Calcist

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Guides

Short, plain-English explanations of the math behind the calculators, with worked examples you can check.

  • Order of operations (PEMDAS)
    The order of operations in plain English: parentheses, exponents, multiply and divide left to right, add and subtract left to right. Worked examples and the common traps.
  • Degrees and radians
    What degrees and radians are, how to convert between them (multiply by π/180 or 180/π), a table of common angles, and why your calculator gives the wrong sine in the wrong mode.
  • How to graph a function
    How to graph a function by hand and with a graphing calculator: make a table of values, find the intercepts, plot and join the points. Worked examples for a line and a parabola.
  • How loan payments are calculated
    The loan payment formula in plain English, a worked example for a $200,000 mortgage at 6% for 30 years ($1,199.10 a month), and why most of the early payments go to interest.
  • Binary, decimal and hexadecimal
    How binary (base 2), decimal (base 10) and hexadecimal (base 16) work, how to convert between them by hand, a 0–15 table, and what two's complement means for negative numbers.

Also: the history of the calculator.