Express each of the following in standard form: Express 2 years in seconds.

Solution:

Given, 2 years.

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 year = 365 days

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds

So, 2 years = 2 × 365 × 24 × 60 × 60

= 63072000 seconds

= 63072 × 10³

= 6.3072 × 10⁴ × 10³

Using law of exponents,

a^m × aⁿ = a^{m + n}

Here, a = 10

m = 4

n = 3

So, m + n = 4 + 3

= 7

10⁴ × 10³ = 10⁷

So, 6.3072 × 10⁴ × 10³ = 6.3072 × 10⁷

Therefore, the required standard form is 6.3072 × 10⁷ seconds.

✦ Try This: Express each of the following in standard form: Express 4 years in seconds.

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

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

Express each of the following in standard form: Express 2 years in seconds.

Summary:

Expressing 2 years in seconds, in standard form we get 6.3072 × 10⁷ seconds

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