Question

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?

Answer 1

yuh

Answer 2

To find the mass of 1,000 protons in scientific notation, we first need to understand the value displayed by the calculator, which is \( 1.67 \times 10^{-21} \) grams. This value represents the mass of protons.

Since the displayed mass represents the mass of 1 proton in grams, we need to multiply this value by \( 1,000 \) to find the mass of \( 1,000 \) protons.

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

To perform the multiplication, we can rewrite \( 1,000 \) as \( 1.00 \times 10^{3} \):

\[
\text{Mass of 1,000 protons} = 1.00 \times 10^{3} \times 1.67 \times 10^{-21}
\]

Now, we multiply the coefficients and add the exponents:

\[
1.00 \times 1.67 = 1.67
\]

\[
10^{3} \times 10^{-21} = 10^{3 - 21} = 10^{-18}
\]

Now, combining these two results gives:

\[
\text{Mass of 1,000 protons} = 1.67 \times 10^{-18} \text{ grams}
\]

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

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

Answer 3

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