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2. Order of operations - Wikipedia

   en.wikipedia.org/wiki/Order_of_operations

   Order of operations. In mathematics and computer programming, the order of operations is a collection of rules that reflect conventions about which operations to perform first in order to evaluate a given mathematical expression. These rules are formalized with a ranking of the operations. The rank of an operation is called its precedence, and ...

3. Word problem for groups - Wikipedia

   en.wikipedia.org/wiki/Word_problem_for_groups

   Word problem for groups. In mathematics, especially in the area of abstract algebra known as combinatorial group theory, the word problem for a finitely generated group is the algorithmic problem of deciding whether two words in the generators represent the same element of . The word problem is a well-known example of an undecidable problem.

4. Division (mathematics) - Wikipedia

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

   Division is one of the four basic operations of arithmetic. The other operations are addition, subtraction, and multiplication. What is being divided is called the dividend, which is divided by the divisor, and the result is called the quotient. At an elementary level the division of two natural numbers is, among other possible interpretations ...

5. Carry (arithmetic) - Wikipedia

   en.wikipedia.org/wiki/Carry_(arithmetic)

   In elementary arithmetic, a carry is a digit that is transferred from one column of digits to another column of more significant digits. It is part of the standard algorithm to add numbers together by starting with the rightmost digits and working to the left. For example, when 6 and 7 are added to make 13, the "3" is written to the same column ...

6. Hilbert's problems - Wikipedia

   en.wikipedia.org/wiki/Hilbert's_problems

   The following are the headers for Hilbert's 23 problems as they appeared in the 1902 translation in the Bulletin of the American Mathematical Society. [1] 1. Cantor's problem of the cardinal number of the continuum. 2. The compatibility of the arithmetical axioms. 3. The equality of the volumes of two tetrahedra of equal bases and equal altitudes.

7. Hilbert's second problem - Wikipedia

   en.wikipedia.org/wiki/Hilbert's_second_problem

   Hilbert's second problem. In mathematics, Hilbert's second problem was posed by David Hilbert in 1900 as one of his 23 problems. It asks for a proof that arithmetic is consistent – free of any internal contradictions. Hilbert stated that the axioms he considered for arithmetic were the ones given in Hilbert (1900), which include a second ...