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Chapter 2: Problem 30

[ Express \(0.025 \mathrm{~m}\) in millimeters \((1 \mathrm{~mm}=0.001 \mathrm{~m})\).

Short Answer

Expert verified
The given length, expressed in millimeters, is \(25\mathrm{~mm}\).

Step by step solution

01

Identify the conversion factor

We are given the conversion factor \(1 \mathrm{~mm} = 0.001 \mathrm{~m}\). We will use this to convert the given length from meters to millimeters.
02

Convert the given length to millimeters

We have the length \(0.025 \mathrm{~m}\) and need to convert it to millimeters. To do that, we will multiply the given length by the appropriate conversion factor. Since we want to cancel out meters and be left with millimeters, we will use \(\frac{1 \mathrm{~mm}}{0.001 \mathrm{~m}}\) as our conversion factor. $$ 0.025\mathrm{~m} \times \frac{1\mathrm{~mm}}{0.001\mathrm{~m}} $$
03

Perform the calculation

Now, we can cancel out the meters and perform the calculation: $$ \frac{0.025\cancel\mathrm{~m}}{1} \times \frac{1\mathrm{~mm}}{0.001\cancel\mathrm{~m}} = \frac{0.025}{0.001}\, \mathrm{~mm} $$ $$ = 25\mathrm{~mm} $$
04

Write the final answer

The given length, expressed in millimeters, is \(25\mathrm{~mm}\).

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