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Chapter1SumAdd1 - Chapter 1 Additional Notes We want to...

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Chapter 1 Additional Notes We want to re-express a physical quantity into a different form (in terms of different units) without changing the physical meaning of the expression. There is two ways we can do this. The first is by adding zero to an expression
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For example: x = A = 0 + A = A + 0 By adding zero we do not change the expression, this can always be done in interesting ways x = A + 3 3 = A + 5 5 = A + B B This is a common trick for completing the square when trying to factorize a polynomial
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The second way is by multiplying by 1. x = A = 1 × A = A × 1 Again by multiplying by 1 we do not change the expression. How is this helpful when changing units? When comparing units, these are usually given as a equality meaning that the two sets of units are equivalent to each other. Since these are equivalent, dividing both sides by one of them will make that ratio of the units equal to one.
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For example 1m = 3.28ft. So if we are given something in meters that we want to convert to feet then we divide both sides by 1m, this gives
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