StudentShare
Contact Us
Sign In / Sign Up for FREE
Search
Go to advanced search...

FINITE MATHEMATICS - Number Theory - Research Paper Example

Cite this document
Summary
The word “Truncate” in arithmetic defines cutting off at specified digits. Let us assume we have a number with decimal notation, it is: 5.3476. After the decimal point, we have four digits. They are 3476. In…
Download full paper File format: .doc, available for editing
GRAB THE BEST PAPER92.9% of users find it useful
FINITE MATHEMATICS - Number Theory
Read Text Preview

Extract of sample "FINITE MATHEMATICS - Number Theory"

Download file to see previous pages

In the next step we will truncate numbers to different digits. Our number is 5.3476. Let us examine what is rounding off a decimal place. Our number is 5.3476. We use the same concept as above; the digits after decimal points are called “tenths”, “hundredths”, “thousandths”, and “ten-thousandths”. There are two rules in rounding up of decimal places. Scenario 2: In this scenario we will add and then round up to the whole number. Let us think, I am in a supermarket. I want to buy three products and make sure I have enough money to pay before I go to the cash register.

I already know that when I round up decimal number to the whole number, I increase the result if the number after decimal point is 5 or more. I will use this technique. Step 3: I will add numbers of columns from left to the right. I already know that; 247 is 200 + 40 + 7. So, 135 is 100 + 30 + 5 and 682 is 600 + 80 + 2. I have to use this concept when I add from left to right. Scenario 3: In this scenario, I am in a flea market. I found something that costs $ 8.60 each. I want to buy 7 of them.

I have $ 60 in my packet. My goal is to find total price. I will truncate the decimal to the whole number and negotiate the price with the seller. This is a scenario of truncation after multiplication. Thus, if “p” is a known prime number, there is always a new prime number “n” which is a larger than the known prime number “p”. Thus for any prime number there is a larger prime number, so there are infinity number of primes. The figure above represents a 12-hour clock. Clockwise movement increases number from 1 to 12.

The number 12 can also be expressed as number 0. Using this clock we can do addition, subtraction, multiplication of integers. An integer is a whole number. There is no decimal. An integer can be a positive number or a negative number. Thus, we can use a 12-hour clock for arithmetic calculation with

...Download file to see next pages Read More
Tags
Cite this document
  • APA
  • MLA
  • CHICAGO
(“FINITE MATHEMATICS - Number Theory Research Paper”, n.d.)
Retrieved from https://studentshare.org/mathematics/1597526-finite-mathematics-number-theory
(FINITE MATHEMATICS - Number Theory Research Paper)
https://studentshare.org/mathematics/1597526-finite-mathematics-number-theory.
“FINITE MATHEMATICS - Number Theory Research Paper”, n.d. https://studentshare.org/mathematics/1597526-finite-mathematics-number-theory.
  • Cited: 0 times

CHECK THESE SAMPLES OF FINITE MATHEMATICS - Number Theory

Closed Forms by Borwein and Crandall

The fifth approach is again elementary in nature with emphasis on theory rather than correlative analysis with respect to sufficiently complicated equations and identities (Borwein and Crandall 2010).... But in doing this, the authors revisit a basic concept of mathematics, that is the concept of rigorous proof.... However, we also allow x to be any finite analytic-continuation value of such a series; moreover, when z lies on a branch cut we presume both branch limits to be elements of X....
9 Pages (2250 words) Essay

George cantor. infinite numbers

Sophie Cordoba Hector de Leon Course Date: Infinite Numbers George Philipp Cantor is known to have introduced the concept of infinite numbers and also the concept of set theory following his discovery of cardinal numbers.... In addition to the discovery of cardinal numbers and set theory, Cantor also proved real numbers' non-denumerability thereby advancing the study of trigonometric series.... His intensive research and analysis in mathematics had not ended yet and it is during this same year that he published his first article on set theory....
4 Pages (1000 words) Essay

Eudoxus and Dedekind Irrational Numbers and Mathematical Development

hellip; He was also a doctor and astronomer and is credited with the theory of concentric spheres to explain the apparent motions of the heavenly bodies.... Eudoxus proposed a theory of proportion to explain how incommensurable magnitudes could be used in geometry.... His theory has been preserved for us in the fifth book of Euclid Elements (Dedekind, 1948).... The theory, as stated, was very oblique and difficult.... Irritation numbers has been enhanced by Greek mathematics Eudoxus and Debekind and input greatly to the mathematical development of the time period....
13 Pages (3250 words) Essay

Why Mathematics Is So Crucial for Philosophical Training according to Plato

Plato – one of the most important educational theorists and curriculum developers in Western history, whose contribution to the theory and practice of mathematics education has had a profound impact over the ages, possessed educational interests and accomplishments founded on… The entrance to the Academy he established in Athens, famously announced: Tuition Free: The students of the Academy paid no set fee.... When we elucidate Plato's model of mathematical cognition and learning, we usually consider his mathematical curriculum, Plato may readily be seen as having put theory into practice on a scale unprecedented, in the history of mathematical education....
10 Pages (2500 words) Essay

Differentiation andRiemann Integration

Measure theory and integration.... A modern theory of random variation with applications in stochastic calculus, financial mathematics, and Feynman integration.... Riemann integration is one of mathematics branches, and was created by Bernard Riemann.... This… The main idea behind Riemann integral is for the usage of simple approximations, to help in the calculation of an area represented in a curve (Anton, Bivens, & Davis, 2002). If we have a function where al affiliation Introduction mathematics is one of the broad s that are divided to various s....
1 Pages (250 words) Assignment

The Similarity Between Philosophy and Mathematics

The paper "The Similarity Between Philosophy and mathematics" analyzes the methodology of approach by the two disciplines.... mathematics is more precise in its symbolic logic.... The issues, data, and assumptions raised by the mathematics are deeply analyzed by a philosophy to create an articulate understanding.... This combination of mathematics and philosophy provides a formidable foundation upon which to build in the course of career development and pursuit....
9 Pages (2250 words) Essay

Mathematics in Enabling the Understanding of Todays Social Issues

To date, mathematics as a discipline now covers a wide range of areas including numbers, geometry, algebra, calculus, set theory and mathematical logic, as well as statistics and probability that are known to be more applied aspects of the discipline.... Mathematics also covers other areas like graph theory, differential geometry, topology, model theory, among many others.... When it comes to number bases, we have two types; the binary and hexadecimal systems....
7 Pages (1750 words) Essay

Jean Baptiste Joseph Fouriers Contributions to Mathematics

"Jean Baptiste Joseph Fourier's Contributions to mathematics" paper intends to present a detailed account of his development as a mathematician and his contribution in the field of mathematics.... Orphaned at eight, he was educated in the Benedictine school at Auxerre, where he discovered his interest in mathematics....
6 Pages (1500 words) Coursework
sponsored ads
We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.
Contact Us