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

Solution:

Given, the table represents the deserts of the world and their size

We have to express it in scientific notation and arrange them in ascending order of their size.

Area of Kalahari, South Africa = 932,400 sq km

= 9324 × 10²

= 9.324 × 10³ × 10²

For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,

a^m × aⁿ = a^m+n

Now, 10³ × 10² = 10^{3 + 2} = 10⁵

Now, 9.324 × 10³ × 10² = 9.324 × 10⁵ sq km

Area of Thar, India = 199430 sq km

= 19943 × 10¹

= 1.9943 × 10⁴ × 10¹

= 1.9943 × 10^{4 + 1}

= 1.9943 × 10⁵ sq km

Area of Gibson, Australia = 155,400 sq km

= 1554 × 10²

= 1.554 × 10³ × 10²

= 1.554 × 10^{3 + 2}

= 1.554 × 10⁵ sq km

Area of Great Victoria, Australia = 647,500 sq km

= 6475 × 10²

= 6.475 × 10³ × 10²

= 6.475 × 10^{3 + 2}

= 6.475 × 10⁵ sq km

Area of Sahara, North Africa = 8598800 sq km

= 85988 × 10²

= 8.5988 × 10⁴ × 10²

= 8.5988 × 10^{4 + 2}

= 8.5988 × 10⁶ sq km

Ascending(Increasing) order is the arrangement of the given numbers from the smallest to the largest.

1.554 × 10⁵ < 1.9943 × 10⁵ < 6.475 × 10⁵ < 9.324 × 10⁵ < 8.5988 × 10⁶

Therefore, Gibson, Australia < Thar, India < Great Victoria, Australia < Kalahari, South Africa < Sahara, North Africa.

✦ Try This: According to an estimation, Indian railways transports approximately 1 crore 30 lakhs people from one place to another daily. How many people travel by train in 30 days ? Write your answer in standard form

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

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NCERT Exemplar Class 7 Maths Chapter 11 Problem 86

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

Summary:

The given information in scientific notation is expressed as

Area of Kalahari, South Africa = 9.324 × 10⁵ sq km

Area of Thar, India = 1.9943 × 10⁵ sq km

Area of Gibson, Australia = 1.554 × 10⁵ sq km

Area of Great Victoria, Australia = 6.475 × 10⁵ sq km

Area of Sahara, North Africa = 8.5988 × 10⁶ sq km

The given information in ascending order of their size is Gibson, Australia < Thar, India < Great Victoria, Australia < Kalahari, South Africa < Sahara, North Africa.

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