Express each of the following in standard form: Express 5 tons in g.

Solution:

Given, 5 tons.

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 ton = 100 kg

1 kg = 1000 gm

So, 5 tons = 5 × 100 × 1000

= 5 × 10² × 10³

Using law of exponents,

a^m × aⁿ = a^{m + n}

Here, a = 10

m = 2

n = 3

So, m + n = 2 + 3

= 5

10² × 10³ = 10⁵

So, 5 × 10² × 10³ = 5 × 10⁵

Therefore, the required standard form is 5 × 10⁵ gm.

✦ Try This: Express each of the following in standard form: Express 9 tons in g.

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

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

Express each of the following in standard form: Express 5 tons in g.

Summary:

Expressing 5 tons in grams, in standard form we get 5 × 10⁵ gm using the law of exponents

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