Money Thinking
Hidden Numbers

MariaIntroduction
This interview is based on the game "Hidden Numbers". Maria answers correctly when she can see a different number of "cents". Her analogy to money does not help her choose between 5.38 and 5.3824.

Comments: Text in italics
Interviewer: Text in red
Maria: Text other colour

Interviewer:
In this game, you have two mystery numbers and try to guess which is larger.

doors

Interviewer:
See the decimal point in both numbers?

Maria:
Yes. I will need to see behind the front doors first.

3 - 3

Maria:
They're the same, so I'll check the next doors after the point.

3.5 - 3.2

Maria:
Well that's not so hard because it's approximately 3 dollars fifty and 3 dollars twenty, so the top number must be bigger.

good

Maria:
Great!!!

doors

Interviewer:
So you'll have another go?

Maria:
Yes...I'll just check the first numbers..

5 - 5

Maria:
So, I'll need to look behind the next doors like before.

5.3 - 5.3

Maria:
Ummm... it still could be either, so I'll need to look at both these.

5.38 - 5.38

Maria:
The two numbers seem to be the same, but that isn't one of the choices, so I don't know what to do.

Interviewer:
Do you want to open any more doors?

Maria:
OK...these last two doors.

5.38 - 5.3824

Interviewer:
What do you think now?

Maria:
Do I have to choose one of them? I don't know what to do when they're the same at the start. I'm not sure if the 2 and the 4 at the end makes it bigger or smaller.

 4.1 and 4.1629

Interviewer:
What if I changed the problem to 4.1 and 4.1629?

Maria:
Are there any doors to open?

Interviewer:
No, they are all open. Which one would be the bigger number now?

Maria:
Well the top is $4 and 10 cents, and the bottom one is $4 and 16 cents, so it's bigger, the bottom number.

Interviewer:
Good!