The volume of the Earth is approximately 7.67 × 10⁻⁷ times the volume of the Sun. Express this figure in usual form.

Solution:

Given, the volume of the Earth is approximately 7.67 × 10⁻⁷ times the volume of the Sun.

We have to express the figure in its usual form.

According to the question,

Volume of the Earth = 7.67 × 10⁻⁷ times the volume of the Sun

Using law of exponents,

a⁻ⁿ = 1/aⁿ

So, 10⁻⁷ = 1/10⁷

Now, 7.67 × 10⁻⁷ = 7.67/10⁷

= 7.67/10000000

= 0.000000767

Therefore, the required standard form is 0.000000767.

✦ Try This: The volume of the Mercury is approximately 11.89 × 10⁻¹¹ times the volume of the Sun. Express this figure in usual form.

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 134

The volume of the Earth is approximately 7.67 × 10⁻⁷ times the volume of the Sun. Express this figure in usual form.

Summary:

The volume of the Earth is approximately 7.67 × 10⁻⁷ times the volume of the Sun. Expressing this figure in the usual form, we get 0.000000767.

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