Irrational and Real Numbers

Explore irrational numbers, the real number system, and the property of denseness.

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QUESTION OF

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Views #: 99
Questions #: 10
Time: 15 minutes
Pass Score: 80.0%
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Can Every Irrational Number Be Written as a Fraction?

1 pts
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True or False: Every irrational number can be expressed in the form p/q, where p and q are integers and q ≠ 0.

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Identify the Irrational Numbers

3 pts
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Select every irrational number in the list below.

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Composition of the Real Numbers

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The set of real numbers R is defined as the union of which two sets?

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Complete the Definition of a Real Number

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Missing

A real number is one that can be written as an unending ______, positive, negative, or zero.

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Transcendental Numbers

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\(\pi\) and \(e\) are examples of a special type of irrational number called:

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Sort the Numbers: Rational or Irrational?

4 pts
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Numbers
×0.75
×1/2
×√3
×7.3030030003...
Rational
Irrational

Classify each number as Rational or Irrational

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The Property of Denseness

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Between any two rational numbers, there is always another rational number. This is known as the property of:

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Evaluate the Square Root of a Fraction

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Evaluate \(\sqrt{\dfrac{9}{25}}\) and give the result as a simplified fraction.

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What Distinguishes R from Q?

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Which axiom distinguishes the set of real numbers R from the set of rational numbers Q?

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Identify the Number-System Words

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Click or touch the word(s) you want to choose

The natural numbers, integers, and rational numbers are all subsets of the real numbers.

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Year 9