Question

a student needs to convert 0.75 kg to milligrams using dimensional analysis. which of the following is the correct answer? 7.5×10³ mg 7.5×10⁴ mg 7.5×10⁶ mg 7.5×10⁵ mg

Explanation:

Step1: Recall the conversion factor

We know that 1 kg = 1000 g and 1 g= 1000 mg, so 1 kg = 1000×1000 mg=10^{6} mg.

Step2: Convert 0.75 kg to mg

Multiply 0.75 kg by the conversion - factor. So, 0.75 kg×10^{6} mg/kg = 7.5×10^{5} mg.

Answer:

7.5×10^{5} mg