To find the mass of 1,000 protons in scientific notation, we can interpret the calculator's display of \(1.67 \times 10^{-21}\) grams as the mass of a single proton.
The mass of one proton is approximately \(1.67 \times 10^{-24}\) grams (since \(1.67 \times 10^{-21}\) represents the mass of 1,000 protons).
To find the mass of 1,000 protons, we multiply the mass of one proton by 1,000:
\[ \text{Mass of 1,000 protons} = 1,000 \times (1.67 \times 10^{-24}) \]
Calculating this gives:
\[ 1,000 \times 1.67 = 1.67 \times 10^{3} \]
So the proper representation in scientific notation can be expressed as:
\[ 1.67 \times 10^{3} \times 10^{-24} = 1.67 \times 10^{-21} \]
To summarize, the mass of 1,000 protons in scientific notation is:
\[ 1.67 \times 10^{-21} \text{ grams} \]
Therefore, the answer is:
\[ 1.67 \times 10^{-21} \text{ grams} \]
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