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  2. Scientific notation - Wikipedia

    en.wikipedia.org/wiki/Scientific_notation

    In engineering notation, this is written 40 × 10 6 m. In SI writing style, this may be written 40 Mm (40 megametres). An inch is defined as exactly 25.4 mm. Using scientific notation, this value can be uniformly expressed to any desired precision, from the nearest tenth of a millimeter 2.54 × 10 1 mm to the nearest nanometer 2.540 0000 × 10 ...

  3. Significant figures - Wikipedia

    en.wikipedia.org/wiki/Significant_figures

    Likewise 0.0123 can be rewritten as 1.23 × 102. The part of the representation that contains the significant figures (1.30 or 1.23) is known as the significand or mantissa. The digits in the base and exponent (10 3 or 102) are considered exact numbers so for these digits, significant figures are irrelevant.

  4. Round-off error - Wikipedia

    en.wikipedia.org/wiki/Round-off_error

    Round-to-nearest: () is set to the nearest floating-point number to . When there is a tie, the floating-point number whose last stored digit is even (also, the last digit, in binary form, is equal to 0) is used.

  5. Order of magnitude - Wikipedia

    en.wikipedia.org/wiki/Order_of_magnitude

    For a number written in scientific notation, this logarithmic rounding scale requires rounding up to the next power of ten when the multiplier is greater than the square root of ten (about 3.162). For example, the nearest order of magnitude for 1.7 × 10 8 is 8, whereas the nearest order of magnitude for 3.7 × 10 8 is 9.

  6. Rounding - Wikipedia

    en.wikipedia.org/wiki/Rounding

    [nb 2] For instance rounding 9.46 to one decimal gives 9.5, and then 10 when rounding to integer using rounding half to even, but would give 9 when rounded to integer directly. Borman and Chatfield [ 15 ] discuss the implications of double rounding when comparing data rounded to one decimal place to specification limits expressed using integers.

  7. Approximations of π - Wikipedia

    en.wikipedia.org/wiki/Approximations_of_π

    Zu Chongzhi is known to have computed π to be between 3.1415926 and 3.1415927, which was correct to seven decimal places. He also gave two other approximations of π : π ≈ 22 ⁄ 7 and π ≈ 355 ⁄ 113 , which are not as accurate as his decimal result.

  8. Numerical digit - Wikipedia

    en.wikipedia.org/wiki/Numerical_digit

    The ten digits of the Arabic numerals, in order of value. A numerical digit (often shortened to just digit) or numeral is a single symbol used alone (such as "1"), or in combinations (such as "15"), to represent numbers in positional notation, such as the common base 10.

  9. Approximation - Wikipedia

    en.wikipedia.org/wiki/Approximation

    For example, 1.5 × 10 6 means that the true value of something being measured is 1,500,000 to the nearest hundred thousand (so the actual value is somewhere between 1,450,000 and 1,550,000); this is in contrast to the notation 1.500 × 10 6, which means that the true value is 1,500,000 to the nearest thousand (implying that the true value is ...