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🏗️ Adding and Subtracting Four-Digit Numbers

Stack big numbers in neat columns and work through carrying and borrowing until adding and subtracting thousands feels as easy as tens.

2
lessons
~20 min
to learn
🔢 Math
subject
Ages 6–12
level
Start the course →

What you’ll learn

  1. Four-Digit ColumnsAdd and subtract numbers up to four digits with formal column methods, carrying and exchanging across columns.Four-digit numbers add a thousands place, but the column method is unchanged: line up every place and work from the right. Carry a 1 when a column tops 9 (3,482 + 2,156 = 5,638) and exchange when a top digit is too small (5,204 − 1,867 = 3,337), even when the exchange ripples across a zero.
  2. Fluent Within 1,000Add and subtract within 1,000 fluently, choosing efficient methods and checking with estimates.Fluency is being both quick and accurate. Add three-digit numbers by place (456 + 237 = 600 + 80 + 13 = 693) and subtract by jumping back in pieces (623 − 158 = 465) or with column exchange. Choose the method that fits the numbers, and estimate first to make sure the answer is sensible.

Questions this course answers

In 3,482, what does the 3 stand for?

The 3 is in the thousands place, so it means 3 thousands (3,000).

What is 3,482 + 2,156?

Adding each column from the right, with a carry in the tens, gives 5,638.

What is 5,204 − 1,867?

Exchanging across the columns gives 5,204 − 1,867 = 3,337.

When a column adds to more than 9, you...

Carrying moves an extra ten (or hundred, or thousand) into the next column left.

What is 623 − 158?

Jump back 100, 50, then 8: 523, 473, 465.

Grounded in trusted sources

  • Khan Academy Kids
  • PBS Kids — early math
  • NAEYC — early math learning
  • Britannica Kids

Every Wunder lesson is built from real, reputable sources — never invented.

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