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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