Mathematics
Real Numbers
वास्तविक संख्याएँ
Real Numbers is a Class 9 Mathematics topic in the Number Systems chapter. Students learn how rational and irrational numbers together form the real number system, represent them on the number line, and distinguish between their decimal expansions. The topic develops understanding of terminating and non-terminating decimals, recurring and non-recurring forms, and the key properties of real numbers under addition, subtraction, multiplication, and division. It also builds a foundation for working confidently with numbers in algebra and geometry.
Practice questions
What type of number is ( (4+\sqrt{6}) )?EasyLevel 6What type of number is ( (7-\sqrt{3}) )?EasyLevel 6What is the value of ( \sqrt{13}\times\sqrt{13} )?EasyLevel 6What is the value of ((√15)²)?EasyLevel 6What is the value of \(\lvert -18\rvert\)?EasyLevel 6What is the value of \(|6-14|\)?EasyLevel 6Which is an irrational number between (3) and (4)?EasyLevel 6Which is an irrational number between (4) and (5)?EasyLevel 6How many irrational numbers are there between any two distinct real numbers?EasyLevel 6How many real numbers are there between any two distinct real numbers?EasyLevel 6What is the value of \(\sqrt{0}+\sqrt{100}\)?EasyLevel 6A student says that \(\sqrt{2}+\sqrt{8}\) is a rational number because both terms contain square roots. Which evaluation of this statement is correct?EasyLevel 6What is the value of \(\sqrt{121}+\sqrt{169}\)?EasyLevel 6What is the value of \(\sqrt{225} \div \sqrt{9}\)?EasyLevel 6What is the value of \(2\sqrt{3}\times 3\sqrt{3}\)?EasyLevel 6Which of the following statements is correct on the basis of decimal expansions?EasyLevel 6A student classifies the number 0.101001000100001… as rational because it contains only the digits 0 and 1. Which is the correct evaluation of the student's conclusion?EasyLevel 6What is the simplified form of ( \sqrt{2}+\sqrt{18} )?EasyLevel 6What is the simplified surd form of \(\sqrt{125}\)?MediumLevel 1What is obtained by simplifying (√147)?MediumLevel 6