Section 2.4. The Integers and Division. Number Theory. Branch of mathematics that includes (among other things): divisibility greatest common divisor modular arithmetic. Division. Division of one integer by another (e.g a/b) produces 2 results: quotient: number of time b “goes into” a

ByBasic Math Skills Review. Fractions. Introduction to Fractions. The block below is divided into three equal parts. One of three of the sections is shaded. We use the fraction ⅓ to represent the comparison of one shaded section out of three sections. Read this as “one-third.”.

ByExample 4-1a. Find the GCF of 16 and 24 . Method 1 List the factors. factors of 16: 1 , 2 , 4 , 8 , 16. factors of 24: 1 , 2 , 3, 4 , 6, 8 , 12, 24. Answer: The greatest common factor of 16 and 24 is 8 . Example 4-1a. Find the GCF of 16 and 24 .

ByRSA cryptosystem--preview. Suppose n=p q and ( n )=( p -1)( q -1), where p and q are big primes. Select (find) a and b , such that a b= 1 mod ( n ). K =( n ,p,q,a, b ), publicize n , b , but keep p,q,a secret. For any x,y Z n , define

By10 Driving Principles of the New Economy. (Source: Business 2.0 , June 1999, pp.129). 1. MATTER 2. SPACE 3. TIME 4. PEOPLE 5. GROWTH. 6. VALUE 7. EFFICIENCY 8. MARKETS 9. TRANSACTIONS 10. IMPULSE. 10 Driving Principles. 1. MATTER. Matter. It matters less .

ByRenaissance Clothing. Renaissance clothing fashions began to develop in the 1490's. http://www.ehow.com/about_5373192_renaissance-clothing-information.html. Social Status. Clothing during the Renaissance period was more about displaying one’s social status.

ByCompetition in the Tourism Industry. By: Holli Howard 2010. The tourism industry is a competitive business that must keep up with the latest trends for survival. Attracting and pleasing the customer is the prime motive of hospitality marketing.

By6.3 Least Common Denominators. Objective 1. Find the least common denominator for a group of fractions. Slide 6.3-3. Find the least common denominator for a group of fractions.

By4-2 6 th grade math. Prime Factorization. Objective. To use divisibility rules to check for divisibility and write the prime factorization of numbers in exponential form. Why? To help you with prime factoring, simplifying fractions, division. California State Standards .

ByWarm UP!. Notes- Simplifying Radicals . Radical Sign (square root sign). 16. Radicand. Example. Which number is the radicand?. 130 is the Radicand. Square Root. What is a square root?. The number that it takes to make a perfect square. When you have a pair, bring the number out.

ByWarm up. Simplify i 57 i 56 (3 + i )(4 – 2i) Find the exact Volume . Questions over HW?. N th Roots & Rational Exponents. Parts of a radical. No number where the root is means it’s a square root (2). Simplifying Radicals. Break down the radicand in to prime factors.

ByLeast Common Multiples. Multiples. Multiples are the product of a number and any whole number. LCM- least common multiple- the least multiple common to all numbers. Find by: List the multiples Ex 1: 6 and 9: 6: 6,12,18,24,30, 36,42,48 9: 9,18,27,36, 45,54,63,72,81 LCM: 18.

ByFinding the Greatest Common Factor of Two Numbers. We are looking for a factor. The factor. must be common to both numbers. We. need to pick the greatest of such. common factors. The GCF of 36 and 90. Method 1. 1) List the factors of each number. 36: 1 2 3 4 6

ByDeciding Primality is in P. M. Agrawal, N. Kayal, N. Saxena Presentation by Adi Akavia. Background. Sieve of Eratosthenes 240BC - (n) Fermat’s Little Theorem (17 th century): p is prime, a0 (mod p) a p-1 1 (mod p) (The converse does not hold – Carmichael numbers)

ByCryptography or Smalltalkers 2 Public Key Cryptography. Martin Kobetic Cincom Smalltalk Development ESUG 2006. Contents. Public Key Algorithms Encryption (RSA) Key Establishment (RSA, DH) Signing Hashes (SHA, MD5) MACs (HMAC, CBC-MAC) Digital Signatures (RSA, DSA).

ByLeast Common Multiple. A multiple of a number is the product of the number and any whole number. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24. 6 x 5 = 30 6 x 6 = 36 6 x 7 = 42 6 x 8 = 48 6 x 9 = 54. 6 x 0 = 0 6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24.

ByGREATEST COMMON FACTOR. LET’S CHECK WHAT WE KNOW . 1. Tell whether each number is divisible by 2, 3, 4, 5, 6, 9 or 10. 1. 67 2. 145 3. 891 4. 202 2. Find the Prime factorization of: i) 63 ii) 8 iii) 120 iv) 264 v) 28. FACTOR FACTS. FACTORS .

ByFinding the LCM Using Prime Factorization. To determine the Least common Multiple : Find the prime factorization for each number using exponents. For each prime factor, write the base with the greatest exponent. Multiply . Find the LCM of 36 and 24

BySection 6.1. The Greatest Common Factor and Factoring by Grouping. The Greatest Common Factor and Factoring by Grouping. Find the greatest common factor of a list of integers. Find the greatest common factor of a list of terms. Factor out the greatest common factor from a polynomial.

ByFinding GCF’s and LCM’s. Grade 6. Do Now (Pre-Test). Study Island Responders 5 minutes. Learning Objective. Students will be able to identify factors and multiples of a positive integer, common factors, common multiples, the greatest common factor, and the

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