number that is not an integer)‚ 8.6 (a rational number expressed in decimal representation)‚ and π (3.1415926535...‚ an irrational number). As a subset of the real numbers‚ the integers‚ such as 5‚ express discrete rather than continuous quantities. Complex numbers include real numbers as a special case. Real numbers can be divided into rational numbers‚ such as 42 and −23/129‚ and irrational numbers‚ such as pi and the square root of two. A real number can be given by an infinite decimal representation
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number. On the other hand‚ the square root of 8‚ does not come out even‚ when calculated through a calculator‚ the answer is 2.828427125‚ an irrational number. The exact values of these irrational numbers cannot be expressed in decimal form‚ and must be left in radical form because the decimal values are rounded and not completely accurate. These irrational radical numbers are called surds. Surds can also be represented in series. In mathematics‚ given an infinite sequence of numbers (an )‚ a series
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1. Introduction of the lesson. 2. Questioning 3. Explanation 4. Stimulus Variation 5. Black Board Writing. UNIT-VI a) Number System : Natural Number‚ Whole Number‚ Integers‚ Rational Number‚ Irrational Number and Operations with Numbers. b) Polynomial. c) Equations: Linear‚ Simultaneous and Quadratic Equations and their solution. d)
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practiced the Puritan belief. The Puritans believed the Bible was the word of God; they assumed all concepts written were true. The Bible proclaimed killing witches is all right. In 1692‚ in the Puritan town of Salem‚ there was a mass hysteria of witchcraft that took place. The infamous act of denizens accused others of being witches‚ led to trials and to the death of the accused. This hysteria and slaughtering of assumed witches were the Salem Witch Trials. The Salem Witch Trial hysteria started because
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written as a fraction and as such these are both subsets of rational numbers. Irrational Numbers Numbers that cannot be written as a fraction are called irrational. Example √2‚ √5‚ √7‚ Π. These numbers cannot be written as a fraction so they are irrational. Surds A surd is any number that looks like this √21‚ √15‚ √17. A surd is a root that cannot be written exactly as a decimal or a fraction. They are irrational. Simplifying Surds A surd can be simplified by rewriting the number inside
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Questions: 1] Which of the following is irrational: [Marks:1] A. B. C. D. 2] Find the value of p such that (x -1) is the factor of the polynomial x3+10x2+ px . [Marks:1] A. p = 7 B. p = -7 C. p = 11 D. p = -11 3] Find remainder when is divided by [Marks:1] A. -1 B. 1 C. 2 D. Zero 4] What are the two factors of quadratic polynomial ? [Marks:1] A. (x+8) and (x-8) B. (x+16) and (x-4) C. (x-16) and (x-64) D. (x-8) and (x-8) 5] Given
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Arthur Miller explores many different subjects during The Crucible. One of the most impactful subjects he uses is hysteria‚ when a large group of people have an uncontrollable outburst of emotion or fear. This happens in the play when the town becomes fearful of witches and begins arresting anybody accused. Miller uses the characters to develop a theme around hysteria. Arthur Miller uses Mary Warren to show how hysteria causes the town to fall into pieces because of the destruction‚ hallucination
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characterized by excitement or anxiety‚ irrational behavior or beliefs. Typically‚ it takes a large group of people with the same thoughts or ideas to cause the hysteria to spread. In other words‚ there is strength in numbers. This is portrayed by Abigail and the other girls in The Crucible. In Act III‚ the girls accuse Mary Warren of witchcraft to prevent her from testifying against them. Though multiple people (including Mary) have claimed that the witchcraft accusations are false‚ the court refuses
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The Salem Witch Trial The Salem Witchcraft was a series of undesirable events‚ which was powered by paranoia and fear. Though several witch trials occurred before the Salem Witch Trial‚ this was the most well known of all. Many innocent people were accused of witchcraft which resulted to 19 men and women that were hanged‚ 17 innocents that died in unsanitary prisons‚ and an 80-year old man that was crushed to death by putting stones on top of his stomach until he confesses (movie: The Crucible)
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it is too late‚ and nobody will believe him because his name is no longer good. This shows that having a good name was so important in this society that you would risk your friends being convicted of witchcraft to keep your name ‘white’. Toward the end‚ when Proctor is about to confess to witchcraft‚ he refuses to sign away his name “you have taken my soul‚ leave me my name!” He yells‚ and from this we see there is nothing more important to him. Similarly‚ Judge Danforth is fixated on having a good
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