Irrational Numbers

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What is an irrational number?

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An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-repeating and non-terminating.

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CCSS.8.NS.A.1

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List some examples of irrational numbers.

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Examples of irrational numbers include √2, √3, π (pi), and e (Euler's number).

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CCSS.8.NS.A.1

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How do you estimate the square root of a number?

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To estimate the square root, find two perfect squares between which the number lies and then approximate the value.

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CCSS.8.NS.A.2

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CCSS.8.NS.A.2

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CCSS.6.NS.C.6C

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How do you order irrational numbers from least to greatest?

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To order irrational numbers, first approximate their values and then arrange them based on these approximations.

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CCSS.8.NS.A.2

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CCSS.8.NS.A.2

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CCSS.8.NS.A.2

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

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A number is rational if it can be expressed as a fraction of two integers. If it cannot, it is irrational.

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CCSS.8.NS.A.1