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Chapter 1: Problem 32

Which is the greater mass, \(3257 \mathrm{mg}\) or \(0.000475 \mathrm{kg} ?\) Explain.

Short Answer

Expert verified
After converting the mass units to be the same, it is determined that \(3257 \mathrm{mg}\) is greater than \(0.000475 \mathrm{kg}\).

Step by step solution

01

Conversion to Same Units

It would be easier to convert \(3257 \mathrm{mg}\) to \(\mathrm{kg}\) to make the comparison easier. We know that 1 \(\mathrm{kg}\) equals to \(1,000,000 \mathrm{mg}\), so we can convert \(3257 \mathrm{mg}\) to \(\mathrm{kg}\) by dividing by \(1,000,000\). The operation would be \(3257 \div 1,000,000 = 0.003257 \mathrm{kg}\).
02

Comparing the Converted Masses

Now that both masses are in the same unit (\(\mathrm{kg}\)), comparing them is straightforward. We compare \(0.003257 \mathrm{kg}\) (converted from \(3257 \mathrm{mg}\)) to \(0.000475 \mathrm{kg}\) . We can clearly see that \(0.003257 \mathrm{kg}\) is greater than \(0.000475 \mathrm{kg}\).

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