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  2. Addition - Wikipedia

    en.wikipedia.org/wiki/Addition

    Addition is commutative, meaning that one can change the order of the terms in a sum, but still get the same result. Symbolically, if a and b are any two numbers, then a + b = b + a. The fact that addition is commutative is known as the "commutative law of addition" or "commutative property of addition".

  3. Proofs involving the addition of natural numbers - Wikipedia

    en.wikipedia.org/wiki/Proofs_involving_the...

    The base case b = 0 follows immediately from the identity element property (0 is an additive identity), which has been proved above: a + 0 = a = 0 + a. Next we will prove the base case b = 1, that 1 commutes with everything, i.e. for all natural numbers a, we have a + 1 = 1 + a.

  4. Additive identity - Wikipedia

    en.wikipedia.org/wiki/Additive_identity

    In mathematics, the additive identity of a set that is equipped with the operation of addition is an element which, when added to any element x in the set, yields x.One of the most familiar additive identities is the number 0 from elementary mathematics, but additive identities occur in other mathematical structures where addition is defined, such as in groups and rings.

  5. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    If each subtraction is replaced with addition of the opposite (additive inverse), then the associative and commutative laws of addition allow terms to be added in any order. The radical symbol √ is traditionally extended by a bar (called vinculum) over the radicand (this avoids the need for parentheses around the radicand). Other functions ...

  6. Elementary arithmetic - Wikipedia

    en.wikipedia.org/wiki/Elementary_arithmetic

    The addition of two numbers is expressed with the plus sign (+). [6] It is performed according to these rules: The order in which the addends are added does not affect the sum. This is known as the commutative property of addition. (a + b) and (b + a) produce the same output. [7] [8]

  7. 3 women shot after discussion over politics; no arrest made ...

    www.aol.com/news/3-women-shot-discussion-over...

    Police in Miami are investigating after officials said three women were shot during an argument over politics early Wednesday, the day after Election Day.

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