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Boas, R. P., Jr. – Two-Year College Mathematics Journal, 1972
The problem of getting a correct result when a fraction is reduced by cancelling a digit which appears in both the numerator and the denominator is extended from the base ten situation to any number base. (DT)
Descriptors: Algorithms, College Mathematics, Fractions, Mathematics

Eperson, D. B. – Mathematics in School, 1973
Descriptors: Algorithms, Mathematics, Number Concepts, Secondary School Mathematics

Hatcher, Robert S. – Mathematics Teacher, 1973
Descriptors: Algorithms, Computation, Instruction, Mathematics
Jeffery, Bob – Mathematics Teaching, 1978
This investigation concerns the repeated application of the rule "take the sum of the squares of the digits." (MP)
Descriptors: Algorithms, Elementary Secondary Education, Instruction, Mathematics

Smith, Lehi T. – Mathematics Teacher, 1978
A test for divisibility by any prime number is discussed and its proof is given. (MP)
Descriptors: Algorithms, Division, Instruction, Mathematics

Lee, John W. – Mathematics Teacher, 1972
Descriptors: Addition, Algorithms, Instruction, Mathematics

Edge, John – Mathematics in School, 1979
Two algorithms are developed for finding the square roots of numbers. One is based on the rule that x square is the sum of the first x odd numbers; the other is algebraic. (MP)
Descriptors: Algorithms, Instruction, Learning Activities, Mathematics

Schultz, James E. – Arithmetic Teacher, 1978
The method described here converts a given problem in a base other than ten to a related problem in base ten, solves the related problem in base ten, and converts the answer back to the original base. Limitations are discussed. (MP)
Descriptors: Addition, Algorithms, Calculators, Elementary School Mathematics

Plagge, Richard – Two-Year College Mathematics Journal, 1978
Algorithms are developed and presented for the addition and multiplication of positive rational numbers using only their repeating decimal representation. (MN)
Descriptors: Algebra, Algorithms, College Mathematics, Decimal Fractions

Reardin, C. Richard, Jr. – Arithmetic Teacher, 1973
A rationale is given for the Russian-peasant algorithm for multiplication indicating why it works as well as how it works. (DT)
Descriptors: Algorithms, Elementary School Mathematics, Mathematical Enrichment, Mathematics
Howse, Joseph – Mathematics Teaching, 1973
Descriptors: Algorithms, Computation, Diagrams, History

Johnston, J. H. – Mathematics in School, 1972
After briefly presenting possible origins for the use of the decimal system for counting and the duodecimal (base twelve) system for many measures, a notational scheme using six positive'' digits and six negative'' digits is presented. Examples and algorithms using this set of digits for operations with whole numbers, fractions, and in…
Descriptors: Algorithms, Arithmetic, Mathematical Concepts, Mathematics

Pagni, David L. – Mathematics Teacher, 1979
The concept of prime factorization is discussed and two rules are developed: one for finding the number of divisors of a number and the other for finding the sum of the divisors. (MP)
Descriptors: Algorithms, Computation, Instruction, Mathematical Formulas

Johnson, R. W.; Waterman, M. S. – International Journal of Mathematical Education in Science and Technology, 1976
In a thesis written for the Doctor of Arts in Mathematics, the connection between Euclid's algorithm and continued fractions is developed and extended to n dimensions. Applications to computer sciences are noted. (SD)
Descriptors: Algorithms, College Mathematics, Computers, Doctoral Dissertations

Maier, Bruce – School Science and Mathematics, 1972
Descriptors: Algorithms, Computer Oriented Programs, Computer Programs, Geometric Concepts
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