number system

Example 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

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Example 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

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Example 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

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Example 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

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Example 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…

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Example 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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Example 3: Find five rational numbers between 3/5 and 4/5. Question 2 Question 4

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Example 2: Find six rational numbers between 3 and 4. Question 1 Question 3

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Example 1: Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q≠ 0?   Class 9 | Home Question 2

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Example 7: Show that 0.3333… = 0.3 (with a bar on 3) can be expressed in the form p/q , where p and q are integers and q ≠ 0. Example 8: Show that 1.272727… = 1.27 (with a bar…

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