Question

Question 87:

Express the given information in scientific notation and then arrange them in descending order of their size.

$\begin{array}{ccc}S.N.& NameofthePlanet& Mass\left(inkg\right)\\ 1.& Mercury& 330000000000000000000000\\ 2.& Venus& 4870000000000000000000000\\ 3.& Earth& 5980000000000000000000000\\ 4.& Mars& 642000000000000000000000\\ 5.& Jupiter& 1900000000000000000000000000\\ 6.& Saturn& 569000000000000000000000000\\ 7.& Uranus& 86900000000000000000000000\\ 8.& Neptune& 102000000000000000000000000\\ 9.& Pluto& 13100000000000000000000\end{array}$

Answer 1

A number is written in standard form as $a\times {10}^k,$ where a is terminating decimal and k is an integer.

$\begin{array}{ccc}S.N.& NameofthePlanet& Mass\left(instandardform\right)\\ 1.& Mercury& 3.3\times {10}^{23}\\ 2.& Venus& 4.87\times {10}^{24}\\ 3.& Earth& 5.98\times {10}^{24}\\ 4.& Mars& 6.42\times {10}^{23}\\ 5.& Jupiter& 1.9\times {10}^{27}\\ 6.& Saturn& 5.69\times {10}^{26}\\ 7.& Uranus& 8.69\times {10}^{25}\\ 8.& Neptune& 1.02\times {10}^{26}\\ 9.& Pluto& 1.31\times {10}^{22}\end{array}$
Two numbers written in scientific notation can be compared. The number with the larger power of 10 is greater than the number with the smaller power of 10. If the powers of ten are the same, then the number with larger factor is the larger number.

Hence, the required descending order of the size will be
Jupiter > Saturn > Neptune > Uranus > Earth > Venus > Mars > Mercury > Pluto