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 answer

To find the mass of 1,000 protons, we can start by understanding the calculator's output: 1.67E - 21 means \(1.67 \times 10^{-21}\) grams.

If this value represents the mass of 1 proton, to find the mass of 1,000 protons, we multiply by 1,000:

\[ \text{Mass of 1,000 protons} = 1,000 \times (1.67 \times 10^{-21}) \]

Calculating this:

\[ 1,000 = 10^3 \]

So,

\[ \text{Mass} = 1.67 \times 10^{-21} \times 10^3 = 1.67 \times 10^{-21 + 3} \]

This simplifies to:

\[ 1.67 \times 10^{-18} \]

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

\[ \boxed{1.67 \times 10^{-18}} \text{ grams.} \]