Choose one of the scientific numbers from the list and multiply it by 256.7. Show your work

4.82 x 10 power 1

3 answers

To multiply the scientific number \( 4.82 \times 10^1 \) by \( 256.7 \), we will first perform the multiplication on the numerical parts and then combine that with the power of ten.

  1. Start with the scientific number: \[ 4.82 \times 10^1 \]

  2. \( 10^1 \) is equal to 10, so we can write: \[ 4.82 \times 10 = 48.2 \]

  3. Now we will multiply \( 48.2 \) by \( 256.7 \): \[ 48.2 \times 256.7 \]

  4. Performing the multiplication: \[ 48.2 \times 256.7 = 12347.14 \]

  5. Now we can express this result in scientific notation. To convert \( 12347.14 \) to scientific notation, we move the decimal point four places to the left: \[ 1.234714 \times 10^4 \]

Thus, the final result of multiplying \( 4.82 \times 10^1 \) by \( 256.7 \) is: \[ 1.234714 \times 10^4 \]

Just give the answer not a whole essay

The result is \( 1.2347 \times 10^4 \).