Adding Five-, Six-, and Seven-Digit Numbers
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How to Add Five-, Six-, and Seven-Digit Numbers

In the last lesson, you learned how to add 4-digit numbers.

Now, let's add even bigger numbers. The steps are the same. 

Let's solve an example together.

Adding Five-Digit Numbers

24,789 + 34,765 = ?

1️⃣ First, write the numbers in column form.

five-digit addition in column form.

2️⃣ Next, add column by column, starting with the Ones digits.

Ones column highlighted

9 + 5 = 14

14 is greater than 9. 

This means we need to regroup.

      To regroup means to turn 10 from a lower place into 1 in a higher place value.

Key Point:

So, we regroup 10 Ones into 1 Ten.

Tip: Regrouping is also called "carrying the 1 over".

Regrouping Ones into Tens, five-digit addition.

Next, we add the Tens digits, including the 1 that we carried over.

Tens column

1 + 8 + 6 = 15

We need to regroup 15 Tens into 1 Hundred and 5 Tens.

Regrouping Tens into Hundreds

Next, we add the Hundreds digits.

Adding hundreds column, five-digit addition column form diagram

Make sure to include the 1 that was regrouped from the Tens place.

1 + 7 + 7 = 15

We need to regroup, or carry the 1, again.

Regrouping hundreds into thousands.

Next, we add the Thousands digits.

Adding Thousands column, five-digit addition

1 + 4 + 4 = 9

We don't need to regroup. So we just write 9.

Adding thousands column, five-digit addition

Lastly, we add the Ten Thousands digits.

Adding ten thousands column, five-digit addition.

We've got our final answer!

The sum of 24,789 and 34,765 is 59,554.

Great job. 👏

Adding Six- and Seven-Digit Numbers

Adding six- and seven-digit numbers is exactly like adding five-digit numbers. 

      Add column by column, starting from the Ones. Regroup when the sum in one column is 10 or more. 

Key Point:

It doesn't matter how many digits there are, just follow these steps.

Think you can do it? Try the practice.

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