The Number Continuum · Number Systems

Irrationality and Real Numbers

Defining irrational numbers and understanding how they fill the gaps on the number line to create the set of real numbers.

Key Questions

  1. 1Why is it impossible to express the square root of two as a simple fraction?
  2. 2How does the existence of irrational numbers change our definition of a continuous number line?
  3. 3In what ways do non terminating non recurring decimals differ from periodic decimals?

CBSE Learning Outcomes

CBSE: Number Systems - Class 9
Class: Class 9
Subject: Mathematics
Unit: The Number Continuum
Period: Number Systems

Suggested Methodologies

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Laws of Exponents and Radicals

Extending the rules of exponents to include rational powers and simplifying complex radical expressions.

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