## Friday, 23 January 2015

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

1. No. Number lines has the potential to contain all sorts of numbers, fractions, decimals... Even sin, cos and tan numbers. It is possible to use the "shortcut" method to denote the rational numbers by marking just on the line.

1. Marcus, Group 4

2. For the shortcut method you mentioned, would it account for all the rational numbers that fall within the range given?

2. No. Number lines can contain all numbers.

1. When you mentioned "No" - are you agreeing or disagreeing to Juliet?

3. No. It is possible to represent all sorts of numbers like fractions decimal , pi, sin, e .......We can use the 'shortcut' to represent numbers on the number line. We must remember to include arrows, a tail and other essential stuff so that our number line is accurate. We should consider using a dot to represent numbers and a considerable space between numbers.

1. Aryan, Group 4

2. You have described what can be represented on the number line.
So, look back at the question, how would you answer?

4. No, I do not agree with what Juliet says. Number lines can represent all numbers. They can represent pi, fractions and decimals. It depends on how you show your number line, using the shortcut by only listing the numbers stated or by listing down all the numbers in between the numbers stated. Benedict, group 2.

1. Think again, how would you represent the rational numbers on the number line? After drawing the line, does it contain numbers that are not rational?

5. No, it is possible to express any number in a number line.

Tjin Yao, group 2.

1. Think again, how would you represent the rational numbers on the number line? After drawing the line, does it contain numbers that are not rational?

6. I do not agree with Juliet as you can represent any number on the number line.

1. Hannah, group 3.

2. Think again, how would you represent the rational numbers on the number line? After drawing the line, does it contain numbers that are not rational?