Some migratory birds travel as much as 15,000 km to escape the extreme climatic conditions at home. Write the distance in metres using scientific notation.

Solution:

Given, birds travel as much as 15,000 km to escape the extreme climatic conditions at home.

We have to write the distance in metres using scientific notation.

Total distance travelled by birds = 15,000 km

We know, 1 km = 1000 m

Distance = 15000 × 1000

= 15 × 10³ × 10³

Using law of exponents,

a^m × aⁿ = a^{m + n}

Here, a = 10

m = 3

n = 3

So, m + n = 3 + 3

= 6

So, 10³ × 10³ = 10⁶

15 × 10³ × 10³ = 15 × 10⁶

= 1.5 × 10¹ × 10⁶

Using law of exponents,

a^m × aⁿ = a^{m + n}

Here, a = 10

m = 1

n = 6

So, m + n = 1 + 6

= 7

So, 10¹ × 10⁶ = 10⁷

1.5 × 10¹ × 10⁶ = 1.5 × 10⁷

Therefore, the required distance is 1.5 × 10⁷ m.

✦ Try This: Some migratory birds travel as much as 19,000 km to escape the extreme climatic conditions at home. Write the distance in metres using scientific notation.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

NCERT Exemplar Class 8 Maths Chapter 8 Problem 110

Some migratory birds travel as much as 15,000 km to escape the extreme climatic conditions at home. Write the distance in metres using scientific notation.

Summary:

Some migratory birds travel as much as 15,000 km to escape the extreme climatic conditions at home. The distance in metres using scientific notation is 1.5 × 10⁷ m.

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