------------------------------------------------- 1 (number) 1 | −1 0 1 2 3 4 5 6 7 8 9 →List of numbers — Integers0 10 20 30 40 50 60 70 80 90 → | Cardinal | 1 one | Ordinal | 1st first | Numeral system | unary | Factorization | | Divisors | 1 | Greek numeral | α’ | Roman numeral | I | Roman numeral (Unicode) | Ⅰ‚ ⅰ | Persian | ١ - یک | Arabic | ١ | Ge’ez | ፩ | Bengali | ১ | Chinese numeral | 一，弌，壹 | Korean | 일‚ 하나 | Devanāgarī | १ | Telugu | ೧ | Tamil |
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Name Chapter 2‚ Lesson 1 Practice Date Hands On: Compare and Order Whole Numbers CA Standard NS 1.2 Use > or < to compare the numbers. Make a number line on a separate sheet of paper to help. 1. 4‚351 4. 119‚832 7. 9‚889 4‚315 2. 8‚998 5. 745‚271 8. 911‚238 60‚060 6‚600 30‚298 75‚271 30‚302 3. 69‚780 6. 598‚401 9. 14‚501 96‚870 589‚410 13‚799 Test Practice Circle the letter of the correct answer. 10.
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Cardinal numbers: Definition‚ Examples Cardinal numbers We know that‚ the relation in sets defined by A~ B is an equivalence relation. Hence by fundamental theorem on equivalence relation‚ all sets are partitioned into disjoint classes of equivalent sets. Thus for any set A‚ equivalence class of A‚ [A] = { B | B ~ A } Result: - (1) [A] = [B] or [A] ∩ [B] = ∅ ‚ that is for any two sets‚ either they have same equivalence classes or totally disjoint equivalence classes.
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Complex Numbers All complex numbers consist of a real and imaginary part. The imaginary part is a multiple of i (where i =[pic] ). We often use the letter ‘z’ to represent a complex number eg. z = 3 +5i The conjugate of z is written as z* or [pic] If z1 = a + bi then the conjugate of z (z* ) = a – bi Similarly if z2 = x – yi then the conjugate z2* = x + yi z z* will always be real (as i2 = -1) For two expressions containing complex numbers to be equal‚
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understanding. Based on geometry alone‚ many special patterns evolve‚ such as the square numbers‚ triangular numbers‚ and much more. The Stellar Numbers are mostly used in astronomy and astrology. Stellar Numbers are figurate numbers based on the number of dots that can fit into a midpoint to form a star shape. The points of the star determine the number of points plotted around the midpoint. Triangular numbers is a figurate number system that can be represented in the form of a triangular grid of points where
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cryptography is the ability to send information between participants in a way that prevents others from reading it. In this book we will concentrate on the kind of cryptography that is based on representing information as numbers and mathematically manipulating those numbers. This kind of cryptography can provide other services‚ such as • integrity checking—reassuring the recipient of a message that the message has not been altered since it was generated by a legitimate source • authentication—verifying
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he number theory or number systems happens to be the back bone for CAT preparation. Number systems not only form the basis of most calculations and other systems in mathematics‚ but also it forms a major percentage of the CAT quantitative section. The reason for that is the ability of examiner to formulate tough conceptual questions and puzzles from this section. In number systems there are hundreds of concepts and variations‚ along with various logics attached to them‚ which makes this seemingly
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------------------------------------------------- Prime number A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime‚ as only 1 and 5 divide it‚ whereas 6 is composite‚ since it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 can
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the imaginary land of numbers… Yes‚ numbers! I bet that would’ve never come to mind. Which brings me to the question: Who thought of them and why? In 50 A.D.‚ Heron of Alexandria studied the volume of an impossible part of a pyramid. He had to find √(81-114) which‚ back then‚ was insolvable. Heron soon gave up. For a very long time‚ negative radicals were simply deemed “impossible”. In the 1500’s‚ some speculation began to arise again over the square root of negative numbers. Formulas for solving
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Quantum Numbers Quantum Numbers The Bohr model was a one-dimensional model that used one quantum number to describe the distribution of electrons in the atom. The only information that was important was the size of the orbit‚ which was described by the n quantum number. Schrödinger’s model allowed the electron to occupy three-dimensional space. It therefore required three coordinates‚ or three quantum numbers‚ to describe the orbitals in which electrons can be found. The three coordinates that
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