Write 39,00,00,000 in the standard form.

Solution:

Given, the number is 39,00,00,000.

We have to write the number in standard form.

Any number can be expressed as decimal numbers between 1 and 10 multiplied by a power of 10. This form of representation is termed as the standard form.

39,00,00,000 = 39 × 10⁷

= 3.9 × 10¹ × 10⁷

Using law of exponents,

a^m × aⁿ = a^{m + n}

Here, a = 10

m = 1

n = 7

So, m + n = 1 + 7

= 8

So, 10¹ × 10⁷ = 10⁸

3.9 × 10¹ × 10⁷ = 3.9 × 10⁸

Therefore, the standard form is 3.9 × 10⁸.

✦ Try This: Write 48,00,00,000 in the standard form.

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

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NCERT Exemplar Class 8 Maths Chapter 8 Problem 106

Write 39,00,00,000 in the standard form.

Summary:

The standard form of 39,00,00,000 is 3.9 × 10⁸ using the law of exponents a^m × aⁿ = a^{m + n}

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☛ Related Questions:

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