SIGNED NUMBER Meaning and
Definition
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A signed number is a concept in mathematics that represents a numerical value together with its associated sign, indicating whether the number is positive or negative. It is a key component in the number system that allows for the representation and manipulation of both positive and negative quantities.
In a signed number, the numerical value is represented by absolute magnitude, while the sign denotes the direction or orientation of the quantity. A positive sign (+) indicates the number is greater than zero, while a negative sign (-) suggests that the number is less than zero. The sign can also be seen as determining whether the quantity is in surplus (positive) or deficit (negative) from a reference point.
By incorporating signed numbers into mathematical operations, various calculations involving addition, subtraction, multiplication, and division of positive and negative values can be accurately performed. The sign rules dictate the outcome of these operations; for instance, adding two positive numbers yields a positive result, while adding a negative and positive number requires subtracting the smaller absolute magnitude from the larger one, with the sign of the number with the larger absolute magnitude preserved.
Additionally, signed numbers are prevalent in algebra, geometry, and other branches of mathematics when dealing with concepts such as coordinates, vectors, temperatures, debts, and profits. They provide a comprehensive framework that enables the representation and calculation of a broad range of real-world scenarios.
Etymology of SIGNED NUMBER
The term "signed number" is a compound word, consisting of "sign" and "number".
The word "sign" is derived from the Latin word "signum", which originally meant a "mark" or "indication". Over time, it took on the meaning of a visible indicator or symbol. In mathematics, the concept of a sign reflects the positive or negative direction of a quantity.
The word "number" comes from the Latin word "numerus", which means "a number" or "a quantity". This term has been used to represent numerical values throughout history and is an essential concept in mathematics.
When combined, "signed number" refers to a concept in mathematics where a number is explicitly represented with its positive or negative sign. It denotes the direction or value relative to zero and helps indicate the nature of a quantity in relation to other quantities.
