Algebraic foundations
... The numbers 1, 2, 1 in row 2 are the coefficients of the terms in the expansion of (a + b) 2. (a + b) 2 = 1a2 + 2ab + 1b2 The numbers 1, 3, 3, 1 in row 3 are the coefficients of the terms in the expansion of (a + b) 3. (a + b) 3 = 1a3 + 3a2b + 3ab2 + 1b3 Each row of Pascal’s triangle contains the c ...
... The numbers 1, 2, 1 in row 2 are the coefficients of the terms in the expansion of (a + b) 2. (a + b) 2 = 1a2 + 2ab + 1b2 The numbers 1, 3, 3, 1 in row 3 are the coefficients of the terms in the expansion of (a + b) 3. (a + b) 3 = 1a3 + 3a2b + 3ab2 + 1b3 Each row of Pascal’s triangle contains the c ...
Algorithms for Integer Arithmetic
... Now think about multiplying an odd number of negative numbers together. If we remove one negative number, the remaining even product must be positive! Multiply this number by the negative one we took out ...
... Now think about multiplying an odd number of negative numbers together. If we remove one negative number, the remaining even product must be positive! Multiply this number by the negative one we took out ...
Greatest Common Factor, Lowest Common Multiple
... IV. K. Algebra GCF LCM all four methods Greatest Common Factor, Lowest Common Multiple I. Factors for 150: 1150, 275, 350, 530, 625, 1015 (twelve in all) for 80: 180, 240, 420, 516, 810 (ten of them in all) II. Review of prime factorization: 150 = 15 10 = 2352 ...
... IV. K. Algebra GCF LCM all four methods Greatest Common Factor, Lowest Common Multiple I. Factors for 150: 1150, 275, 350, 530, 625, 1015 (twelve in all) for 80: 180, 240, 420, 516, 810 (ten of them in all) II. Review of prime factorization: 150 = 15 10 = 2352 ...
Elementary mathematics
Elementary mathematics consists of mathematics topics frequently taught at the primary or secondary school levels. The most basic topics in elementary mathematics are arithmetic and geometry. Beginning in the last decades of the 20th century, there has been an increased emphasis on problem solving. Elementary mathematics is used in everyday life in such activities as making change, cooking, buying and selling stock, and gambling. It is also an essential first step on the path to understanding science.In secondary school, the main topics in elementary mathematics are algebra and trigonometry. Calculus, even though it is often taught to advanced secondary school students, is usually considered college level mathematics.