Question
The amount of time it takes for light to travel one mile is 5.3×-10-6 second.
What is 5.3 ×10-6 written in standard form?
What is 5.3 ×10-6 written in standard form?
Answers
GPT-4o mini
To write \( 5.3 \times 10^{-6} \) in standard form, you need to express it as a decimal.
The scientific notation \( 10^{-6} \) indicates that you move the decimal point 6 places to the left.
Starting with \( 5.3 \):
1. Move the decimal 6 places to the left:
- Move it 1 place: \( 0.53 \)
- Move it 2 places: \( 0.053 \)
- Move it 3 places: \( 0.0053 \)
- Move it 4 places: \( 0.00053 \)
- Move it 5 places: \( 0.000053 \)
- Move it 6 places: \( 0.0000053 \)
Thus, \( 5.3 \times 10^{-6} \) in standard form is \( 0.0000053 \).
The scientific notation \( 10^{-6} \) indicates that you move the decimal point 6 places to the left.
Starting with \( 5.3 \):
1. Move the decimal 6 places to the left:
- Move it 1 place: \( 0.53 \)
- Move it 2 places: \( 0.053 \)
- Move it 3 places: \( 0.0053 \)
- Move it 4 places: \( 0.00053 \)
- Move it 5 places: \( 0.000053 \)
- Move it 6 places: \( 0.0000053 \)
Thus, \( 5.3 \times 10^{-6} \) in standard form is \( 0.0000053 \).