answersLogoWhite

0


Best Answer

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.

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What are the properties of sum?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

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


True or false The properties of a compound are limited to the individual properties of its constitutive elements?

False. The properties of a compound are not just the sum of its constituent elements, but are instead determined by the way those elements are bonded together in the compound. This can result in unique chemical and physical properties that differ from the individual elements.


What is tropical math?

Tropical math is a kind of arithmetic and algebra in which addition of two number is their minimum and multiplication is their sum. This has some properties similar to ordinary arithmetic and algebra but other properties are different.


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.


What is true of all parallelograms?

The definition of a parallelogram is that it's a quadrilateral in which both pairs of opposite sides are parallel. So, that part is true about all parallelograms. Apart from that, there are some other properties that can be deduced, such as: * Opposite sides are congruent * Opposite angles are congruent * The diagonals bisect one another * The sum of the squares of the sides equal the sum of the squares of the diagonals As well as some other properties.


What are properties of all polygons?

They are 2-dimensional shapes. They are enclosed by straight lines that meet pairwise - ie do not cross. The sum of the exterior angles is 360 degrees.


What are the properties of math?

Commutative- When the order of the numbers (#s) in a # problem change but the Sum/Product stays the same.example: 2+3=5 or 3+2=5


Is the sum of protron and neutrons of an atom is called the atomic number?

No, the sum of protons and neutrons in an atom is called the mass number, not the atomic number. The atomic number is the number of protons in an atom, which determines its chemical properties and its place on the periodic table.


What are vectors and what are the 2 properties of them?

Vectors are quantities that have a value as well as a direction.Vector addition is commutative: x + y = y + xThe value of the sum of two vectors is always less than or equal to the sum of their individual values.|x + y| ≤ |x| + |y|