Number System — Important Questions
Gujarat Board · Class 9 · Mathematics
45 important questions from Number System for Gujarat Board Class 9 Mathematics, with answers. Part of the Gujarat Board Class 9 Mathematics syllabus.
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Important Questions from Number System
Express 0.75 as a fraction in its simplest form.
Which of the following numbers are irrational? (Select all correct answers)
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√5, π, 0.101001000100001...
√5 is irrational because 5 is not a perfect square. π is irrational (though 22/7 is a rational approximation). 0.101001000100001... is non-terminating non-recurring, making it irrational. √16 = 4, which is rational, and 22/7 is a rational number.
Calculate: √12 + √27
True or False: The sum of a rational and an irrational number is always irrational.
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True
This statement is true. If r is rational and s is irrational, then r + s is always irrational. If it were rational, then s = (r + s) - r would be the difference of two rationals, making s rational, which contradicts our assumption.
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