हिंदी

Express the given information in Scientific notation (standard form) and then arrange them in ascending order of their size. Sl.No. Deserts of the World Area (Sq. Kilometres) - Mathematics

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प्रश्न

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

Sl.No. Deserts of the World Area (Sq. Kilometres)
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 8,598,800
योग

उत्तर

1. Area of Kalahari, South Africa = 932,400

= 932400.00  ......[∴ Standard form a × 10k]

= 9324 × 102 

= 9.324 × 103 × 102 

= 9.324 × 106

2. Area of Thar, India = 199,430

= 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 × 10

= 1.554 × 105

4. Area of Great Victoria, Australia = 647,500

= 647500.00

= 6475 × 102 

= 6.475 × 103 × 105 

= 6475 × 105

5. Area of Sahara, North-Africa = 8,598,800

= 8598800.00

= 85988 × 102 

= 8.5988 × 104 × 102 

= 85988 × 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, 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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अध्याय 11: Exponents and Powers - Exercise [पृष्ठ ३४७]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
अध्याय 11 Exponents and Powers
Exercise | Q 86. | पृष्ठ ३४७
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