Podcast
Questions and Answers
Which of the following numbers are rational? (Select all that apply)
Which of the following numbers are rational? (Select all that apply)
Which is irrational?
Which is irrational?
If a square has an area of ______ cm², then one side is 10 cm
If a square has an area of ______ cm², then one side is 10 cm
100
Study Notes
Rational vs. Irrational Numbers
- Rational numbers can be expressed as a fraction (a/b) where a and b are integers and b≠0.
- Examples include 1.68, -5/4.
- Irrational numbers cannot be expressed as a fraction. Their decimal representation neither terminates nor repeats.
- Examples include √6, 2.010010001.
Comparing Values
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To find the largest value among π, √24, and 4.2, calculate the decimal approximations.
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π ≈ 3.14159
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√24 ≈ 4.89898
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4.2
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√24 has the largest value.
Identifying Rational and Irrational Numbers
- 0.333... is rational because it's a repeating decimal
- √8 is irrational because it has a non-repeating, non-terminating decimal expansion.
- √14 is irrational.
Determining the Area's Side Length
- If an area is 200 cm², the side length cannot be determined without more information since area is not directly related to side length.
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Description
Test your understanding of rational and irrational numbers with this quiz. Explore concepts such as fractional representations, comparing values, and identifying various number types. Put your mathematical reasoning to the test!
