Questions: Part A - Write this large number in scientific notation. 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.

Part A - Write this large number in scientific notation. 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.
Transcript text: Part A - Write this large number in scientific notation. Determine the values of $m$ and $n$ when the following mass of the Earth is written in scientific notation: $5,970,000,000,000,000,000,000,000 \mathrm{~kg}$. Enter $m$ and $n$, separated by commas.
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Solution

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Write the large number in scientific notation and determine the values of \( m \) and \( n \).

Identify the number to convert.

The given number is \( 5,970,000,000,000,000,000,000,000 \, \mathrm{kg} \).

Move the decimal point to create a number between 1 and 10.

Move the decimal point to the left until it is after the first non-zero digit: \( 5.97 \).

Count the number of places the decimal was moved.

The decimal was moved 24 places to the left.

Express the number in scientific notation.

The number in scientific notation is \( 5.97 \times 10^{24} \).

Identify \( m \) and \( n \).

Here, \( m = 5.97 \) and \( n = 24 \).

The values of \( m \) and \( n \) are \( \boxed{5.97, 24} \).

The values of \( m \) and \( n \) are \( \boxed{5.97, 24} \).

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