Boy, do I feel like an idiot....

emc2 · 2008-09-10 04:54:23

Simple 3rd grade math problem:

How many numbers from 1 to 200 have an expanded form that is identical to the standard form? What are they?

mathceleb · 2008-09-10 05:06:02

Sounds like a trick question, since standard form is converted into expanded notation and vice versa.

Even 1 is written as 1 * 10^0.

emc2 · 2008-09-10 05:10:53

Sorry about the question. I didn't post my answer. Anyhow, here it is:

100 = 100 + 0 + 0
200 = 200 + 0 + 0

Is this correct????

I think I've been over-analyzing this simple math problem for my son's homework.

emc2 · 2008-09-10 05:19:46

mathceleb wrote:

Sounds like a trick question, since standard form is converted into expanded notation and vice versa.
Even 1 is written as 1 * 10^0.

LOL - my wife gave that same example.

mathceleb · 2008-09-10 09:46:55

I say that because the Expanded Notation that you did looks simplified. Go here:

You will see the following by pressing the expanded notation button:

Expanded Notation of 100 = (1 x 10^2) + (0 x 10^1) + (0 x 10^0)
Expanded Notation of 100 = (1 x 100) + (0 x 10) + (0 x 1)

and

Expanded Notation of 200 = (2 x 10^2) + (0 x 10^1) + (0 x 10^0)
Expanded Notation of 200 = (2 x 100) + (0 x 10) + (0 x 1)

I think the teacher meant to simplify the zeros, that was a bit tricky in the way it was worded.

Last edited by mathceleb (2008-09-10 09:47:32)

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