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Date: 08/13/98 at 21:18:45
From: melisha

How do I add problems with 4 sets of numbers? For example:

457 + 458 + 954 + 958 =
```

```
Date: 08/14/98 at 00:04:52
From: Doctor Mike

Hi Melisha,

I suppose you want to do it yourself and not depend on a calculator.
That's great. When I do this by hand, I start off by lining them up
vertically like this:

457
458
954
+ 958
-----

That way I see all the numbers in the "ones" column together. Do you
know what I mean by that? The far right digits in each number stand
for so many ones. That's the 7, 8, 4, and another 8.

The next column over has a 5 in that column for each of the 3 numbers.
That 5 means 5 "tens" or 50, so that's called the "tens" column.

The far left column is where the numbers stand for so many hundreds,
like "4" hundreds or "9" hundreds.

So, let's go. The first thing I do is to add up all the numbers in
the ones column: 7 + 8 + 4 + 8 = 27. Now 27 is 20 + 7, or 2 tens and
7 ones, so I write the 7 in the ones place in the answer, and as just
a reminder, I write the 2 on top in the tens column for the next step:

2
457
458
954
+ 958
-----
7

Next I add all the stuff in the tens column: 2 + 5 + 5 + 5 + 5 = 22.
Keep in mind that what I am doing here is adding tens - so I have 22
tens. That is 20 tens plus 2 tens. The 20 tens is 2 hundred. (In money
terms, that is like saying that 20 dimes is 2 dollars.) What I do with
this is write the 2 tens as a 2 in the tens place of the answer. And
as just a reminder again I write the 2 hundreds on top in the hundreds
column for the next step:

2
457
458
954
+ 958
-----
27

We are almost done. I add all the hundreds 2 + 4 + 4 + 9 + 9 = 28
which means 28 hundreds, or 2 thousands and 8 hundreds. This I write
down like this:

457
458
954
+ 958
-----
2827

The method depends on knowing about the "place value" system we use to
write down numbers. That is, 1234 means 1 thousand, 2 hundred, thirty
(3 tens) and 4 ones. Which "place" the digits are in says what they
mean.

The thing I did of writing a number temporarily on top, so I would
remember, is sometimes called "carrying." It's like carrying a number
fron one place to another. You carry 20 ones to the tens column where
it is 2 tens. You carry 20 tens to the hundreds column where it is 2
hundreds.

So that's what really happens when we add. Pretty fantastic! I hope
this was what you needed to know. Please write back if you need to
know something else.

- Doctor Mike, The Math Forum
Check out our web site! http://mathforum.org/dr.math/
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