On our own planet Earth, 361,419,000 square kilometers of area is covered with water and 148,647,000 square kilometers of area is covered by land. Find the approximate ratio of area covered with water to area covered by land by converting these numbers into scientific notation
Solution:
Given, area covered with water = 361,419,000 sq km
Area covered by land = 148,647,000 sq km
We have to find the approximate ratio of area covered with water to area covered by land by converting these numbers into scientific notation.
Area covered with water = 361,419,000
= 361,419 × 10³
= 3.61419 × 10⁵ × 10³
For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,
am × an = am+n
= 3.61419 × 105 + 3
Area covered with water = 3.61419 × 10⁸ sq km
Area covered by land = 148,647,000
= 148647 × 10³
= 1.48647 × 10⁵ × 10³
= 1.48647 × 105 + 3
Area covered by land = 1.48647 × 10⁸ sq km
Ratio of area of water to area of land = 3.61419 × 10⁸/1.48647 × 10⁸
= 3.61419/1.48647
= 3.6/1.5
= 12/5
Therefore, the required ratio is 12:5
✦ Try This: There are 86400 sec in a day. How many days long is a second? Express your answer in scientific notation
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13
NCERT Exemplar Class 7 Maths Chapter 11 Problem 89
On our own planet Earth, 361,419,000 square kilometers of area is covered with water and 148,647,000 square kilometers of area is covered by land. Find the approximate ratio of area covered with water to area covered by land by converting these numbers into scientific notation
Summary:
On our own planet Earth, 361,419,000 square kilometers of area is covered with water and 148,647,000 square kilometers of area is covered by land. The approximate ratio of area covered with water to area covered by land by converting these numbers into scientific notation is 12:5.
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