Exploring Rational and Irrational Numbers

The video tutorial introduces rational and irrational numbers, explaining their differences. Rational numbers can be expressed as fractions or decimals, including whole numbers, terminating, and repeating decimals. Examples include 0.3 and 0.3 repeating. Irrational numbers cannot be written as fractions and include non-terminating, non-repeating decimals like pi. The video also covers square roots of perfect and non-perfect squares, providing examples to help distinguish between rational and irrational numbers.

What are the two main categories of numbers in the number system?

• Decimals and fractions

• Whole numbers and natural numbers

• Rational and irrational numbers

• Integers and fractions

Which of the following can be written as a fraction?

• Non-terminating decimal

• Square root of 2

• Pi

• 0.3 repeating

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Which of the following is a perfect square?

• 20

• 25

• 30

• 35

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What type of decimal is 3.14159...?

• Terminating

• Repeating

• Non-terminating and non-repeating

• Whole number

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Which of the following is an irrational number?

• 0.5

• 1/3

• Square root of 2

• 4

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Which of the following is a rational number?

• Square root of 3

• Non-terminating decimal

• Pi

• 0.75

Which of the following is a non-terminating, non-repeating decimal?

• Pi

• 1/2

• 0.333...

• 0.25

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Which of the following is a terminating decimal?

• 0.333...

• 0.25

• Square root of 2

• Pi

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Which of the following numbers is rational?

• Square root of 5

• 0.6

• Pi

• Non-terminating decimal

Which of the following is a square root of a perfect square?

• Square root of 20

• Square root of 30

• Square root of 25

• Square root of 35