How to classify real numbers between rational and irrational numbers

How to classify real numbers between rational and irrational numbers

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial explains the distinction between rational and irrational numbers. Rational numbers can be expressed as fractions, while irrational numbers cannot. Examples of rational numbers include integers and fractions like -10, -20/2, and the square root of 9. Pi is highlighted as a classic example of an irrational number due to its non-repeating, non-terminating decimal form. The tutorial also covers square roots, explaining that while the square root of 36 is rational, the square root of 37 is irrational because it cannot be expressed as a fraction.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What defines a rational number?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of being able to represent a number as a fraction?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Can you provide an example of an irrational number and explain why it is classified as such?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why the square root of 37 is considered an irrational number.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you determine if a number is rational or irrational?

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