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Updated 2 months ago

1. Word cloud

120 seconds

Name one kind of number that is rational and one kind that is irrational.

2. Slide

60 seconds

Rational and Irrational Numbers

Rational numbers are numbers that can be written in the form of a fraction, with both the numerator and denominator being whole numbers. Irrational numbers are numbers that cannot be written as a fraction—they have an infinite number of decimal places. Examples of irrational numbers are pi, square roots of prime numbers, and the golden ratio.

3. Slide

60 seconds

Rational and Irrational Numbers

Rational Numbers: Any number that can be written as a fraction, where the numerator and denominator are integers. Examples include 3/2, 5/7, -4/2, etc.

Irrational Numbers: Any number that cannot be written as a fraction, where the numerator and denominator are integers. Examples include √2, π, e, etc.

Real Numbers: The set of numbers that contains both rational and irrational numbers. Examples include all of the numbers listed in concept1 and concept2, plus any number that can be written as a decimal.

4. Slide

60 seconds

Did you know?

The number Pi, which is used to calculate the circumference of a circle, is an irrational number that goes on infinitely without repeating itself. The number e is also an irrational number that is used in calculus. An irrational number can be written as a decimal that never ends and never repeats.

5. Open question

300 seconds

What are some examples of rational and irrational numbers?

6. Open question

300 seconds

How do we recognize the difference between rational and irrational numbers?

7. Personalised Feedback

360 seconds

Can you provide an example of a rational number and an irrational number?

8. Open question

300 seconds

Why is it important to identify rational and irrational numbers?

9. Open question

300 seconds

How could knowing the difference between rational and irrational numbers help you solve math problems?

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