Questions: 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
Solution
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:
\(9.3 \times 10^{6} \, \mathrm{mi}\)
\(0.3 \times 10^{7} \, \mathrm{mi}\)
\(9.3 \times 10^{-7} \, \mathrm{mi}\)
\(03 \times 10^{6} \, \mathrm{mi}\)
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.