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2. Order of operations - Wikipedia

   en.wikipedia.org/wiki/Order_of_operations

   [2] [3] Thus, in the expression 1 + 2 × 3, the multiplication is performed before addition, and the expression has the value 1 + (2 × 3) = 7, and not (1 + 2) × 3 = 9. When exponents were introduced in the 16th and 17th centuries, they were given precedence over both addition and multiplication and placed as a superscript to the right of ...

3. Cross-multiplication - Wikipedia

   en.wikipedia.org/wiki/Cross-multiplication

   In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.

4. Expression (mathematics) - Wikipedia

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

   For a given combination of values for the free variables, an expression may be evaluated, although for some combinations of values of the free variables, the value of the expression may be undefined. Thus an expression represents an operation over constants and free variables and whose output is the resulting value of the expression. [22]

5. Simplification - Wikipedia

   en.wikipedia.org/wiki/Simplification

   Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:

6. Fraction - Wikipedia

   en.wikipedia.org/wiki/Fraction

   For example, in the fraction ⁠ 3 / 4 ⁠, the numerator 3 indicates that the fraction represents 3 equal parts, and the denominator 4 indicates that 4 parts make up a whole. The picture to the right illustrates ⁠ 3 / 4 ⁠ of a cake. Fractions can be used to represent ratios and division. [1]

7. Computer algebra - Wikipedia

   en.wikipedia.org/wiki/Computer_algebra

   Symbolic integration of the algebraic function f(x) = ⁠ x / √ x 4 + 10x 2 − 96x − 71 ⁠ using the computer algebra system Axiom. In mathematics and computer science, [1] computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expressions and other ...

8. Coin problem - Wikipedia

   en.wikipedia.org/wiki/Coin_problem

   For example, if you had two types of coins valued at 6 cents and 14 cents, the GCD would equal 2, and there would be no way to combine any number of such coins to produce a sum which was an odd number; additionally, even numbers 2, 4, 8, 10, 16 and 22 (less than m=24) could not be formed, either.

9. Engineering notation - Wikipedia

   en.wikipedia.org/wiki/Engineering_notation

   Engineering notation or engineering form (also technical notation) is a version of scientific notation in which the exponent of ten is always selected to be divisible by three to match the common metric prefixes, i.e. scientific notation that aligns with powers of a thousand, for example, 531×10 3 instead of 5.31×10 5 (but on calculator displays written without the ×10 to save space).