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Rational & Irrational Numbers
What is the difference between rational and irrational numbers?
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Rational & Irrational Numbers
In this lesson you will be able to state the definitions of rational and irrational numbers and apply the definition to recognize rational and irrational numbers.
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Review A rational number is any number that can be expressed in the form a/b where a and b are both integers and b is not zero. Includes: +/- whole numbers, including zero (integers) All fractions and mixed numbers Any decimal that terminates or repeats
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Irrational Numbers An irrational number is any number which cannot be expressed as a fraction a/b where a and b are both integers and b is not zero. - Includes decimals that never terminate and repeat
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Irrational numbers must be represented by a symbol. The “……”
If irrational number never terminate or repeat, how can it be represented? Irrational numbers must be represented by a symbol. The “……” Square Roots of Numbers that are NOT perfect squares. π Or any number included with π
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Practice Which of the following are irrational numbers?
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Conclusion In this lesson, you learned that an irrational number is a decimal that continues forever without repeating and that irrigational number must be represented by symbols. You can also determine whether a number is irrational.
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