Addition FAQs:

Q: Is addition studied more abstractly?

A: Yes.

Q: Is addition used to model countless physical processes?

A: Yes.

Q: Is addition taught by the end of the first year of elementary school?

A: Yes.

Q: Is addition called "tropical multiplication"?

A: Yes, and maximization is called "tropical addition", and the tropical "additive identity" is negative infinity.

Q: Is addition performed does not matter?

A: Yes, Repeated addition of 1 is the same as counting; addition of 0 does not change a number.

Q: Is addition commutative: one can change the order of the terms in a sum?

A: Yes, and the result is the same.

Q: Is addition too large to store?

A: Yes, and an arithmetic overflow occurs, resulting in an incorrect answer.

Q: Is addition an easy consequence of the laws of integer arithmetic?

A: Yes.

Q: Is addition the definition of additive inverses?

A: Yes.

Q: Is addition then extended to progressively larger sets that include the natural numbers: the integers?

A: Yes, and the rational numbers, and the real numbers.

Q: Is addition associative tells us that the choice of definition is irrelevant?

A: Yes.

Q: Is addition immediate?

A: Yes, defining the real number 0 to be the set of negative rationals, it is easily seen to be the additive identity.

Q: Was addition developed by Dedekind as early as 1854?

A: Yes, and he would expand upon it in the following decades.

Q: Is addition one of the simplest numerical tasks?

A: Yes.

Q: Is addition used together with other operations?

A: Yes, and the order of operations becomes important.

Q: Is addition a kind of range-side addition?

A: Yes.

Q: Is addition also fundamental to the operation of digital computers?

A: Yes, where the efficiency of addition, in particular the carry mechanism, is an important limitation to overall performance.

Q: Is addition typically the fastest arithmetic instruction?

A: Yes, yet it has the largest impact on performance, since it underlies all floating-point operations as well as such basic tasks as address generation during memory access and fetching instructions during branching.

Q: Is addition first defined on the natural numbers?

A: Yes.

Q: Is addition collectively referred to as the terms, the addends or the summands?

A: Yes, this terminology carries over to the summation of multiple terms.

Q: Is addition forced to be commutative?

A: Yes.

Q: Is addition defined for two matrices of the same dimensions?

A: Yes.

Q: Is addition a lower priority than exponentiation?

A: Yes, and nth roots, multiplication and division, but is given equal priority to subtraction.

Q: Is addition written using the plus sign "+" between the terms?

A: Yes, that is, in infix notation.

Q: Is addition commutative is known as the "commutative law of addition"?

A: Yes, This phrase suggests that there are other commutative laws: for example, there is a commutative law of multiplication.

Q: Is addition commutative in general?

A: Yes.