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Express the following number in standard form: 24 billion

Solution:

Given, the number is 24 billion

We have to express the number in standard form.

Any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by a power of 10.

Such a form of a number is called its standard form or scientific notation.

For standard form,

24 billion = 24,00,00,00,000

= 24 × 10⁹

= 2.4 × 10 × 10⁹

Considering 10 × 10⁹,

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

a^m × aⁿ = a^{m + n}

Here, a = 10, m = 1 and n = 9

m + n = 1 + 9

= 10

10 × 10⁹ = 10¹⁰

So, 24 billion = 2.4 × 10¹⁰

Therefore, the required value is 2.4 × 10¹⁰.

✦ Try This: Express the following number in standard form: 4 billion

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

NCERT Exemplar Class 7 Maths Chapter 11 Problem 82 (d)

Summary:

On expressing the number 24 billion in standard form we get 2.4 × 10¹⁰

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