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Example 7: Write three numbers whose decimal expansions are non-terminating non-recurring. Example 8: Find three different irrational numbers between the rational numbers 5/7 and 9/11. Question 6 Question 9
Read MoreExample 6: Look at several examples of rational numbers in the form p/q (q ≠ 0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property…
Read MoreExample 5: What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1/17 ? Perform the division to check your answer. Question 4 Question 6
Read MoreExample 4: Express 0.99999 …. in the form p/q . Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense. Question 3 Question 5
Read MoreExample 3: Express the following in the form p/q , where p and q are integers and q ≠ 0. (i) 0.666… (ii) 0.4777… (iii) 0.001001001… Question 2 Question 4
Read MoreExample 2: You know that 17 = 0.142857142857… Can you predict what the decimal expansions of 2/7 , 3/7 , 4/7, 5/7, 6/7 are, without actually doing the long division? If so, how? Question 1 Question 3
Read MoreExample 3: Show how √5 can be represented on the number line. Example 4: Classroom activity (Constructing the ‘square root spiral’) Question 2 Ex: 1.3 | Question 1
Read MoreExample 2: Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number. Question 1 Question 3 & 4
Read MoreExample 1: Write the following in decimal form and say what kind of decimal expansion each has : (i) 36/100 (ii) 1/11 (iii) 4 x 1/8 (iv) 3/13 (v) 2/11 (vi) 329/400 Ex: 1.2 | Question 3 & 4 Question…
Read MoreExample 4: State whether the following statements are true or false. Give reasons for your answers. Every natural number is a whole number. Every integer is a whole number. Every rational number is a whole number. Question 3 Ex: 1.2…
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