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1/52! chance of a specific shuffle Mathematics: The chances of shuffling a standard 52-card deck in any specific order is around 1.24 × 10 −68 (or exactly 1 ⁄ 52!) [4] Computing: The number 1.4 × 10 −45 is approximately equal to the smallest positive non-zero value that can be represented by a single-precision IEEE floating-point value.
Another method is multiplication by 3. A number of the form 10x + y has the same remainder when divided by 7 as 3x + y. One must multiply the leftmost digit of the original number by 3, add the next digit, take the remainder when divided by 7, and continue from the beginning: multiply by 3, add the next digit, etc.
To put in perspective the size of a googol, the mass of an electron, just under 10-30 kg, can be compared to the mass of the visible universe, estimated at between 10 50 and 10 60 kg. [5] It is a ratio in the order of about 10 80 to 10 90 , or at most one ten-billionth of a googol (0.00000001% of a googol).
If each book had a mass of 100 grams, all of them would have a total mass of 10 93 kilograms. In comparison, Earth's mass is 5.97 × 10 24 kilograms [5], the mass of the Milky Way galaxy is estimated at 1.8 × 10 42 kilograms [6], and the total mass of all the stars in the observable universe is estimated at 2 × 10 52 kg. [7]
In general, if an increase of x percent is followed by a decrease of x percent, and the initial amount was p, the final amount is p (1 + 0.01 x)(1 − 0.01 x) = p (1 − (0.01 x) 2); hence the net change is an overall decrease by x percent of x percent (the square of the original percent change when expressed as a decimal number).
The division with remainder or Euclidean division of two natural numbers provides an integer quotient, which is the number of times the second number is completely contained in the first number, and a remainder, which is the part of the first number that remains, when in the course of computing the quotient, no further full chunk of the size of ...
While the actual number is a matter of dispute, the Tax Policy Center places it at $532,613. ... more than twice the percentage they received 30 years ago. Meanwhile, the bottom 80% of households ...
9 parts per billion ! 9 ppb ! 9 × 10 −9: A shift of... 1 nm/m 1 part per billion ! 1 ppb ! 1 × 10 −9: A strain of... 1 μm/m 1 part per million 1 ppm 1 × 10 −6: A temperature coefficient of... 0.3 (μHz/Hz)/°C 0.3 part per million per °C 0.3 ppm/°C 0.3 × 10 −6 /°C A frequency change of... 0.35 × 10 −9 ƒ 0.35 part per billion ...