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 11

Express 0.272727... as a fraction in simplest form.

If a real number x satisfies x³ = 27, what is the value of x?

If x is a real number such that x^2 = 9, what are the possible values of x?

Is the number 0.101001000100001... (where the number of zeros between ones increases by one each time) rational or irrational?

Which property of real numbers is illustrated by the equation (a + b) + c = a + (b + c)?

Write the decimal expansion of \frac{1}{8}.

Consider the decimal 0.12345678910111213... formed by writing the natural numbers in order after the decimal point. Is this number rational or irrational?

Given the equation x^2 - 5x + 6 = 0, determine whether the solutions are rational or irrational. Justify your answer.

If x is a real number such that x^4 = 16, list all possible real values of x.

Prove that there is no rational number whose square is 12.