Express each of the following in standard form: The mass of a proton in gram is 1673/1000000000000000000000000000

Solution:

Given, the mass of a proton in gram is 1673/1000000000000000000000000000

We have to express the mass 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.

1673/1000000000000000000000000000 = 1673/10²⁷

Using law of exponents,

a⁻ⁿ = 1/aⁿ

1/10²⁷ = 10^-27

Now, 1673/10²⁷ = 1673 × 10^-27

= 1.673 × 10³ × 10^-27

Using law of exponents,

a^m × aⁿ = a^{m + n}

Here, a = 10

m = 3

n = -27

So, m + n = 3 + (-27)

= 3 - 27

= -24

10³ × 10^{​​​​​​​-27} = 10^{​​​​​​​-24}

So, 1.673 × 10³ × 10^{​​​​​​​-27} = 1.673 × 10^{​​​​​​​-24} gm.

Therefore, the mass of a proton is 1.673 × 10^{​​​​​​​-24} gm.

✦ Try This: Express in standard form: The mass of a proton in gram is 1234/1000000000000000000000000000

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

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

Express each of the following in standard form: The mass of a proton in gram is 1673/1000000000000000000000000000

Summary:

The mass of a proton in standard form is 1.673 × 10^{​​​​​​​-24} gm using the law of exponents

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