## Saturday, 25 January 2014

### Real Numbers: Points to Ponder #1... Rational Numbers on a Number Line?

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#### 12 comments:

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2. I do not agree with Juliet. A rational number is any number that can be written as a ratio of two integers i.e. it can be written as a fraction where both the numerator and denominator are integers. Since in the statement it says that integers can be represented on a number line, the question in blue is incorrect.

3. I do not agree with Juliet. Rational numbers can fit into a number line. So the statement is correct.

4. I do not agree with Juliet. A rational number is a number that can be expressed as a fraction a/b such that a and b are integers and b is not zero. Since integers can be represented on a number line, rational numbers can too.

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6. I have no idea

7. Juliet is correct. π is not a rational number

8. Rational Numbers are numbers that can be expressed as a fraction. But not all rational numbers cannot be represented on the number line. 3 is rational but can be represented on the number line. Despite that, I agree that the question is not valid too.

1. Yew Chong, I don't quite get it when you say, "not all rational numbers cannot be represented on the number line". Can you elaborate again with another example to show why the question is not valid?