UpStudy Free Solution:

To express 93 million miles in scientific notation, follow these steps:

1. Write the number in standard form: 93,000,000.

2. Move the decimal point so that there is only one non-zero digit to the left of the decimal point. For 93,000,000, this would be 9.3.

3. Count the number of places the decimal point has moved. In this case, it moves 7 places to the left.

Therefore, 93 million miles in scientific notation is:

\[9.3 \times 10^ 7\]

So, the distance from the Earth to the sun in scientific notation is \(9.3 \times 10^ 7\) miles.

Supplemental Knowledge

Scientific notation is a powerful tool for simplifying the representation and calculation of very large or very small numbers. It is widely used in scientific disciplines to make data more manageable.

Key Concepts:

1. Scientific Notation Format: A number in scientific notation is written as \(a \times 10^ n\), where:

- \(a\) (the coefficient) is a number greater than or equal to 1 and less than 10.

- \(n\) (the exponent) indicates how many places the decimal point has been moved.

2. Steps to Convert to Scientific Notation:

- Identify the significant digits of the number.

- Place the decimal point after the first non-zero digit.

- Count how many places you moved the decimal point to determine the exponent \(n\).

- If you move the decimal point to the left, \(n\) is positive; if you move it to the right, \(n\) is negative.

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