subject

Real Number System

Math ⇒ Number and Operations

Real Number System 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 Real Number System. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 8
Express √49 as a rational number.
Express 0.125 as a fraction in simplest form.
Express 0.6 (repeating) as a fraction in simplest form.
Is the number 0.272727... rational or irrational?
Is the number 1.01001000100001... (where the number of zeros between ones increases by one each time) rational or irrational?
Is the number 2.121221222... (where the number of 2's increases by one each time) rational or irrational?
Write 0.272727... as a fraction in simplest form.
Write 0.333... as a fraction in simplest form.
Write 7.25 as a fraction in simplest form.
Write the number -2.75 as a fraction in simplest form.
A student claims that the product of two irrational numbers is always irrational. Is this claim correct? Justify your answer.
Express √50 in simplest radical form and state whether it is rational or irrational.
If a number has a non-terminating, repeating decimal expansion, what type of number is it?
Prove that the sum of √2 and √3 is an irrational number.
Write the number 0.0001 as a fraction in simplest form.