# Problem to Ponder: Decimals

Hello, Math and Numeracy Members,

It has been a bit since we had a math puzzle. I came across this one in an email from open middle problems and thought this would be a good problem to ponder.

Here's the problem: Using the digits 1 through 9 exactly once, place a digit on each link to make three decimals whose sum is as close to 1 as possible when added together.

0._ _ _
0._ _ _
+  0._ _ _
______________

Here is a link to the problem, in case you want to see the image of it.

Let's have some fun, and share your guesses, ponderings, wonderings, etc.

Brooke

### Decimal problem

First, link won't let me in, but I can see the problem here.

My first thought is to use 2, 3 and 4 for the first places since they add up to 9

.... except then the rest of the places will "carry" -- BUT it won't "break" if it goes over 1 prob'ly the next smallest ones in the next place... but maybe 1, 2 and 4 would be better b/c then 3, 5 and 6 could go in the next one...

### .999 is the answer I found so far.

.4 _ _

.3 _ _

.1_ _

So far so good....

I came up a total of .999 but I don't want to give up the rest of the answer.

I've found four completely different answers so far.

Starting with the last column it has to end in a nine, so if the three numbers add up to 9 or 19  then you can work on the other two columns to equal nine.