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  2. Order of magnitude - Wikipedia

    en.wikipedia.org/wiki/Order_of_magnitude

    So are 1 and 2, 1 and 9, or 1 and 0.2. However, 1 and 15 are not within an order of magnitude, since their ratio is 15/1 = 15 > 10. The reciprocal ratio, 1/15, is less than 0.1, so the same result is obtained. Differences in order of magnitude can be measured on a base-10 logarithmic scale in "decades" (i.e., factors of ten). [2]

  3. Mental calculation - Wikipedia

    en.wikipedia.org/wiki/Mental_calculation

    For example: 24 x 11 = 264 because 2 + 4 = 6 and the 6 is placed in between the 2 and the 4. Second example: 87 x 11 = 957 because 8 + 7 = 15 so the 5 goes in between the 8 and the 7 and the 1 is carried to the 8. So it is basically 857 + 100 = 957. Or if 43 x 11 is equal to first 4+3=7 (For the tens digit) Then 4 is for the hundreds and 3 is ...

  4. Taylor's theorem - Wikipedia

    en.wikipedia.org/wiki/Taylor's_theorem

    It gives simple arithmetic formulas to accurately compute values of many transcendental functions such as the exponential function and trigonometric functions. It is the starting point of the study of analytic functions , and is fundamental in various areas of mathematics, as well as in numerical analysis and mathematical physics .

  5. Small-angle approximation - Wikipedia

    en.wikipedia.org/wiki/Small-angle_approximation

    The linear size (D) is related to the angular size (X) and the distance from the observer (d) by the simple formula: = ″ where ...

  6. Equation - Wikipedia

    en.wikipedia.org/wiki/Equation

    The solutions –1 and 2 of the polynomial equation x 2x + 2 = 0 are the points where the graph of the quadratic function y = x 2x + 2 cuts the x-axis. In general, an algebraic equation or polynomial equation is an equation of the form =, or = [a]

  7. Help:Displaying a formula - Wikipedia

    en.wikipedia.org/wiki/Help:Displaying_a_formula

    This screenshot shows the formula E = mc 2 being edited using VisualEditor.The window is opened by typing "<math>" in VisualEditor. The visual editor shows a button that allows to choose one of three offered modes to display a formula.

  8. Repeating decimal - Wikipedia

    en.wikipedia.org/wiki/Repeating_decimal

    For example, in duodecimal, ⁠ 1 / 2 ⁠ = 0.6, ⁠ 1 / 3 ⁠ = 0.4, ⁠ 1 / 4 ⁠ = 0.3 and ⁠ 1 / 6 ⁠ = 0.2 all terminate; ⁠ 1 / 5 ⁠ = 0. 2497 repeats with period length 4, in contrast with the equivalent decimal expansion of 0.2; ⁠ 1 / 7 ⁠ = 0. 186A35 has period 6 in duodecimal, just as it does in decimal.

  9. Orders of magnitude (length) - Wikipedia

    en.wikipedia.org/wiki/Orders_of_magnitude_(length)

    1.2 cm – diameter of a die; 1.5 cm – length of a very large mosquito; 1.6 cm – length of a Jaragua Sphaero, a very small reptile; 1.7 cm – length of a Thorius arboreus, the smallest salamander [111] 2 cm – approximate width of an adult human finger; 2.54 cm – 1 inch; 3.08568 cm – 1 attoparsec; 3.4 cm – length of a quail egg [112]