Exploring Rational and Irrational Numbers

This video tutorial introduces the concepts of rational and irrational numbers, explaining their definitions and differences. It covers examples of each type, including fractions, terminating and repeating decimals for rational numbers, and non-repeating, non-terminating decimals for irrational numbers. The tutorial also includes practice problems to help students identify and differentiate between rational and irrational numbers.

How would you describe a rational person?

• Reasonable and logical

• Emotional and impulsive

• Crazy and unpredictable

• Indecisive and confused

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CCSS.RL.11-12.6

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

Which of the following is NOT part of the real number system?

• Whole numbers

• Integers

• Imaginary numbers

• Rational numbers

What is a rational number?

• A number that cannot be written as a fraction

• A number that can be written as a fraction

• A number that is always positive

• A number with no repeating pattern

Which of the following is a rational number?

• π (pi)

• 0.333... (repeating decimal)

• 7.171010... (non-repeating decimal)

• √2 (square root of 2)

What type of decimal is 3.25?

• Non-repeating decimal

• Terminating decimal

• Repeating decimal

• Non-terminating decimal

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Which of the following is an irrational number?

• 0.75

• √50

• 3.25

• 1/2

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CCSS.8.NS.A.1

Why is π (pi) considered an irrational number?

• It is a non-terminating, non-repeating decimal

• It is a repeating decimal

• It can be written as a fraction

• It is a whole number

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CCSS.8.NS.A.1

What makes the square root of 24 an irrational number?

• It is a perfect square

• It is a non-terminating, non-repeating decimal

• It can be written as a fraction

• It is a whole number

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CCSS.8.NS.A.1

Is the number 15 rational or irrational?

• Irrational, because it is a whole number

• Rational, because it is a non-terminating decimal

• Rational, because it is a whole number

• Irrational, because it is a non-terminating decimal

Why is 4.73 considered a rational number?

• It is a repeating decimal

• It is a non-terminating decimal

• It is a terminating decimal

• It is a whole number

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CCSS.7.NS.A.2D

CCSS.8.NS.A.1