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 9
Explain why √7 is an irrational number.
Explain why the sum of a rational number and an irrational number is always irrational.
If a = √2 and b = -√2, what is a + b? Is the result rational or irrational?
If x = √2 and y = √8, what is x × y? Is the result rational or irrational?
If x = √2 and y = 3, what is x × y? Is the result rational or irrational?
If x = √3 and y = √5, what is x + y? Is the result 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 number 2.236067977... (the decimal expansion of √5) rational or irrational?
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 is non-terminating and non-repeating
(3) They are always negative
(4) They are always positive
Which of the following is a rational number?
(1) √11
(2) π
(3) 0.75
(4) √7
Which of the following is a rational number?
(1) √13
(2) 0.6
(3) π
(4) √2
Which of the following is an example of an irrational number?
(1) 1.41421356...
(2) 0.5
(3) 2/3
(4) 1.25
Fill in the blank: The decimal expansion of √3 is ________.
Fill in the blank: The decimal expansion of an irrational number is ________ and ________.
Fill in the blank: The decimal expansion of an irrational number is ________ and non-repeating.
Fill in the blank: The product of a nonzero rational number and an irrational number is always ________.
Is the number √2/2 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 number 2.236067977... (the decimal expansion of √5) rational or irrational?
