver. in the United States
Mar 18,2025

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The result is 500.

Solution

Calculate or simplify the expression \( \frac{3 \times 10^{6}}{6 \times 10^{3}} \). Calculate the value by following steps: - step0: Calculate: \(\frac{3\times 10^{6}}{6\times 10^{3}}\) - step1: Separate the fraction: \(\frac{3}{6}\times \frac{10^{6}}{10^{3}}\) - step2: Divide: \(0.5\times \frac{10^{6}}{10^{3}}\) - step3: Divide: \(0.5\times 10^{6-3}\) - step4: Evaluate: \(0.5\times 10^{3}\) - step5: Rewrite the number: \(5\times 10^{2}\) The result of dividing \(3 \times 10^{6}\) by \(6 \times 10^{3}\) is \(5 \times 10^{2}\) or 500.

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To divide the expression \( \frac{3 \times 10^{6}}{6 \times 10^{3}} \), start by dividing the coefficients (the numbers in front) and then divide the powers of ten separately. 1. Divide the coefficients: \[ \frac{3}{6} = \frac{1}{2} \] 2. Now divide the powers of ten: \[ \frac{10^{6}}{10^{3}} = 10^{6-3} = 10^{3} \] Putting it all together, we have: \[ \frac{3 \times 10^{6}}{6 \times 10^{3}} = \frac{1}{2} \times 10^{3} = \frac{10^{3}}{2} \] Now, to express \( \frac{10^{3}}{2} \) as a decimal, calculate: \[ \frac{1000}{2} = 500 \] Thus, the final answer is: \[ 500 \]

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