Posted by Amelia on Wednesday, December 16, 2009 at 6:32pm.
EXTENDING THE LESSON If you add any two rational numbers, the sum is always a rational number. So, the set of rational numbers is closed under addition. Is the set of rational numbers closed under subtraction. multiplication,and division also? Explain.

6TH GR. ALGEBRA  Marth, Wednesday, December 16, 2009 at 7:00pm
Can you think of any two numbers that, when subtracted, multiplied, or divided, yield a number that is not rational? For example, take the rational numbers 2 and 3.
2  3 = 1
2 * 3 = 6
2 / 3 = 2/3
Are any of the results irrational? And are there any other rational numbers that yield different results?
(I assume a formal proof is not requested).

6TH GR. ALGEBRA  Amelia, Wednesday, December 16, 2009 at 7:19pm
Can you think of any two numbers that, when subtracted, multiplied, or divided, yield a number that is not rational? For example, take the rational numbers 2 and 3.
2  3 = 1
2 * 3 = 6
2 / 3 = 2/3
Are any of the results irrational? And are there any other rational numbers that yield different results?
yes this one 2 * 3 = 6
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