0
Sum, or addition, of numbers has the following properties:
Commutative: a + b = b + a
Associative: a + (b + c) = (a + b) + c and so either can be written as a + b + c
A set, over which addition is defined will usually (but not necessarily) contain a unique additive identity, which is denoted by 0. This has the property that, for all eelments a, in the set, a + 0 = 0 + a = a
The set may also have additive inverses. An element, a in the set, has the additive inverse, denoted by -a, such that a + (-a) = (-a) + a = 0.
Not all sets will have an identity or inverse, for example, the set of counting numbers has neither.
Still curious? Ask our experts.
Chat with our AI personalities
Ezra
Steve
CoachAdd your answer:
Earn +20 pts
Are characteristics of an entire system that are greater than the sum of its parts?
emergent properties
What are the properties of a regular hexagon?
It has six sides the sum of the measure of the angle is 720
Why do you not take the sum of absolute deviations?
You most certainly can. The standard deviation, however, has better statistical properties.
What are the properties of height and trapezium?
The area of a trapezium is found because: 0.5*(sum of parallel sides)*height = area
Properties of a quadrilateral?
Four sides, meeting pairwise at four vertices. Sum of interior angles = 360 degrees. Two diagonals. Most other properties are either those of all polygons, or of special cases of quadrilaterals.
