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  2. Numeric precision in Microsoft Excel - Wikipedia

    en.wikipedia.org/wiki/Numeric_precision_in...

    Excel maintains 15 figures in its numbers, but they are not always accurate; mathematically, the bottom line should be the same as the top line, in 'fp-math' the step '1 + 1/9000' leads to a rounding up as the first bit of the 14 bit tail '10111000110010' of the mantissa falling off the table when adding 1 is a '1', this up-rounding is not undone when subtracting the 1 again, since there is no ...

  3. Rounding - Wikipedia

    en.wikipedia.org/wiki/Rounding

    One method, more obscure than most, is to alternate direction when rounding a number with 0.5 fractional part. All others are rounded to the closest integer. Whenever the fractional part is 0.5, alternate rounding up or down: for the first occurrence of a 0.5 fractional part, round up, for the second occurrence, round down, and so on.

  4. Subtraction - Wikipedia

    en.wikipedia.org/wiki/Subtraction

    [2] In a sense, subtraction is the inverse of addition. That is, c = a − b if and only if c + b = a. In words: the difference of two numbers is the number that gives the first one when added to the second one. Subtraction follows several important patterns. It is anticommutative, meaning that changing the order changes the sign of the answer.

  5. Guard digit - Wikipedia

    en.wikipedia.org/wiki/Guard_digit

    To compute the subtraction it is necessary to change the forms of these numbers so that they have the same exponent, and so that when the product notation is expanded the resulting numbers have their binary points lined up with each other. Shifting the second operand into position, as , gives it a fourth digit after the binary point.

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    She continued, adding “But you know, I’m still going to be part of community jams, or I’d like to go to community jams and still and still dance and still break — never used the word ...

  7. 15 Foods You Should Never Share With Your Dog—No ... - AOL

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    2. Grapes and Raisins. Even a small amount of grapes or raisins can cause kidney failure in dogs. And no, scientists still don’t know why they’re so toxic—but we do know it’s not worth the ...

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