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 10
If a = √7 and b = -√7, 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 = √3 and y = √12, what is x × y?
If x = √5 and y = 2, what is x + y? Is the result rational or irrational?
Is the number √18 rational or irrational?
Is the number √2/2 rational or irrational?
Which of the following is a property of irrational numbers?
(1) They can be written as a ratio
(2) Their decimal expansion is non-terminating and non-repeating
(3) They are always less than 1
(4) They are always negative
Which of the following is a property of irrational numbers?
(1) They can be written as a ratio
(2) Their decimal expansion is repeating
(3) They cannot be written as a ratio of two integers
(4) They are always less than 1
Which of the following is a rational number?
(1) √2
(2) 0.333...
(3) π
(4) √5
Which of the following is a rational number?
(1) √7
(2) π
(3) 0.5
(4) √5
Fill in the blank: The decimal expansion of an irrational number is ________ and non-repeating.
Fill in the blank: The decimal expansion of π is ________.
Fill in the blank: The product of √2 and √8 is ________.
Fill in the blank: The product of √3 and √12 is ________.
Is the product of a nonzero rational number and an irrational number always irrational?
True or False: Every irrational number can be written as a fraction.
True or False: The difference between two irrational numbers is always irrational.
True or False: The product of two irrational numbers is always irrational.
