Questions: The sun is approximately 93 million miles from earth Write this number in scientific notation

The sun is approximately 93 million miles from earth Write this number in scientific notation
Transcript text: The sun is approximately 93 million miles from earth Write this number in scientific notation
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Solution

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Solution Steps

Step 1: Understand the problem

The question asks to express the distance of the sun from Earth, which is approximately 93 million miles, in scientific notation. The options provided are:

  1. \(9.3 \times 10^{6} \, \mathrm{mi}\)
  2. \(0.3 \times 10^{7} \, \mathrm{mi}\)
  3. \(9.3 \times 10^{-7} \, \mathrm{mi}\)
  4. \(03 \times 10^{6} \, \mathrm{mi}\)
Step 2: Convert 93 million to scientific notation

93 million can be written as \(93,000,000\). In scientific notation, this is expressed as \(9.3 \times 10^{7}\), because the decimal point is moved 7 places to the left to get 9.3.

Step 3: Compare with the given options

The correct scientific notation for 93 million miles is \(9.3 \times 10^{7}\). However, this exact option is not listed. The closest option is \(9.3 \times 10^{6}\), which is incorrect because the exponent should be 7, not 6.

Final Answer

The correct scientific notation for 93 million miles is \(\boxed{9.3 \times 10^{7} \, \mathrm{mi}}\). However, since this option is not provided, none of the given options are correct.

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