To find the mass of 1,000 protons in grams based on the calculator's displayed value of \( 1.67 \times 10^{-21} \) grams, we need to interpret this value correctly.
The value \( 1.67 \times 10^{-21} \) grams represents the mass of a single proton, not the mass of 1,000 protons.
To compute the mass of 1,000 protons, we multiply this value by 1,000:
\[ \text{Mass of 1,000 protons} = 1,000 \times (1.67 \times 10^{-21}) \]
This can be simplified as:
\[ 1,000 = 10^3 \] \[ \text{Mass of 1,000 protons} = 10^3 \times (1.67 \times 10^{-21}) = 1.67 \times 10^{-21} \times 10^3 \]
When multiplying powers of ten, we add the exponents:
\[ 1.67 \times 10^{3 - 21} = 1.67 \times 10^{-18} \]
Therefore, the mass of 1,000 protons in scientific notation is:
\[ 1.67 \times 10^{-18} \text{ grams} \]
So, the complete answer is:
\[ 1.67 \times \boxed{-18} \text{ grams} \]
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