REAL NUMBERS Q.1 Determine the prime factorization of the number 556920. (1 Mark) (Ans) 23 x 32 x 5 x 7 x 13 x 17 Explanation : Using the Prime factorization‚ we have 556920 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 17 = 23 x 32 x 5 x 7 x 13 x 17 Q.2 Use Euclid’s division algorithm to find the HCF of 210 and 55. (1 Mark) (Ans) 5 Explanation: 5 ‚ Given integers are 210 and 55 such that 210 > 55. Applying Euclid’s division leema to 210 and 55‚ we get 210 = 55 x 3 + 45 ………
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Counting Number : Is number we can use for counting things: 1‚ 2‚ 3‚ 4‚ 5‚ ... (and so on). Does not include zero; does not include negative numbers; does not include fraction (such as 6/7 or 9/7); does not include decimals (such as 0.87 or 1.9) Whole numbers : The numbers {0‚ 1‚ 2‚ 3‚ ...} There is no fractional or decimal part; and no negatives: 5‚ 49 and 980. Integers : Include the negative numbers AND the whole numbers. Example: {...‚ -3‚ -2‚ -1‚ 0‚ 1‚ 2‚ 3‚ ...} Rational numbers: It can
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A rational number is a number that can be written as a ratio of two integers. The decimal of a rational number will either repeat or terminate. There is a way to tell in advance whether a rational number’s decimal representation will repeat or terminate. When trying to find a pattern in the relationship between rational numbers and their decimals‚ it is best to start with a list. A random list of rational numbers and their decimal values was made in order to find a pattern. The list included ½‚ 5/6
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RATIONAL NUMBERS In mathematics‚ a rational number is any number that can be expressed as the quotient or fraction p/q of two integers‚ with the denominator q not equal to zero. Since q may be equal to 1‚ every integer is a rational number. The set of all rational numbers is usually denoted by a boldface Q it was thus named in 1895 byPeano after quoziente‚ Italian for "quotient". The decimal expansion of a rational number always either terminates after a finite number of digits or begins to repeat the
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In addition‚ stating that the square of rational numbers if being positive will be a square number. Book II explains how to basically represent in three simple methods. The methods are that if the square number is present whenever the squares of two rational numbers are being added; the addition of two new squares is the same thing as if adding two well-known squares; and if the rational number is given will be equal to their difference. The first and the third problem
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6th Grade Lesson Plan Grade Level Content Standard: Number Sense 2.1 Solve problems involving addition‚ subtraction‚ multiplication‚ and division of positive fractions and explain why a particular operation was used for a given situation. Standard Based Objective: When given division problems with fractions‚ students will use the rules for dividing fractions to solve problems with 80% accuracy as measure by student work samples by the end of the week. Materials Paper Pencils White Board
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and count out about 100 cells (approximately). Notice if the cells are: a) Dividing (chromosomes visible‚ no nucleus)‚ b) Not dividing (nucleus visible‚ no chromosomes) Fill in the following table: |Out of about 100 cells: | |Number of Dividing Cells |Number of Cells Not Dividing | |
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RATIONAL NUMBER CLASS IN JAVA AIM To write a program to find the rational form of rational number. ALGORITHM 1. Start the program. 2. Declare the class name as rational and assign num‚ den as two parameters. 3. Declare constructor as rational and numerator and denominator as parameter. 4. Then write to string () method to print the rational class object as a string. 5. To get the GCD value using static method use GCD (int m‚ int n) method. 6. Get the num and den from the
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18 Math 070 Chapter 7 Rational Expressions and Equations (7.1) Sec. 7.1 Simplifying Rational Expressions To reduce an algebraic fraction: factor first‚ then cancel _____________________________. 1. 4w3 28w 2 2. 27 a 3 33 3. y 2 7 y 18 y2 6y 8 19 Math 070 Chapter 7 Rational Expressions and Equations (7.2) Sec. 7.2 Multiplying and Dividing Rational Expressions To multiply algebraic fractions: factor first‚ next cancel __________________________ and then
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Rationale I wanted to format my two lessons plans in a similar fashion even though one focused on reading and the other focused on writing. I broke the lessons up into three parts each. By having a “pre” section before the students began working on the main focus of the lesson‚ the students would be prepared for the task they needed to complete. The “pre” section focuses on the key vocabulary for the day and the teacher would also outline both the language and content objectives for the day so the
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