Question

earth is 92,960,000 miles from the sun.
how is this number written in scientific notation?
a
9.296 × 10⁻⁷
b
9.296 × 10⁷
c
9.296 × 10⁶
d
92.96 × 10⁶

Explanation:

Step1: Recall scientific notation rules

Scientific notation is in the form \(a\times10^{n}\), where \(1\leq|a|\lt10\) and \(n\) is an integer. The number given is \(92960000\).

Step2: Convert to scientific notation

To get \(a\) between 1 and 10, we move the decimal point 7 places to the left: \(92960000 = 9.296\times10^{7}\)? Wait, no, wait. Wait, the number is 92,960,000? Wait, no, the problem says Earth is 92,960,000 miles from the sun? Wait, no, looking at the options, option B is \(9.296\times10^{7}\)? Wait, no, the options: A is \(9.296\times10^{-7}\), B is \(9.296\times10^{7}\), C is \(9.296\times10^{6}\), D is \(92.96\times10^{6}\). Wait, let's do it correctly. The number is 92,960,000. Let's write it as \(a\times10^{n}\). Move the decimal from the end (after the last 0) to between 9 and 2: that's 7 places. So \(9.296\times10^{7}\). Wait, but let's check the options. Option B is \(9.296\times10^{7}\). Wait, but let's re - check. Wait, 92,960,000: \(92960000=9.296\times10^{7}\) (because \(10^{7}=10000000\), and \(9.296\times10000000 = 92960000\)). Wait, but maybe I misread the number. Wait, the problem says "Earth is 92,960,000 miles from the sun". So converting to scientific notation:

• Start with 92960000.
• Move the decimal point 7 places to the left to get \(9.296\) (since \(92960000 = 9.296\times10^{7}\)).

Wait, but let's check the options again. Option B is \(9.296\times10^{7}\), so that's the correct one.

Answer:

B. \(9.296\times10^{7}\)