Just imagine that you start from zero and go on walking along the number line arranged horizontally in the positive direction. As far as your eyes can see, there are numbers, numbers and numbers. You have to collect some of the numbers. If you stop at 8 units distance, then find on the way i.) A rational number which is non-terminating ii.) A decimal number which can be written as an irrational number. iii.) Two irrational numbers whose sum is rational. iv.) Two different irrational numbers whose product is rational.
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Just imagine that you start from zero and go on walking along the number line arranged horizontally in the positive direction. As far as your eyes can see, there are numbers, numbers and numbers. You have to collect some of the numbers. If you stop at 8 units distance, then find on the way i.) A rational number which is non-terminating ii.) A decimal number which can be written as an irrational number. iii.) Two irrational numbers whose sum is rational. iv.) Two different irrational numbers whose product is rational.
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