Order Of Magnitude

Question

The distance between the Sun and Earth is approximately 1.5 × 10¹± m. What is its order of magnitude?

RankGuru · Accepted Answer

1. **Definition**: The order of magnitude is the power of 10 that is closest to the numerical value of a measurement.
2. **Rule**: Represent the number as $n 	imes 10^x$. If $0.5 < n \le 5$, the order is $10^x$. If $5 < n \le 50$, the order is $10^{x+1}$.
3. **Application**: The value is $1.5 	imes 10^{11}$.
4. **Assessment**: Since $1.5$ is within the range $(0.5, 5]$, we keep the exponent as is.
5. **Result**: The order of magnitude is **$10^{11}$ m**.

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Order Of Magnitude

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