Question

question
the mass of a gold atom is $3.29 \times 10^{-22}$ grams. the mass of a neutron is $1.68 \times 10^{-24}$ grams. how many times greater is the mass of a gold atom than the mass of a neutron? write your answer in standard notation, rounding to the nearest tenth.
answer attempt 1 out of 2
standard notation
answer:
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Explanation:

Step1: Divide the mass of gold atom by the mass of neutron

To find how many times greater the mass of a gold atom is than the mass of a neutron, we divide the mass of the gold atom by the mass of the neutron. So we have the expression: $\frac{3.29\times 10^{-22}}{1.68\times 10^{-24}}$

Step2: Use the rule of exponents for division ($\frac{a\times10^{m}}{b\times10^{n}}=\frac{a}{b}\times10^{m - n}$)

First, divide the coefficients: $\frac{3.29}{1.68}\approx1.9583$
Then, divide the powers of 10: $10^{-22-(-24)} = 10^{-22 + 24}=10^{2}$
Multiply the two results together: $1.9583\times10^{2}=195.83$

Step3: Round to the nearest tenth

Rounding 195.83 to the nearest tenth gives 195.8

Answer:

195.8