Dina computed the mass of 1,000 protons in grams. The calculator displayed the number 1.67E - 21. What is the mass of 1,000 protons in scientific notation?

(1 point)
1.67 X
grams

1 answer

To find the mass of 1,000 protons in scientific notation, we need to convert the calculator's result from standard notation to scientific notation. The calculator displayed 1.67E - 21, which indicates \(1.67 \times 10^{-21}\) grams.

To compute the mass of 1,000 protons:

  1. The mass of one proton is approximately \(1.67 \times 10^{-27}\) grams.
  2. Therefore, for 1,000 protons, we multiply the mass of one proton by 1,000:

\[ 1,000 \times (1.67 \times 10^{-27}) = 1.67 \times 10^{-24} \text{ grams} \]

Thus, the mass of 1,000 protons in scientific notation is:

\[ 1.67 \times 10^{-24} \text{ grams} \]

So the answer is:

1.67 X 10^-24 grams