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Unformatted text preview: Lecture 4. Expressions, Part I An expression is a written record of a computation. On page 62 of the Common Core Standards , a more elaborate account is given, which points out that the computations may start with numbers or with symbols: adding 3 to 10 is a computation, but so is adding 3 to x , if x is a number. Furthermore what is meant by a computation might be as simple as adding or multiplying, but taking the square root of a number or taking a trigonometric function of a number or stacking numbers in repeated exponents (as in x x x · · · ) is also a computation. Beyond this, computations can be strung together or combined with further computations to make complex, multistep computations. When these things are considered, it is clear that we have not yet provided a definition (in the precise mathematical sense) of the concept of an expression, but have only been dancing around with words....
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- Summer '11