Question

Question 86:

Express the given information in Scientific notation (standard form) and then arrange them in ascending order of their size.

$\begin{array}{ccc}S.N.& DesertsoftheWorld& Area\left(insqkm\right)\\ 1.& Kalahari,SouthAfrica& 932,400\\ 2.& Thar,India& 199,430\\ 3.& Gibson,Australia& 155,400\\ 4.& GreatVictoria,Australia& 647,500\\ 5.& Sahara,NorthAfrica& 8598,800\end{array}$

Answer 1

1. Area of Kalahari, South Africa [$\because standardforma\times {10}^k$]
$=932400=932400.00=9324\times {10}^2=9.324\times {10}^3\times {10}^2=9.324\times {10}^5$
2. Area of Thar, India
$=199430=199430.00=19943\times {10}^1=1.9943\times {10}^4\times {10}^1=1.9943\times {10}^5$
3. Area of Gibson, Australia
$=155,400=155400.00=1554\times {10}^2=1.554\times {10}^3\times {10}^2=1.554\times {10}^5$
4. Area of Great Victoria, Australia
$=647,500=647500.00=6475\times {10}^2=6.475\times {10}^3\times {10}^5=6.475\times {10}^5$
5. Area of Sahara, North-Africa
$=8,598,800=8598800.00=85988\times {10}^2=8.5988\times {10}^4\times {10}^2=8.5988\times {10}^6$

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 ascending order of the size will be
Gibson, Australia < Thar, India < Great Victoria, Australia < Kalahari, South-Africa < Sahara, North-Africa