Question
What is the product of 8300 and \( 7.7 \times 10^{2} \) expressed in scientific notation? Answer Attempt out of 2 Answer: \( \square \times 10 \square \) Submit Answer
Ask by Bird Wells. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The product is \(6.391 \times 10^{6}\).
Solution
Calculate or simplify the expression \( 8300 * 7.7 * 10^2 \).
Calculate the value by following steps:
- step0: Calculate:
\(8300\times 7.7\times 10^{2}\)
- step1: Rewrite the expression:
\(8300\times 77\times 10\)
- step2: Multiply the terms:
\(639100\times 10\)
- step3: Multiply the numbers:
\(6391000\)
The product of 8300 and \(7.7 \times 10^{2}\) expressed in scientific notation is \(6.391000 \times 10^{6}\).
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Simplify this solution Extra Insights
To find the product of 8300 and \( 7.7 \times 10^{2} \), first express 8300 in scientific notation. This can be done as \( 8.3 \times 10^{3} \). Now multiply \( 8.3 \times 10^{3} \) by \( 7.7 \times 10^{2} \). Calculating the numerical parts gives you \( 8.3 \times 7.7 = 63.91 \). For the powers of ten, you add the exponents: \( 3 + 2 = 5 \). So, the product is \( 63.91 \times 10^{5} \). Next, convert \( 63.91 \) into proper scientific notation, which is \( 6.391 \times 10^{1} \). Now combine to get: \[ (6.391 \times 10^{1}) \times 10^{5} = 6.391 \times 10^{6} \] Therefore, the answer in scientific notation is: Answer: \( 6.391 \times 10^{6} \)
