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
Every point on the real number line represents what?EasyLevel 5Which option is not a real number?EasyLevel 5What is the value of \(\sqrt{81}\)?EasyLevel 5Which of the following statements correctly describes a property of irrational numbers?EasyLevel 5What type of real number is (0.125)?EasyLevel 5Which number is both rational and real?EasyLevel 5What is the simplest form of \(\sqrt{32}\)?EasyLevel 5What is obtained by simplifying \(\sqrt{45}\)?EasyLevel 5Which of the following is the simplest form of \(\sqrt{75}\)?EasyLevel 5What is the value of √2 × √18?EasyLevel 5What is the value of √48 ÷ √3?EasyLevel 5A student says that \(0.272727\ldots\) is an irrational number because its decimal expansion does not terminate. Which evaluation of the statement is correct?EasyLevel 5A square-shaped park has each side measuring 6 metres. What is the straight-line distance from one corner to the opposite corner?EasyLevel 5What is the simplest form of \(\sqrt{27}+\sqrt{12}\)?EasyLevel 5A student says that \(0.101001000100001\ldots\) is a rational number because its decimal expansion is infinite. Is the student's statement correct or incorrect?EasyLevel 5Which of the following numbers lies between 5 and 6?EasyLevel 5What is the value of \( -\sqrt{9} \)?EasyLevel 5What is the value of \( |-12| \)?EasyLevel 5What is the value of \(|4-9|\)?EasyLevel 5What is obtained by converting (1.25) into a fraction?EasyLevel 5