Irrational Numbers and Their Operations
Math ⇒ Number and Operations
Irrational Numbers and Their Operations starts at 8 and continues till grade 12.
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See sample questions for grade 11
Explain why the sum of a rational and an irrational number is always irrational.
Explain why π (pi) is considered an irrational number.
If a = √2 and b = -√2, what is a + b?
If x = √2 and y = √8, what is x × y?
If x = √3 and y = √12, what is x × y? Is the result rational or irrational?
If x = √3 and y = 2, what is x + y? Is the result rational or irrational?
If x = √5 and y = √20, simplify x × y.
Is the number 0.101001000100001... (where the number of zeros between ones increases by one each time) rational or irrational?
Which of the following expressions is irrational?
(1) √16
(2) √2 + √3
(3) 2/3
(4) 0.5
Which of the following is a rational number?
(1) √8
(2) √9
(3) √11
(4) √13
Which of the following is an example of an irrational number?
(1) 1.41421356...
(2) 1.5
(3) 3/7
(4) 0.333...
Which of the following is irrational?
(1) √81
(2) √50
(3) 0.75
(4) 1/2
Fill in the blank: The decimal expansion of a rational number is either terminating or ________.
Fill in the blank: The decimal expansion of an irrational number is ________ and non-repeating.
Fill in the blank: The number e (Euler's number) is an example of an ________ number.
Fill in the blank: The product of two irrational numbers can be ________.
Is the number √(2/3) rational or irrational?
Is the number √49 rational or irrational?
Is the number 0.101001000100001... (where the number of zeros between ones increases by one each time) rational or irrational?
Is the sum of √2 and -√2 rational or irrational?
