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When the sum in a place value column is greater than we carry over to the next column to the left. Carrying is the same as regrouping by exchanging. For example, ones for ten or tens for hundred.
Add:
| Write the numbers so the digits line up vertically. | |
| Add the digits in each place.
Add the ones: |
|
| Write the
in the ones place in the sum.
Add the ten to the tens place. |
|
| Now add the tens:
Write the 11 in the sum. |
Add:
| Write the numbers so the digits line up vertically. |
 |
| Add the digits in each place value.
Add the ones: Write the in the ones place in the sum and carry the ten to the tens place. |
 |
| Add the tens:
Write the in the tens place in the sum and carry the hundred to the hundreds |
 |
| Add the hundreds:
Write the in the hundreds place. |
 |
Add:
| Write the numbers so the digits line up vertically. | |
| Add the digits in each place value. | |
| Add the ones:
Write the in the ones place of the sum and carry the ten to the tens place. |
|
| Add the tens:
Write the in the tens place and carry the hundred to the hundreds place. |
|
| Add the hundreds:
Write the in the hundreds place and carry the thousand to the thousands place. |
|
| Add the thousands
.
Write the in the thousands place of the sum. |
When the addends have different numbers of digits, be careful to line up the corresponding place values starting with the ones and moving toward the left.
Add:
| Write the numbers so the place values line up vertically. | |
| Add the digits in each place value. | |
| Add the ones:
Write the in the ones place of the sum and carry the to the tens place. |
|
| Add the tens:
Write the in the tens place and carry the to the hundreds place. |
|
| Add the hundreds:
Write the in the hundreds place and carry the to the thousands place. |
|
| Add the thousands
.
Write the in the thousands place and carry the to the ten thousands place. |
|
| Add the ten-thousands
.
Write the in the ten thousands place in the sum. |
This example had three addends. We can add any number of addends using the same process as long as we are careful to line up the place values correctly.
Earlier in this section, we translated math notation into words. Now we’ll reverse the process. We’ll translate word phrases into math notation. Some of the word phrases that indicate addition are listed in [link] .
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