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Numeracy - Nayland Maths
Numeracy - Nayland Maths

Number Rep - EECS: www-inst.eecs.berkeley.edu
Number Rep - EECS: www-inst.eecs.berkeley.edu

... A number is represented in a particular base by a series of digits.  Each digit is typically an  alphanumeric character and represents a number between 0 and  1.  We are taught to think in  base 10 (decimal); computers think in base 2 (binary).  In decimal, the value of the   digit   in base   is  . ...
Scientific Notation
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... Now let's multiply a number in scientific notation by 2. Let's multiply 2 x 5.67 x 109. 5.67 x 2 = 11.34. So our answer is 11.34 x 109. But we're not done. First notice that when we multiply we don't multiply the exponent, only the number in front before the exponent. OK, now let's write our answer ...
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... Why are they worth different amounts? Because they are in different positions. So – the key is that even if you see the same number, if you give the different digits different values, you have different numbers. For decimal numbers, we have 10 choices of what to put in each digit. That makes the fir ...
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... Let n be a k-digit integer in base b. Then n is said to be a Kaprekar number in base b if n2 has the following property: when you add the number formed by its right hand digits to that formed by its left hand digits, you get n. Or to put it algebraically, an integer n such that in a given base b has ...
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Positional notation

Positional notation or place-value notation is a method of representing or encoding numbers. Positional notation is distinguished from other notations (such as Roman numerals) for its use of the same symbol for the different orders of magnitude (for example, the ""ones place"", ""tens place"", ""hundreds place""). This greatly simplified arithmetic leading to the rapid spread of the notation across the world.With the use of a radix point (decimal point in base-10), the notation can be extended to include fractions and the numeric expansions of real numbers. The Babylonian numeral system, base-60, was the first positional system developed, and is still used today to count time and angles. The Hindu–Arabic numeral system, base-10, is the most commonly used system in the world today for most calculations.
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