PowerPoint Presentation - Study Hall Educational Foundation
... An ice cream parlor has 6 flavors of ice cream. A dish with two scoops can have any two flavors, including the same flavor twice. How many different double-scoop combinations are possible? ...
... An ice cream parlor has 6 flavors of ice cream. A dish with two scoops can have any two flavors, including the same flavor twice. How many different double-scoop combinations are possible? ...
File - janet rocky horror
... Sums and products What two integers have a sum of 2 and a product of –8? Start by writing down all of the pairs of numbers that multiply together to make –8. Since –8 is negative, one of the numbers must be positive and one of the numbers must be negative. We can have: ...
... Sums and products What two integers have a sum of 2 and a product of –8? Start by writing down all of the pairs of numbers that multiply together to make –8. Since –8 is negative, one of the numbers must be positive and one of the numbers must be negative. We can have: ...
numbers - MySolutionGuru
... 23. Irrational Number : Numbers which can not be represented as ratio of two natural numbers, are called irrational number.!Example : , 5 etc. An irrational number is a non repeating and non terminating decimal. ! and ! are irrational numbers. History of Irrational Numbers Apparently Hippasus (one o ...
... 23. Irrational Number : Numbers which can not be represented as ratio of two natural numbers, are called irrational number.!Example : , 5 etc. An irrational number is a non repeating and non terminating decimal. ! and ! are irrational numbers. History of Irrational Numbers Apparently Hippasus (one o ...
Grade 8 Mathematics Module 7, Topic B, Lesson 11
... To get the decimal expansion of a square root of a non-perfect square you must use the method of rational approximation. Rational approximation is a method that uses a sequence of rational numbers to get closer and closer to a given number to estimate the value of the number. The method requires tha ...
... To get the decimal expansion of a square root of a non-perfect square you must use the method of rational approximation. Rational approximation is a method that uses a sequence of rational numbers to get closer and closer to a given number to estimate the value of the number. The method requires tha ...
Chapter 2 Exercises and Answers
... The number zero and any number obtained by repeatedly adding one to it. B An integer or the quotient of two integers (division by zero excluded). E A value less than zero, with a sign opposite to its positive counterpart. D ...
... The number zero and any number obtained by repeatedly adding one to it. B An integer or the quotient of two integers (division by zero excluded). E A value less than zero, with a sign opposite to its positive counterpart. D ...
YEAR 5 BLOCK A UNIT 1 (AUTUMN)
... Explain reasoning using text, diagrams and symbols. Solve one- and two-step problems involving whole numbers and decimals and all four operations, choosing and using appropriate calculation strategies. Order positive and negative numbers in context. Explain what each digit represents in whol ...
... Explain reasoning using text, diagrams and symbols. Solve one- and two-step problems involving whole numbers and decimals and all four operations, choosing and using appropriate calculation strategies. Order positive and negative numbers in context. Explain what each digit represents in whol ...
P-adic number
In mathematics the p-adic number system for any prime number p extends the ordinary arithmetic of the rational numbers in a way different from the extension of the rational number system to the real and complex number systems. The extension is achieved by an alternative interpretation of the concept of ""closeness"" or absolute value. In particular, p-adic numbers have the interesting property that they are said to be close when their difference is divisible by a high power of p – the higher the power the closer they are. This property enables p-adic numbers to encode congruence information in a way that turns out to have powerful applications in number theory including, for example, in the famous proof of Fermat's Last Theorem by Andrew Wiles.p-adic numbers were first described by Kurt Hensel in 1897, though with hindsight some of Kummer's earlier work can be interpreted as implicitly using p-adic numbers. The p-adic numbers were motivated primarily by an attempt to bring the ideas and techniques of power series methods into number theory. Their influence now extends far beyond this. For example, the field of p-adic analysis essentially provides an alternative form of calculus.More formally, for a given prime p, the field Qp of p-adic numbers is a completion of the rational numbers. The field Qp is also given a topology derived from a metric, which is itself derived from the p-adic order, an alternative valuation on the rational numbers. This metric space is complete in the sense that every Cauchy sequence converges to a point in Qp. This is what allows the development of calculus on Qp, and it is the interaction of this analytic and algebraic structure which gives the p-adic number systems their power and utility.The p in p-adic is a variable and may be replaced with a prime (yielding, for instance, ""the 2-adic numbers"") or another placeholder variable (for expressions such as ""the ℓ-adic numbers""). The ""adic"" of ""p-adic"" comes from the ending found in words such as dyadic or triadic, and the p means a prime number.