Irrational Numbers and Their Operations
Math ⇒ Number and Operations
Irrational Numbers and Their Operations 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 Irrational Numbers and Their Operations.
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See sample questions for grade 8
If a = √3 and b = 2, what is a × b?
If x = √2 and y = √2, what is x × y?
If x = √2 and y = √3, what is x × y?
If x = √2 and y = √8, what is x × y?
If x = √2, what is 2x?
Is the number 0.101001000100001... (where the number of zeros between ones increases by one each time) rational or irrational?
Is the number 0.123456789101112... (where the digits are written in order) rational or irrational?
Consider the number 0.101001000100001... where the number of zeros between ones increases by one each time. Is this number rational or irrational? Explain your answer.
Which of the following is a property of irrational numbers?
(1) They can be written as a ratio of two integers
(2) Their decimal expansion terminates
(3) Their decimal expansion neither terminates nor repeats
(4) They are always negative
Which of the following is a rational number?
(1) √7
(2) π
(3) 0.75
(4) √5
Which of the following is an example of an irrational number?
(1) 0.333...
(2) 1.41421356...
(3) 2/3
(4) 0.5
Which of the following is irrational?
(1) √9
(2) √12
(3) 0.5
(4) 1/3
Fill in the blank: The decimal expansion of an irrational number is ________ and ________.
Fill in the blank: The number √49 is ________.
Fill in the blank: The number π is approximately equal to ________.
Fill in the blank: The product of √2 and √8 is ________.
Is the sum of a rational number and an irrational number always irrational?
Is the sum of two irrational numbers always irrational?
True or False: Every irrational number is a real number.
True or False: The decimal expansion of an irrational number is non-terminating and non-repeating.
