Write the number of seconds in scientific notation

Solution:

Given, the table represents the value in seconds

We have to express it in scientific notation

1 minute = 60

= 6 × 10¹

1 hour = 3600

= 36 × 10²

= 3.6 × 10² × 10¹

For any non-zero integers ‘a’ and ‘b’ and whole numbers m and n,

a^m × aⁿ = a^m+n

= 3.6 × 10^{2 + 1}

= 3.6 × 10³

1 day = 86400

= 864 × 10²

= 8.64 × 10² × 10²

= 8.64 × 10^{2 + 2}

= 8.64 × 10⁴

1 month = 2600000

= 26 × 10⁵

= 2.6 × 10¹ × 10⁵

= 2.6 × 10^{1 + 5}

= 2.6 × 10⁶

1 year = 32000000

= 32 × 10⁶

= 3.2 × 10¹ × 10⁶

= 3.2 × 10^{1 + 6}

= 3.2 × 10⁷

10 years = 320000000

= 32 × 10⁷

= 3.2 × 10¹ × 10⁷

= 3.2 × 10^{1 + 7}

= 3.2 × 10⁸

✦ Try This: Distance of the sun from the earth is approximately 15,00,00,00 km. Express this distance in scientific notations

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 13

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NCERT Exemplar Class 7 Maths Chapter 11 Problem 88

Write the number of seconds in scientific notation

Summary:

The given information is expressed in scientific notation as

I minute = 6 × 10¹

1 hour = 3.6 × 10³

1 day = 8.64 × 10⁴

1 month = 2.6 × 10⁶

1 year = 3.2 × 10⁷

10 years = 3.2 × 10⁸

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