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Peer reviewed Peer reviewed
Lee, Wei; Mulliss, Christopher L.; Chu, Hung-Chih – Chinese Journal of Physics, 2000
Investigates the commonly suggested rounding rule for addition and subtraction including its derivation from a basic assumption. Uses Monte-Carlo simulations to show that this rule predicts the minimum number of significant digits needed to preserve precision 100% of the time. (Author/KHR)
Descriptors: Addition, Higher Education, Monte Carlo Methods, Physics
Peer reviewed Peer reviewed
Mulliss, Christopher L.; Lee, Wei – Chinese Journal of Physics, 1998
Investigates the standard rounding rule for multiplication and division including its derivation from a basic assumption. Uses Monte-Carlo simulations to show that this rule predicts the minimum number of significant digits needed to preserve precision only 46.4% of the time and leads to a loss in precision 53.5% of time. Suggests an alternative…
Descriptors: Division, Higher Education, Monte Carlo Methods, Multiplication
Peer reviewed Peer reviewed
Whitney, Matthew C. – Mathematics Teacher, 2001
Describes an activity designed to demonstrate the birthday paradox and introduce students to real-world applications of Monte Carlo-type simulation techniques. Includes a sample TI-83 program and graphical analysis of the birthday problem function. (KHR)
Descriptors: Graphing Calculators, Mathematics Activities, Mathematics Instruction, Monte Carlo Methods