The mass of Venus is about $4.871 \times 10^{21}$ $4.871times10^21$ metric tons. The mass of the sun is about $1.998 \times 20^{27}$ $1.998times20^27$ metric tons. About how many times the mass of Venus is the mass of the sun and give your answer in scientific notation?

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The mass of Venus is about $4.871 \times 10^{21}$ $4.871times10^21$ metric tons. The mass of the sun is about $1.998 \times 20^{27}$ $1.998times20^27$ metric tons. About how many times the mass of Venus is the mass of the sun and give your answer in scientific notation?

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Answer 1 · 2017-09-03T20:46:50

The mass of the Sun is approximately $4.102 \times 10^{5}$ $4.102xx10^5$ times that of Venus

Explanation:

Let the mas of Venus be $v$ $v$
Let the mass of the Sun be $s$ $s$

Let the constant of comparison be $k$ $k$

The question states:

How many times the mass of Venus $\to v \times k =$ $->vxxk=$
is the mass of the Sun $ddddddddd.d \to v \times k = s$ $color(white)("ddddddddd.d")->vxxk=s$

$\Rightarrow 4.871 \times 10^{21} \times k = 1.998 \times 20^{27}$ $=> 4.871xx10^21xxk=1.998xx20^(27)$

$k = \frac{1.998 \times 20^{27}}{4.871 \times 10^{21}}$ $k=(1.998xx20^27)/(4.871xx10^21)$

Important point: The question uses the word 'about' so they are looking for solution that is not precise. Also they do not state the degree of precision to be applied.

$k=0.4101827.... xx10^6$

Write as:

$k=4.101827...xx10^5$

The question presents values to 3 decimal places so we should be quite safe to use the same degree of precision.

State k as $k=4.102xx10^5$ Approximately

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The mass of Venus is about $4.871 \times 10^{21}$ $4.871times10^21$ metric tons. The mass of the sun is about $1.998 \times 20^{27}$ $1.998times20^27$ metric tons. About how many times the mass of Venus is the mass of the sun and give your answer in scientific notation?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

The mass of Venus is about 4.871times10^214.871×10214.871times10^21 metric tons. The mass of the sun is about 1.998times20^271.998×20271.998times20^27 metric tons. About how many times the mass of Venus is the mass of the sun and give your answer in scientific notation?

1 Answer

Explanation:

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Impact of this question

The mass of Venus is about $4.871 \times 10^{21}$ $4.871times10^21$ metric tons. The mass of the sun is about $1.998 \times 20^{27}$ $1.998times20^27$ metric tons. About how many times the mass of Venus is the mass of the sun and give your answer in scientific notation?