Express each of the following in standard form: Express 56 km in m.

Solution:

Given, 56 km

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.

We know, 1 km = 1000 m

So, 56 km = 56 × 1000

= 5.6 × 10¹ × 10³

Using law of exponents,

a^m × aⁿ = a^{m + n}

Here, a = 10

m = 1

n = 3

So, m + n = 1 + 3

= 4

10¹ × 10³ = 10⁴

So, 5.6 × 10¹ × 10³ = 5.6 × 10⁴

Therefore, the required standard from is 5.6 × 10⁴ m.

✦ Try This: Express each of the following in standard form: Express 20 km in m.

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

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

Express each of the following in standard form: Express 56 km in m.

Summary:

Expressing 56 km in m, in standard form is 5.6 × 10⁴ m using the law of exponents a^m × aⁿ = a^{m + n}

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