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2. 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 ...

3. Addition - Wikipedia

   en.wikipedia.org/wiki/Addition

   For example, in the addition 27 + 59. ¹ 27 + 59 ———— 86 7 + 9 = 16, and the digit 1 is the carry. [b] An alternate strategy starts adding from the most significant digit on the left; this route makes carrying a little clumsier, but it is faster at getting a rough estimate of the sum. There are many alternative methods.

4. Arithmetic - Wikipedia

   en.wikipedia.org/wiki/Arithmetic

   For example, subtraction is the inverse of addition since a number returns to its original value if a second number is first added and subsequently subtracted, as in + =. Defined more formally, the operation " ⋆ {\displaystyle \star } " is an inverse of the operation " ∘ {\displaystyle \circ } " if it fulfills the following condition: t ⋆ ...

5. Elementary arithmetic - Wikipedia

   en.wikipedia.org/wiki/Elementary_arithmetic

   Example of addition with carry. The black numbers are the addends, the green number is the carry, and the blue number is the sum. In the rightmost digit, the addition of 9 and 7 is 16, carrying 1 into the next pair of the digit to the left, making its addition 1 + 5 + 2 = 8. Therefore, 59 + 27 = 86.

6. Operation (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Operation_(mathematics)

   For example, in the real numbers, the squaring operation only produces non-negative numbers; the codomain is the set of real numbers, but the range is the non-negative numbers. Operations can involve dissimilar objects: a vector can be multiplied by a scalar to form another vector (an operation known as scalar multiplication ), [ 13 ] and the ...

7. Algebraic expression - Wikipedia

   en.wikipedia.org/wiki/Algebraic_expression

   An algebraic equation is an equation involving polynomials, for which algebraic expressions may be solutions. If you restrict your set of constants to be numbers, any algebraic expression can be called an arithmetic expression. However, algebraic expressions can be used on more abstract objects such as in Abstract algebra.