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Question 86:

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

S.N. Deserts of the WorldArea(in sq km) 1.Kalahari, South Africa 932,400 2.Thar, India 199,430 3.Gibson, Australia 155,400 4.Great Victoria, Australia 647,500 5.Sahara, North Africa 8598,800

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Solution

1. Area of Kalahari, South Africa [standard form a×10k]
=932400=932400.00=9324×102=9.324×103×102=9.324×105
2. Area of Thar, India
=199430=199430.00=19943×101=1.9943×104×101=1.9943×105
3. Area of Gibson, Australia
=155,400=155400.00=1554×102=1.554×103×102=1.554×105
4. Area of Great Victoria, Australia
=647,500=647500.00=6475×102=6.475×103×105=6.475×105
5. Area of Sahara, North-Africa
=8,598,800=8598800.00=85988×102=8.5988×104×102=8.5988×106

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


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