## Thursday, 28 January 2016

### Food for Thought: Rational Numbers on a Number Line?

Enter your response to the following in "Comments".

1. This comment has been removed by the author.

2. No. Recurring decimals can be put to represent them

1. Recurring decimals can be expressed as fractions (e.g. 0.3333..... = 1/3)
So, you have yet answered the question why the question is invalid.

3. This comment has been removed by the author.

4. no, you can out a dot on top of a recurring decimal or turn it into fractiøns

1. You are describing recurring decimal; however, have not answered to the question if it is invalid.

5. no. Decimals can be represented with a line

1. 0.05 is a decimal that is also a rational number. Therefore, it can be represented on the line.
Think how you could refine the explanation.

2. 0.05 is a decimal that is also a rational number. Therefore, it can be represented on the line.
Think how you could refine the explanation.

6. No, I do not agree.
.------------------o
I------------------I
-5 4

1. This comment has been removed by the author.

2. You need to explain why you do not agree.
What are you trying to show with the line? Pls elaborate.

7. No,rational numbers can be represented in the number line because they can be expressed as a fraction.

1. Think again... are there numbers that are not rational yet appear on the line?

8. This comment has been removed by the author.

9. This comment has been removed by the author.

10. No you cannot represent them on a number line

1. Why? Elaborate.

11. I do not agree. As it is possible to put 1/3 on the number line and 1/3 is a positive interger.

1. Note that ⅓ (i.e. One third) is not an integer.
Now, could you think of how you want to represent rational numbers on a number line.
From the diagram, is it possible to find something that does not belong to the set of rational number?g

12. No. You can place recurring decimals on the number line if you add a dot on top of the recurring digits

1. You have focused on the rational number.
Now, think of how you want to represent rational numbers on a number line.
From the diagram, is it possible to find something that does not belong to the set of rational number?

13. No, rational numbers can be represented on a number line. Rational numbers are represented by fractions and fractions can be found on a number line.

1. Now, think of how you want to represent rational numbers on a number line.
From the diagram, is it possible to find something that does not belong to the set of rational number?

14. No. It can represent real numbers.

15. No, rational numbers can be represented as fractions. Fractions can be marked on the number line. Therefore, rational numbers can be represented on the number line and Juliet's statement is deemed invalid.

16. Yes,it is because any recurring decimals and fractions are also numbers and can be represented on the number line.

17. No.It can represent real numbers so it must be able to represent rational numbers.

18. No, as we can show any type of numbers on number lines how ever small it is.

19. No.It can represent real numbers so it must be able to represent rational numbers.

20. i do not agree it is able to put rational numbers on a number line

21. No. Rational numbers are real numbers, which can be represented on the number lines. Based on the number line, the possible answers are -5, -4, -3, -2, -1, 0 1, 2, 3. 1, 2, 3 are rational numbers that can be represented on the number line as they are whole numbers as well, and they can be represented as rational numbers through 3/1, 2/1, or 1/1

22. I don't agree. Rational numbers can be represented as fractions in which the denominators and numerators are integers, which means they can be converted to decimals which can be expressed on the number line.

23. I agree because there can be an infinite amount of rational numbers such as: 1/3, 1/33, 1/333 and so on.

24. No, it can represent rational numbers

25. No.Rational numbers are everywhere.

26. No.Recurring decimals cannot be represented as they will go on forever

27. It can be converted to fractions

28. No.Rational numbers can appear on number lines by linking circles

29. No, rational numbers can be represented as fractions. Fractions can be marked on the number line. Therefore, rational numbers can be represented on the number line and Juliet's statement is deemed invalid.

30. I agree because there can be an infinite amount of rational numbers such as: 1/3, 1/33, 1/333 and so on.

31. I agree with her because there is no such line to represent only rational numbers between integers and there are like infinite rational numbers and irrational numbers present between every integers so if with draw one straight line with the two dots on each integers,it would be expressing m as a real number.

Note: only a member of this blog may post a comment.