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Chapter 1: Problem 53

Express the following with appropriate units and significant figures: (a) \(1.0 \mathrm{m}\) plus \(1 \mathrm{mm},\) (b) \(1.0 \mathrm{m}\) times \(1 \mathrm{mm},\) (c) \(1.0 \mathrm{m}\) minus \(999 \mathrm{mm},\) (d) \(1.0 \mathrm{m}\) divided by \(999 \mathrm{mm}\).

Short Answer

Expert verified
(a) 1001 mm, (b) 1000 mm², (c) 1 mm, (d) 1.001

Step by step solution

01

Convert units and solve (a)

First, convert 1.0m to millimeters, which is 1000mm. It is a straightforward conversion as 1m = 1000mm. Then add 1.0mm to the result. This gives 1001mm.
02

Convert units and solve (b)

Here, no conversion is required as the multiplication of different units leads to a new unit. Therefore, multiplying 1.0m (or 1000mm) and 1.0mm, we get 1000 mm².
03

Convert units and solve (c)

Convert 1.0m to millimeters, which is 1000mm, and subtract 999mm from the result. The answer is 1mm.
04

Convert units and solve (d)

As it is a division, the units should be same. So convert 1.0m to 1000mm. Then divide 1000mm by 999mm which gives the result as 1.001.

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