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Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
An imperative sentence gives anything from a command or order, to a request, direction, instruction, suggestion, or implication. Imperative sentences are more intentional than exclamatory sentences and do require an audience, [ note 1 ] as their aim is to get the person(s) being addressed either to do or to not do something.
Imperative mood is often expressed using special conjugated verb forms. Like other finite verb forms, imperatives often inflect for person and number.Second-person imperatives (used for ordering or requesting performance directly from the person being addressed) are most common, but some languages also have imperative forms for the first and third persons (alternatively called cohortative and ...
Decimal: Binary: 11 3 1011 11 5 6 101 110 2 12 10 1100 1 24 1 11000 —— —————— 33 100001 Describing the steps explicitly: 11 and 3 are written at the top; 11 is halved (5.5) and 3 is doubled (6). The fractional portion is discarded (5.5 becomes 5).
[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 ...
The word problem for an algebra is then to determine, given two expressions (words) involving the generators and operations, whether they represent the same element of the algebra modulo the identities. The word problems for groups and semigroups can be phrased as word problems for algebras. [1]
Four bags with three marbles per bag gives twelve marbles (4 × 3 = 12). Multiplication can also be thought of as scaling. Here, 2 is being multiplied by 3 using scaling, giving 6 as a result. Animation for the multiplication 2 × 3 = 6 4 × 5 = 20. The large rectangle is made up of 20 squares, each 1 unit by 1 unit.
Taniyama's problems [3] 36 – Yutaka Taniyama: 1955 Thurston's 24 questions [4] [5] 24 – William Thurston: 1982 Smale's problems: 18: 14: Stephen Smale: 1998 Millennium Prize Problems: 7: 6 [6] Clay Mathematics Institute: 2000 Simon problems: 15 < 12 [7] [8] Barry Simon: 2000 Unsolved Problems on Mathematics for the 21st Century [9] 22 ...
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