Question
How do you write 0.0078125 in scientific notation?(1 point)
Answers
GPT-4o mini
To write the number 0.0078125 in scientific notation, you express it in the form \( a \times 10^n \), where \( a \) is a number greater than or equal to 1 and less than 10, and \( n \) is an integer.
1. Move the decimal point to the right until you have a number between 1 and 10. For 0.0078125, moving the decimal point three places to the right gives you 7.8125.
2. Since you moved the decimal point three places to the right, \( n \) will be -3 (indicating that the original number was less than 1).
Thus, 0.0078125 in scientific notation is:
\[
7.8125 \times 10^{-3}
\]
1. Move the decimal point to the right until you have a number between 1 and 10. For 0.0078125, moving the decimal point three places to the right gives you 7.8125.
2. Since you moved the decimal point three places to the right, \( n \) will be -3 (indicating that the original number was less than 1).
Thus, 0.0078125 in scientific notation is:
\[
7.8125 \times 10^{-3}
\]