4 and 5 Digit Addition Worksheets

Quick answer: 4 and 5 digit addition adds large whole numbers by lining up the places and carrying a ten, hundred or thousand to the next place when a column adds to 10 or more. This page has 120 free printable worksheets with answer keys, for grades 3 to 5. Updated October 2026.

4 and 5 digit addition worksheets to print (PDF)

These 4 and 5 digit addition worksheets show what the generator prints: 4-digit problems with regrouping, 5-digit problems, a page that adds 4-digit and 3-digit numbers, and the answer key. Click a picture for the PDF, or use the generator above to make a new set.

About multi-digit addition

By grade 4, children use the standard algorithm to add any whole numbers, as the Common Core standards for grade 4 number and operations in base ten say (4.NBT.B.4). These 4 and 5 digit addition worksheets practice column addition, where regrouping can happen in several columns in a row.

How to add 4-digit numbers

Take 4,738 + 2,596:

1. Ones: 8 + 6 = 14. Write 4, carry 1.
2. Tens: 3 + 9 + 1 = 13. Write 3, carry 1.
3. Hundreds: 7 + 5 + 1 = 13. Write 3, carry 1.
4. Thousands: 4 + 2 + 1 = 7. The answer is 7,334.

4 and 5 digit addition worksheets: how often does a problem carry?

The longer the numbers, the more carries a problem has. This table compares 3-digit, 4-digit and 5-digit addition, using exact counts of all the ordered pairs of numbers of each length. A carry is counted whenever a column, with the carry from the column to its right, adds up to 10 or more:

Only 7% of 4-digit pairs have no carrying, and only 4% of 5-digit pairs. A 4 and 5 digit addition worksheet with random numbers therefore always practices regrouping. The average 5-digit problem has 2.5 carries, which is why 5-digit problems take longer than 4-digit ones.

4 digit addition worksheets: the number of carries

For 4 digit addition worksheets, the table below shows how the problems divide by the number of carries. Two or three carries are the most common, and a problem with four carries, where every column carries, happens in about one problem in 11:

5 digit addition worksheets: more carries, longer chains

With 5 digit addition worksheets, the carries go further. The same count for 5-digit numbers is below, and three or four carries are the most common:

A chain of three or more carries in a row happens in 29% of the 5-digit problems and in 23% of the 4-digit ones, so children need to be ready to pass a carry along several times. 60% of 5-digit sums have six digits.

Large number addition: when the carry runs through the nines

Large number addition is hardest when a carry meets a column that already adds up to nine. The carry turns that column to 10, and the carry passes on. These five problems have the longest chains:

Multi digit addition worksheets: 20 practice problems with answers

These 20 problems are a fair sample of what the generator prints for 4 and 5 digit addition, ten of each length. The table shows the number of carries and the answer, with commas to separate the thousands:

4 and 5 digit addition: reading the numbers

Before children add large numbers, they should be able to read and write them. This table shows 4-digit and 5-digit numbers in words and in place value. The comma goes after the thousands, so that the digits are easy to read:

4 and 5 digit addition with partial sums

Some children find the partial sums method easier than carrying. They add each place separately, starting with the biggest, and then add the partial sums. For 4 and 5 digit addition this method is slower, but it shows exactly how the place values work, and it is the method that many textbooks teach before the standard algorithm:

4 and 5 digit addition with numbers of different lengths

When a 4-digit number is added to a 3-digit or 2-digit number, the main difficulty is to line up the places. The shorter number must start in the ones column, and the missing places can be filled in with zeros. The generator’s “4 digits and 3 digits” setting makes problems like these:

Mental math for 4 and 5 digit addition

Not every 4 and 5 digit addition problem needs a column. When the numbers are round, children can add the thousands and then add the rest in their head. This table shows how:

4 digit addition with regrouping: how to check with casting out nines

A reliable check for 4 digit addition with regrouping is casting out nines. Add the digits of each number until one digit is left (the digit root), add the roots of the two numbers, and compare the result with the digit root of the answer. If they differ, the answer has a mistake. The check does not prove that an answer is right, but it catches most errors:

Estimating 4 and 5 digit addition

As with smaller numbers, an estimate is a quick check for 4 and 5 digit addition. Round each number to the nearest thousand and add:

4 and 5 digit addition word problems

Large numbers appear in real situations such as the sizes of crowds, the length of trips and the numbers of things in a factory. These six word problems use numbers of 4 and 5 digits:

Common mistakes in 4 and 5 digit addition

The mistakes in 4 and 5 digit addition are mostly about carrying and lining up. This table shows the wrong answers that come from two typical mistakes:

A child who shifts the second number one column to the left has not lined up the places. Grid paper, with a box for every digit and a gap for the commas, prevents this.

Choosing the settings for 4 and 5 digit addition worksheets

The generator has settings for each kind of 4 and 5 digit addition practice. This table shows what each setting prints and who it suits:

How 4 and 5 digit addition is taught from grade 3 to grade 5

In grade 3, children add within 1,000 and get ready for bigger numbers, and many classes begin 4-digit addition at the end of the year. In grade 4, the standard says that children should add multi-digit whole numbers fluently with the standard algorithm, and the 4 and 5 digit addition worksheets on this page are aimed at this skill. In grade 5, children use the same method with decimals, so the habits they learn here, such as lining up the places and writing the carries, matter for years to come.

A place value chart for 4 and 5 digit addition

A place value chart is the best tool for a child who loses track of the columns. Draw five boxes labeled ten thousands, thousands, hundreds, tens and ones, and write one digit in each box. Add the boxes from right to left, and write any carry above the next box. After a few days, most children no longer need the chart, but they keep the habit of working one place at a time. The place value chart tool prints a blank chart for this.

Helping at home with 4 and 5 digit addition

Parents can help with 4 and 5 digit addition without being experts. These suggestions work well:

• Ask for an estimate first. “About how much do you think it is?” helps the child to see whether an answer is sensible.
• Let the child explain a carry. If they can say why the 1 goes above the next column, they understand the method.
• Use real numbers. Add the prices on a shopping list, the distances on a map or the scores in a game, using numbers of 4 and 5 digits.
• Keep sessions short. Ten problems with full attention are better than thirty in a hurry.
• Use the answer key last. A child who checks with casting out nines before looking at the key learns to find their own mistakes.

A five-day plan for 4 and 5 digit addition

Most children in grades 4 and 5 need about a week to become fluent in 4 and 5 digit addition. This plan moves from reading the numbers to word problems. When children are secure, they can return to 3-digit addition for review, or go on to the multiplication worksheets:

Tips

• Estimate to the nearest thousand first: 5,000 + 3,000 = 8,000, so 7,334 is reasonable.
• Grid paper keeps long numbers lined up; our grid paper worksheet does this for you.
• Check by adding the numbers again in the other order.

How big can the answer be in 4 and 5 digit addition?

Adding two four-digit numbers gives at most 19,998, and two five-digit numbers at most 199,998, so the answer can have one more digit than the numbers you started with. The table shows the range and the largest number of carries:

The most carries happen with numbers like 9,999 + 9,999, where every column carries. When you check an answer, a quick estimate (round both numbers to the nearest thousand) catches most place value slips.