Express each of the following in standard form: Mass of a molecule of hydrogen gas is about 0.00000000000000000000334 tons.

Solution:

Given, the mass of a molecule of hydrogen gas is about 0.00000000000000000000334 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.

0.00000000000000000000334 = 334/10²³

Using law of exponents,

a⁻ⁿ = 1/aⁿ

1/10²³ = 10^-23

So, 334/10²³ = 334 × 10^-23

= 3.34 × 10² × 10^-23

Using law of exponents,

a^m × aⁿ = a^{m + n}

Here, a = 10

m = 2

n = -23

So, m + n = 2 + (-23)

= 2 - 23

= -21

10² × 10^{​​​​​​​-23} = 10^{​​​​​​​-21}

So, 3.34 × 10² × 10^{​​​​​​​-23} = 3.34 × 10^{​​​​​​​-21}

Therefore, the mass of a molecule of hydrogen gas is 3.34 × 10^{​​​​​​​-21} tons.

✦ Try This: Express in standard form: Mass of a molecule of hydrogen gas is about 0.000000000000000000004202 tons.

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

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

Express each of the following in standard form: Mass of a molecule of hydrogen gas is about 0.00000000000000000000334 tons.

Summary:

The mass of a molecule of hydrogen gas in standard form is 3.34 × 10^{​​​​​​​-21} tons.

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