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Earn +20 ptsQ: Are rational numbers are closed under addition subtraction division or multiplication?
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Continue Learning about Algebra
Is 8 over 9 an irrational number?
Any addition, subtraction, multiplication, or division of rational numbers gives you a rational result. You can consider 8 over 9 as the division of 8 by 9, so the result is rational.
What operations of rational expressions require a common denominator?
addition and subtraction, you dummy
What are irrational numbers closed under?
Irrational numbers are not closed under any of the fundamental operations. You can always find cases where you add two irrational numbers (for example), and get a rational result. On the other hand, the set of real numbers (which includes both rational and irrational numbers) is closed under addition, subtraction, and multiplication - and if you exclude the zero, under division.
Can you add two rational numbers and get an irrational number?
No. The set of rational numbers is closed under addition (and multiplication).
What operations are polynomials closed under?
+,-,X only
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