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

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## vwiley

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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