Addition
Addition (often signified by the plus symbol “+”) is one of the four basic operations of arithmetic; the others are subtraction, multiplication and division. The addition of two whole numbers is the total amount of those values combined. For example, in the adjacent picture, there is a combination of three apples and two apples together, making a total of five apples. This observation is equivalent to the mathematical expression “3 + 2 = 5” i.e., “3 add 2 is equal to 5”.
Besides counting items, addition can also be defined on other types of numbers, such as integers, real numbers and complex numbers. This is part of arithmetic, a branch of mathematics. In algebra, another area of mathematics, addition can be performed on abstract objects such as vectors and matrices.
Addition has several important properties. It is commutative, meaning that order does not matter, and it is associative, meaning that when one adds more than two numbers, the order in which addition is performed does not matter (see Summation). Repeated addition of 1 is the same as counting; addition of 0 does not change a number. Addition also obeys predictable rules concerning related operations such as subtraction and multiplication.
Performing addition is one of the simplest numerical tasks. Addition of very small numbers is accessible to toddlers; the most basic task, 1 + 1, can be performed by infants as young as five months and even some members of other animal species. In primary education, students are taught to add numbers in the decimal system, starting with single digits and progressively tackling more difficult problems. Mechanical aids range from the ancient abacus to the modern computer, where research on the most efficient implementations of addition continues to this day.
Addition (noun)
The act of adding anything.
“The addition of five more items to the agenda will make the meeting unbearably long.”
Addition (noun)
Anything that is added.
Addition (noun)
The arithmetic operation of adding.
Addition (noun)
A dot at the right side of a note as an indication that its sound is to be lengthened one half.
Addition (noun)
A title annexed to a person’s name to identify him or her more precisely, as in “John Doe, Esq.”, “Robert Dale, Mason”, “Thomas Way, of New York”.
Addition (noun)
Something added to a coat of arms, as a mark of honour; opposed to abatement.
Edition (noun)
A written work edited and published, as by a certain editor or in a certain manner.
Edition (noun)
The whole number of copies of a work printed and published at one time.
“The first edition was soon sold.”
Edition (noun)
A particular instance of an event.
“The 2014 edition of the Tour de France started in Leeds, Yorkshire.”
Addition (noun)
the action or process of adding something to something else
“the hotel has been extended with the addition of more rooms”
Addition (noun)
a person or thing added or joined
“you will find the coat a useful addition to your wardrobe”
Addition (noun)
the process of calculating the total of two or more numbers or amounts
“she began with simple arithmetic, addition and then subtraction”
Addition (noun)
the process of combining matrices, vectors, or other quantities under specific rules to obtain their sum or resultant
“the concepts of vectors and vector addition”
Edition (noun)
a particular form or version of a published text
“a paperback edition”
Edition (noun)
a particular version of a text maintained by regular revision
“a first edition”
Edition (noun)
a person or thing that is compared to another as a copy to an original
“the building was a simpler edition of its namesake”
Edition (noun)
the total number of copies of a book, newspaper, or other published material issued at one time
“variations occurred after some of the edition had already been published”
Edition (noun)
a particular instance of a regular radio or television programme
“the Monday edition will be repeated on Wednesdays”