Question

Determine the values of m and n when the following mass of the Earth is written in scientific notation: 5,970,000,000,000,000,000,000,000 kg. Enter m and n, separated by commas.

Answer 1

Answer: 5.97, 24

m = 5.97

n = 24

SN = 5.97 × 10^24 kg

Explanation:

Scientific notation or standard form is a way of rewriting very large or very small (minute) numbers in conveniently in decimal form. The standard way of writing scientific notation is of the form;

m × 10^n

To derive m, we need to reduce it to a number between 1 and 10 ( 10 exclusive)

For the case above ;

m = 5.97

To get the value of n, we need to count the number of digits from the right egde of the data to the point where we put the decimal.

For the case above;

n = 24

Therefore, the scientific notation of the mass of the earth is ;

M = 5.97 × 10^24 kg

Answer 2

The scientific notation for the given value of mass is  $5.970 \times 10^{24}$. Such that the value of m is 5.970 and value of n is $10^{24}$.

Given data:

The mass of Earth in scientific notation is, 5,970,000,000,000,000,000,000,000.

The given problem can be resolved using the core concept of scientific notation. Generally, a scientific notation provides a standard way to rewrite very large or very small numbers in decimal format. The standard method to represent the scientific notation is,

$=m \times 10^{n}$

Here, m and n are the constant random variables.

Representing the given value of mass to scientific notation as,

$=5,970,000,000,000,000,000,000,000\\=5,970 \times 10^{21}\\=5.970 \times 10^{3} \times 10^{21}\\=5.970 \times 10^{24}$

So,

$m = 5.970\\\\n=10^{24}$

From the above result, we can conclude that the scientific notation for the given value of mass is  $5.970 \times 10^{24}$. Such that the value of m is 5.970 and value of n is $10^{24}$.

Learn more about the scientific notation here:

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