Use this worksheet to record your answers to the Scientific Notation portfolio activities. There are 3 parts, so make sure you scroll down to see all of them. When you are finished, save your worksheet with your answers and submit it for a portfolio grade. By showing your work, we are asking you to write the equation and then solve and write the answer.
Part 1: Use the following numbers.
3.2 ✕ 10^4 1.95 ✕ 10^6 8.03 ✕ 10^-8 2.56 ✕ 10^-2 4.82 ✕ 10^12
Choose two of the scientific numbers from the list and add them. Show your work.
Choose two of the scientific numbers from the list and subtract them. Show your work.
Choose two of the scientific numbers from the list and multiply them. Show your work.
Choose two of the scientific numbers from the list and divide them. Show your work.
Choose one of the scientific numbers from the list and add it to 32.8. Show your work.
Choose one of the scientific numbers from the list and multiply it by 256.7. Show your work.
Part 1:
Adding 1.95 ✕ 10^6 and 4.82 ✕ 10^12:
\(1.95 \times 10^6 + 4.82 \times 10^12 = 1.95 \times 10^6 + 0.00000000000482 \times 10^12 = 1.95 \times 10^6 + 482,000,000,000 = 482,001,950,000\)
Subtracting 8.03 ✕ 10^-8 from 3.2 ✕ 10^4:
\(3.2 \times 10^4 - 8.03 \times 10^{-8} = 32,000 - 0.0000000803 = 31,999.9999999197\)
Multiplying 2.56 ✕ 10^-2 and 4.82 ✕ 10^12:
\(2.56 \times 10^{-2} \times 4.82 \times 10^{12} = 0.0256 \times 482,000,000,000 = 12,371,200,000\)
Dividing 2.56 ✕ 10^-2 by 1.95 ✕ 10^6:
\(\frac{2.56 \times 10^{-2}}{1.95 \times 10^6} = \frac{0.0256}{1,950,000} = 0.0000000131282051282 \times 10^1 = 1.31282051282 \times 10^{-8}\)
Adding 4.82 ✕ 10^12 to 32.8:
\(4.82 \times 10^{12} + 32.8 = 482,000,000,000,032.8\)
Multiplying 3.2 ✕ 10^4 by 256.7:
\(3.2 \times 10^4 \times 256.7 = 32,000 \times 256.7 = 8,211,200\)