Question
Divide. \[ \frac{3 \times 10^{6}}{6 \times 10^{3}} \]
Ask by Turner Weaver. in the United States
Mar 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
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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Simplify this solution Mind Expander
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: \[ 500 \]
