Question

the mass of a sample is 7.60×10⁻⁴ kg. what is the mass in mg?
○ 7.60×10² mg
○ 7.60×10⁻¹ mg
○ 7.60×10⁶ mg
○ 7.60×10⁻¹⁰ mg

Explanation:

Step1: Recall unit conversion factor

We know that \(1\space kg = 1000\space g\) and \(1\space g=1000\space mg\), so \(1\space kg = 10^{3}\times10^{3}\space mg=10^{6}\space mg\).

Step2: Convert kg to mg

Given mass is \(7.60\times 10^{-4}\space kg\). To convert to mg, multiply by \(10^{6}\space mg/kg\).

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Answer:

\(7.60\times10^{2}\space mg\) (corresponding to the first option: \(7.60\times10^{2}\space mg\))