Real Number System
Math ⇒ Number and Operations
Real Number System starts at 8 and continues till grade 12.
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See sample questions for grade 10
Express 0.16 (where 6 is repeating) as a fraction in simplest form.
Express 0.6 (where 6 is repeating) as a fraction in simplest form.
Express 0.777... as a fraction in simplest form.
Express 3.25 as a fraction in simplest form.
If x = √5 and y = 2, what is x + y? Is the result rational or irrational?
If x = 2/7, write x as a decimal up to 4 decimal places.
Is the number 0.123456789101112... (where the digits are written in order) rational or irrational?
Is the number 1.01001000100001... (where the number of zeros between ones increases by one each time) rational or irrational?
Which of the following is a non-terminating, repeating decimal?
(1) 0.25
(2) 0.333...
(3) 0.5
(4) 0.123456...
Which of the following is a perfect square?
(1) 20
(2) 36
(3) 50
(4) 99
Which of the following is a rational number?
(1) √3
(2) 0.5
(3) π
(4) √2
Which of the following is a terminating decimal?
(1) 1/3
(2) 0.125
(3) 0.333...
(4) π
Fill in the blank: The decimal expansion of a rational number is either ________ or terminating.
Fill in the blank: The decimal expansion of an irrational number is ________ and non-terminating.
Fill in the blank: The number 0 is a ________ number.
Fill in the blank: The number -5/2 is a ________ number.
Is the number 0.101001000100001... (where the number of zeros between ones increases by one each time) rational?
Is the product of a nonzero rational number and an irrational number always irrational?
Is the square root of 81 a rational number?
State whether the following statement is true or false: Every integer is a rational number.
