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Subjects

Mathematics

Real Numbers

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.

Topic overview

Concept revision

Real numbers are made up of which numbers?

Real numbers include both rational and irrational numbers. In exams remember the whole number system on the real number line.

Which of the following is a real number?

( \sqrt{5} ) is irrational and every irrational number is real. It can be shown on the real number line.

Which statement is correct?

Natural numbers are a part of real numbers. Smaller sets can be included in a larger number system.

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