Roots and Radicals
... Rationalizing the Denominator To do this, multiply the fraction with the radical in the denominator by “1” as a fraction where the numerator and denominator are either: • the radical factor that will produce a perfect square in the denominator radical or • the expression that is the conjugate of the ...
... Rationalizing the Denominator To do this, multiply the fraction with the radical in the denominator by “1” as a fraction where the numerator and denominator are either: • the radical factor that will produce a perfect square in the denominator radical or • the expression that is the conjugate of the ...
17_induction
... Starting from a negative number doesn't change the applicability of induction, but be careful when stating the inductive hypothesis and when proving the inductive step! ...
... Starting from a negative number doesn't change the applicability of induction, but be careful when stating the inductive hypothesis and when proving the inductive step! ...
permutation - H1 H2 A Maths tuition
... Principle which states that if it requires two necessary stages to complete a task and if there are r ways and s ways to perform stage 1 and stage 2 respectively, then the number of ways to complete the task is r s ways. ...
... Principle which states that if it requires two necessary stages to complete a task and if there are r ways and s ways to perform stage 1 and stage 2 respectively, then the number of ways to complete the task is r s ways. ...
Unique factorization
... First of all, let’s define what a perfect number is. By the definition in [3], a natural number Ω is said to be perfect if and only if the sum s (W) of all the proper factors of Ω is equal to itself, i.e. s (W) = 2W. Obviously, when A and B are relatively prime, s ( AB) = s ( A)s ( B) . Let N = p1a1 ...
... First of all, let’s define what a perfect number is. By the definition in [3], a natural number Ω is said to be perfect if and only if the sum s (W) of all the proper factors of Ω is equal to itself, i.e. s (W) = 2W. Obviously, when A and B are relatively prime, s ( AB) = s ( A)s ( B) . Let N = p1a1 ...
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.