Pregunta
Write the number 6,300 in scientific notation. Answer Attemptr out of 2 Answer: \( \square \times 10 \square \) Submit Answer
Ask by Daniels Bird. in the United States
Mar 11,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\(6.3 \times 10^3\)
Solución
1. Write \(6300\) as a decimal number:
Insert the decimal point after the first nonzero digit, which gives \(6.3\).
2. Determine the power of 10:
Since the decimal has been moved 3 places to the left from \(6300\), the exponent is \(3\).
3. Write the final answer in scientific notation:
\(6.3 \times 10^3\).
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Beyond the Answer
To express 6,300 in scientific notation, we first need to write it as a number between 1 and 10, which is 6.3. Then, we determine how many places we moved the decimal point to the left, which is 3. So, we can write it as \( 6.3 \times 10^3 \). Now, if you're ever confused about the decimal movement in scientific notation, just remember: moving to the left gives you a positive exponent, and moving to the right gives you a negative exponent! Keep that little trick in mind, and you’ll ace your scientific notation every time!

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