Expanded
column addition: To add together numbers that have more than two digits, we can use column
addition. There are two ways to do it. The method shown here is called expanded
column addition. The other method is column addition.
Let's Do an Example: Add 346+5371. Let’s add 346 and 537 using expanded
column addition.
2. Start by writing the two numbers out
like this, with digits that have the
same place value lined up one above the
other. It might help you to label the place
values, but you don’t have to.3. Now we’re going to add each
of the digits in the top row to the
digits that sit beneath them in the
bottom row, starting with the ones. 4. First, add 6 ones and 7 ones. The
answer is 13 ones. On a new line,
write 1 in the tens column and 3 in the
ones column.5. When we add together
the 4 and 3, we’re
actually adding 40 and 30.
The answer is 70. On a new
line, write 7 in the tens column
and zero in the ones column.6. Next, we’re going to add
the hundreds together.
We add 300 and 500 to give 800. On a new line, write 8 in
the hundreds column, 0 in the
tens column, and 0 in the
ones column. 7. Now we have added the
digits in the bottom row
to the digits in the top row,
we add the three lines in our
answer together: 13 + 70 + 800 = 8838. So, 346 + 537 = 883
2. Start by writing the two numbers out
like this, with digits that have the
same place value lined up one above the
other. It might help you to label the place
values, but you don’t have to.
Now we're going to look at another method of column
addition. This is quicker than expanded column addition because instead of writing ones, tens, and
hundreds on separate lines, we put them all on one line.
1. Let’s use column addition to add 4368 and 2795.
