Q.1: Find five rational numbers between 1 and 2. [Answer: 7/6, 8/6, 9/6, 10/6, 11/6]
Q.2: Find five rational numbers between 3/5 and 4/5. [Answer: 19/30, 20/30, 21/30, 22/30, 23/30]
Q.3: Locate √3 on the number line.
Q.4: 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.
Q.5: Find the decimal expansions of 10/3, 7/8 and 1/7.
Q.6: Show that 0.3333…=0.3¯ can be expressed in the form p/q, where p and q are integers and q ≠ 0.
Q.7: 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.
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Answer: 7/6, 8/6, 9/6, 10/6, 11/6
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