Real Number System
Math ⇒ Number and Operations
Real Number System starts at 8 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Real Number System.
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See sample questions for grade 8
Express √49 as a rational number.
Express 0.125 as a fraction in simplest form.
Express 0.6 (repeating) as a fraction in simplest form.
Is the number 0.272727... rational or irrational?
Is the number 1.01001000100001... (where the number of zeros between ones increases by one each time) rational or irrational?
Is the number 2.121221222... (where the number of 2's increases by one each time) rational or irrational?
Write 0.272727... as a fraction in simplest form.
A student claims that the product of two irrational numbers is always irrational. Is this claim correct? Justify your answer.
Which of the following is a non-terminating, repeating decimal?
(1) 0.75
(2) 0.333...
(3) 0.5
(4) 1.414213...
Which of the following is a rational approximation of π?
(1) 3.14
(2) 2.71
(3) 1.41
(4) 1.73
Which of the following is a rational number?
(1) √2
(2) π
(3) 0.75
(4) √3
Which of the following is a rational number?
(1) π
(2) √3
(3) 7/8
(4) √5
Fill in the blank: The decimal expansion of an irrational number is ________ and non-repeating.
Fill in the blank: The multiplicative identity in the set of real numbers is ________.
Fill in the blank: The number √25 is equal to ________.
Fill in the blank: The product of a nonzero rational number and an irrational number is always ________.
Is every integer a rational number?
Is the number -√9 a rational number?
Is the number 0 considered a real number?
Is the product of two irrational numbers always irrational?
