system; 2. Identify the elements of the set of real numbers; and 3. Classify real numbers as counting numbers‚ whole numbers‚ integers‚ rational and irrational numbers II. Reference: E-math K-12 edition by Orlando A. Oronce and Marilyn O. Mendoza p. 12-14. III. Subject Matter Topic: The Set of Real Numbers Material: Diagram of the set of real numbers Vocabulary: integers‚ rational numbers‚ irrational numbers Time Frame: 1 day V. Teaching Strategies A. Connecting to Prior Knowledge Encourage
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iterations. 4. A loop that iterates a specific number of times. 5. Initialization‚ test‚ and increment A.W. 1. Declare Integer num Declare Integer product = 0 While product < 100 Display “Enter a number to be multiplied by 10” Input num Set product = num * 10 Display product End While 2. Declare Integer num1 Declare Integer num2 Declare Integer sum 3. Declare String condition Do Display “Enter first number to be added” Input num1 Display “Enter second number
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division algorithm to find the HCF of 135 and 225 8. Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m 9. Prove that √3 is irrational. 10. Show that 5 – √3 is irrational 11. Show that any positive odd integer is of the form 6q + 1‚ or 6q + 3‚ or 6q + 5‚ where q is some integer. 12. An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march
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SAT Math Hard Practice Quiz 5. How many integers between 10 and 500 begin and end in 3? Numbers and Operations 1. A bag contains tomatoes that are either green or red. The ratio of green tomatoes to red tomatoes in the bag is 4 to 3. When five green tomatoes and five red tomatoes are removed‚ the ratio becomes 3 to 2. How many red tomatoes were originally in the bag? (A) (B) (C) (D) (E) 6. A particular integer N is divisible by two different prime numbers p and q. Which of the following
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the rule of membership to the set is clear. Example 1.2. The following are examples of sets. 1. The set of counting number less than 5. 2. The set of vowels in the word “mathematics”. 3. The set of cities in the Philippines. 4. The set of positive integers from −2 to 6‚ inclusive. 5. The set of days of the week. 6. The set of monkeys enrolled in Math 1. Objectives: 1. To define sets 2. To specify/ describe sets using the roster methods 3. To present the different types of sets and the relationship between
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correspondence between the set of positive integers and that set. a. The integers greater than 10. This is countably infinite. Starting from the first integer greater than 10‚ which is 11‚ one can infinitely count upwards since there is no boundary on the right side of the number line for this instance. The equation ƒ(x) = x + 11 can be used to show a one-to-one correspondence. x: 1‚ 2‚ 3‚ 4‚ 5‚ 6‚ … ƒ(x): 11‚ 12‚ 13‚ 14‚ 15‚ 16 … b. The odd negative integers. This is countably infinite. Starting from
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your favorite dish with the precision required by an algorithm. 4. Design an algorithm for swapping two 3 digit non-zero integers n‚ m. Besides using arithmetic operations‚ your algorithm should not use any temporary variable. 5. Design an algorithm for computing gcd(m‚ n) using Euclid’s algorithm. 6. Prove the equality gcd(m‚ n) = gcd(n‚ m mod n) for every pair of positive integers m and n. 7. What does Euclid’s algorithm do for a pair of numbers in which the first number is smaller than the second
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Language Learning Units: a) Introduction to C language b) Operators and basic types c) Control flow 1. Write a Program to input three positive integers representing the sides of a triangle and determine whether they form a valid triangle or not. 2. To round off a floating point number to the nearest integer‚ one adds 0.5 to the number and truncates it to an integer. Using this knowledge‚ try to figure out how to round a floating point number to the nearest tenth‚ hundredth‚ etc and implement the same
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Alexandria around 250A.D. started some kind of research on some equations involving more than one variables which would take only integer values.These equations are famously known as “DIOPHANTINE EQUATION”‚named due to Diophantus.The simplest type of Diophantine equations that we shall consider is the Linear Diophantine equations in two variables: ax+by=c‚ where a‚b‚c are integers and a‚b are not both zero. We also have many kinds of Diophantine equations where our main goal is to find out its solutions
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P. I want you to use the %c format code. Problem 4: The scanf Function Write a C program that reads in an integer value from the keyboard via the scanf function and then prints it back onto the screen. By now you should know that scanf seeks an address expression. For example‚ &n is an address expression. Problem 5: Sum of Two Values Write a C program that reads two integer values from the keyboard via the scanf function‚ then adds them together‚ stores the result into a variable called
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