Skip to lesson

Math · Grade 4 Math

Chapter 1: Place Value to a Million

Four-Digit Column Addition, Written Out

Four columns, the same rule, and sometimes a fifth digit.

Lesson
7
Time
About 13 minutes
0 of 8 done
Part 1 of 7Let's Learn

Step 1: Let's Learn

Read it, or press Listen and follow the words.

Watch the idea first — 57 seconds. Then read on, and try it yourself in the next step.

Four columns: thousands, hundreds, tens, ones. Line them up, one digit per square, and start from the ones as always. The rule does not change with the size.

Carry after carry

2,648 + 1,975. Ones: 8 + 5 = 13, write 3 carry 1. Tens: 4 + 7 + 1 = 12, write 2 carry 1. Hundreds: 6 + 9 + 1 = 16, write 6 carry 1. Thousands: 2 + 1 + 1 = 4. The answer is 4,623.

A carry past the front

7,859 + 4,386. The thousands make 7 + 4 + 1 = 12. There is no column to the left, so write both digits: 12. The answer is 12,245, a five-digit number.

The comma

A comma every three digits from the right makes 12,245 readable. It does not change the columns; write the digits one per square and add the comma when you read the answer.

Estimate to check

2,648 + 1,975 is about 2,600 + 2,000 = 4,600. 7,859 + 4,386 is about 8,000 + 4,000 = 12,000. An answer far from the estimate means a column slipped.

Step 2: Try It Yourself

Press Next step. Three carries, then a fourth column.

2,648 + 1,975, one move at a time. Then try 7,859 + 4,386 for a fifth digit.
Step 0 of 4

2,648 + 1,975 =

Finished, with a carry past the front.

7,859 + 4,386 = 12,245

  1. 1Ones: 9 + 6 = 15. Write 5, carry 1 to the tens.
  2. 2Tens: 5 + 8 + the carried 1 = 14. Write 4, carry 1 to the hundreds.
  3. 3Hundreds: 8 + 3 + the carried 1 = 12. Write 2, carry 1 to the thousands.
  4. 4Thousands: 7 + 4 + the carried 1 = 12. Write 2, carry 1 to the ten thousands.
  5. 5Ten thousands: only the carried 1. Write 1. 7,859 + 4,386 = 12,245.

Step 3: In Real Life

A town’s two schools

One school has 2,648 pupils, the other 1,975. The council adds them in columns: 8 + 5 = 13, 4 + 7 + 1 = 12, 6 + 9 + 1 = 16, 2 + 1 + 1 = 4. 4,623 pupils, carried three times.

Step 4: Watch an Example

One step at a time.

Watch Priya Add 3,456 and 2,789

Priya writes 3,456 above 2,789, one digit per square.

  1. Step 1

    Ones: 6 + 9 = 15. She writes 5, carries 1.

Step 5: Your Turn

Practice makes it stick.

The Two Schools

Problem 1 of 2

2,648 pupils and 1,975 pupils. How many altogether?

pupils

The Charity Run

Problem 2 of 2

7,859 dollars raised on Saturday and 4,386 on Sunday. Total in dollars?

dollars

Four Columns

1 of 4

3,456 + 2,789

2 of 4

7,859 + 4,386

3 of 4

5,072 + 3,948

4 of 4

9,999 + 1

Step 6: Quick Check

Show what you know.

Question 1 of 2

2,648 + 1,975

Question 2 of 2

The thousands column makes 12 and there is no column to the left. What do you write?

What You Learned

  • Four columns, the same rule: ones first.
  • Carry in as many columns as needed.
  • A carry past the front is the answer’s new first digit.
For the grown-up

This is lesson 1.5 written out. Nothing new happens at four digits except that carries pile up; a child who is unsure should say each column aloud, including the carry, before writing.

Insist on squared paper or a ruled grid. Most four-digit errors are a digit in the wrong column, not a wrong sum.