Question

earth is 92,960,000 miles from the sun. how is this number written in scientific notation? a $9.296 \times 10^{-7}$ b $9.296 \times 10^{7}$ c $9.296 \times 10^{8}$ d $92.96 \times 10^{6}$

Explanation:

Step1: Recall scientific notation rules

Scientific notation is in the form \( a \times 10^n \), where \( 1 \leq |a| < 10 \) and \( n \) is an integer.

Step2: Convert 92,960,000 to scientific notation

Move the decimal point 7 places to the left to get \( a = 9.296 \). Since we moved the decimal 7 places to the left, \( n = 7 \). So, \( 92,960,000 = 9.296 \times 10^7 \).

Answer:

B. \( 9.296 \times 10^7 \)