Amicable Numbers - Penn State University
... assumptions, produces other amicable pairs. In the 1600’s, Pierre Fermat rediscovered this pair, and his mathematical rival René Descartes discovered another pair, (9363584, 9437056). Then came Leonhard Euler. In 1747, he published a paper in which he spoke of the three examples above, as well as 27 ...
... assumptions, produces other amicable pairs. In the 1600’s, Pierre Fermat rediscovered this pair, and his mathematical rival René Descartes discovered another pair, (9363584, 9437056). Then came Leonhard Euler. In 1747, he published a paper in which he spoke of the three examples above, as well as 27 ...
sig fig - stcscience6
... 3. Zeros between two other significant digits are always significant. Ex. 5 055 g = 4 significant figures 207 ml = 3 significant figures ...
... 3. Zeros between two other significant digits are always significant. Ex. 5 055 g = 4 significant figures 207 ml = 3 significant figures ...
Tuesday, July 7, pm
... – The sum of two fractions may exceed 1 (improper fractions or mixed numbers), and the minuend may also exceed 1. ...
... – The sum of two fractions may exceed 1 (improper fractions or mixed numbers), and the minuend may also exceed 1. ...
Integers and Division
... Proof of Theorem 1 • Part 1: if a|b and a|c, then a|(b+c) – If a|b and a|c, there must be integers s & t such that b = as and c = at – So b+c = as+at = a(s+t) – Then by definition of divisibility, a|(b+c) ...
... Proof of Theorem 1 • Part 1: if a|b and a|c, then a|(b+c) – If a|b and a|c, there must be integers s & t such that b = as and c = at – So b+c = as+at = a(s+t) – Then by definition of divisibility, a|(b+c) ...
math review for fractions
... * The least common multiple of 2 numbers is the smallest common multiple of those 2 numbers. For example, the least common multiple of 6/12 and 3/6 is 12. Multiples of 6 are 6, 12, 18. Multiples of 12 are 12, 24. * The greatest common factor of 2 numbers is the largest factor that both numbers share ...
... * The least common multiple of 2 numbers is the smallest common multiple of those 2 numbers. For example, the least common multiple of 6/12 and 3/6 is 12. Multiples of 6 are 6, 12, 18. Multiples of 12 are 12, 24. * The greatest common factor of 2 numbers is the largest factor that both numbers share ...
Arithmetic
Arithmetic or arithmetics (from the Greek ἀριθμός arithmos, ""number"") is the oldest and most elementary branch of mathematics. It consists of the study of numbers, especially the properties of the traditional operations between them—addition, subtraction, multiplication and division. Arithmetic is an elementary part of number theory, and number theory is considered to be one of the top-level divisions of modern mathematics, along with algebra, geometry, and analysis. The terms arithmetic and higher arithmetic were used until the beginning of the 20th century as synonyms for number theory and are sometimes still used to refer to a wider part of number theory.