Real Number System Practice

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What is the Real Number System?

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The Real Number System includes all the numbers that can be found on the number line, including rational numbers (like integers and fractions) and irrational numbers (like square roots of non-perfect squares and pi).

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Define Rational Numbers.

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Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

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Define Irrational Numbers.

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Irrational numbers are numbers that cannot be expressed as a simple fraction; they have non-repeating, non-terminating decimal expansions.

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What are Natural Numbers?

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Natural numbers are the set of positive integers starting from 1, 2, 3, and so on.

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What are Whole Numbers?

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Whole numbers are the set of natural numbers including zero: 0, 1, 2, 3, and so on.

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What are Integers?

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Integers are whole numbers that can be positive, negative, or zero, such as -3, -2, -1, 0, 1, 2, 3.

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How do you convert a decimal to a fraction?

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To convert a decimal to a fraction, write the decimal over 1, multiply the numerator and denominator by 10 for each digit after the decimal point, and simplify.

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What is the square root of a number?

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The square root of a number is a value that, when multiplied by itself, gives the original number. For example, @@ ext{if } x^2 = 9, ext{ then } x = 3 ext{ or } -3.$$

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