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To calculate a percentage of a percentage, convert both percentages to fractions of 100, or to decimals, and multiply them. For example, 50% of 40% is: 50 / 100 × 40 / 100 = 0.50 × 0.40 = 0.20 = 20 / 100 = 20%. It is not correct to divide by 100 and use the percent sign at the same time; it would literally imply ...
Thus, it is often useful to convert repeating decimals into fractions. A conventional way to indicate a repeating decimal is to place a bar (known as a vinculum) over the digits that repeat, for example 0. 789 = 0.789789789... For repeating patterns that begin immediately after the decimal point, the result of the conversion is the fraction ...
The last two examples illustrate what happens if x is a rather small number. In the second from last example, x = 1.110111⋯111 × 2 −50 ; 15 bits altogether. The binary is replaced very crudely by a single power of 2 (in this example, 2 −49) and its decimal equivalent is used.
A fixed-point representation of a fractional number is essentially an integer that is to be implicitly multiplied by a fixed scaling factor. For example, the value 1.23 can be stored in a variable as the integer value 1230 with implicit scaling factor of 1/1000 (meaning that the last 3 decimal digits are implicitly assumed to be a decimal fraction), and the value 1 230 000 can be represented ...
k is a decimal digit and R is a fraction that must be converted to decimal. It usually has only a single digit in the numerator, and one or two digits in the denominator, so the conversion to decimal can be done mentally. Example: find the square root of 75. 75 = 75 × 10 2 · 0, so a is 75 and n is 0.
For example, the decimal expressions ,,,, represent the fractions 4 / 5 , 1489 / 100 , 79 / 100000 , + 809 / 500 and + 314159 / 100000 , and therefore denote decimal fractions. An example of a fraction that cannot be represented by a decimal expression (with a finite number of digits) is 1 / 3 , 3 not ...
Watermelon can help you stay hydrated, as this fruit is over 90 percent water. Hydration plays an important role in helping your body function properly, ensuring optimal cognition, organ function ...
For example, in the following set of real world fractional values, all have three digits to the right of the decimal point: 15.400, 0.133, 4.650, 1.000, 8.001 To save all of that information (in other words, not lose any precision), these numbers must be multiplied by 10 3 (1,000), giving integer values of: 15400, 133, 4650, 1000, 8001
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