Express each of the following in standard form: Express 5 hectares in cm² (1 hectare = 10000 m²)

Solution:

Given, 5 hectares

We have to write 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.

Given, 1 hectare = 10000 m²

We know, 1 m = 100 cm

So, 1 m² = 10000 cm²

Now, 5 hectares = 5 × 10000 × 10000

= 5 × 10⁴ × 10⁴

Using law of exponents,

a^m × aⁿ = a^{m + n}

Here, a = 10

m = 4

n = 4

So, m + n = 4 + 4

= 8

10⁴ × 10⁴ = 10⁸

So, 5 × 10⁴ × 10⁴ = 5 × 10⁸

Therefore, the required standard form is 5 × 10⁸ cm².

✦ Try This: Express each of the following in standard form: Express 4 hectares in cm².

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

NCERT Exemplar Class 8 Maths Chapter 8 Problem 115(h)

Express each of the following in standard form: Express 5 hectares in cm² (1 hectare = 10000 m²)

Summary:

Expressing 5 hectares in cm², in standard form we get 5 × 10⁸ cm² using the law of exponents

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