Exploration of roots as the inverse of exponents. Includes description of how the laws of roots mirror the laws of exponents, since expressions involving roots can be rewritten as expressions with rational exponents.
Explanation of logarithms: what are they, when are they useful, in what ways can logarithmic expressions be rewritten (laws of logarithms), and descriptions of the most common situations in which they are likely to be encountered or needed.
Inverse Musings: * and /
Inverse operations and functions are wonderful things. Without them, solving equations would be much more challenging. Yet inverse operations can also be odd beasts. My previous “inverses” post pondered addition and subtraction, which led us (as young students) to expand our initial universe of counting numbers into the integers. Addition and subtraction are operations that…… Continue reading Inverse Musings: * and /
When faced with an algebraic expression or equation, there are only two types of things you can do to it without changing the quantitative relationship that it describes. Re-write one or more terms in an equivalent form This can be done to any expression (no equal sign) or equation (with an equal sign) at any…… Continue reading Summary: Algebra
Inverse Musings: + and –
Inverse operations and functions are wonderful things. Without them, solving equations would be much more challenging. Yet inverse operations can also be odd beasts. This is the first of several postings on operations/functions and their inverses. Addition The first arithmetic operation we all learned was addition. It seems to arise fairly naturally from the counting…… Continue reading Inverse Musings: + and –