wunder beta🔢 Adding and Subtracting Large Numbers
Use column addition and subtraction on numbers with five, six, or more digits - including tricky subtractions like 500,000 - 234,178 with lots of regrouping.
2
lessons
~15 min
to learn
🔢 Math
subject
Ages 6–12
level
What you’ll learn
- Column AdditionFluently add whole numbers with more than four digits using columns and carrying.Column addition scales to any size: line up ones under ones, add each column from the right, and carry a ten whenever a column passes 9. For 34,567 + 28,945 the carries give 63,512. The neat alignment is what turns a scary sum into easy steps.
- Column Subtraction with ExchangesSubtract large numbers using columns with multiple exchanges, including across zeros.When a top digit is too small, exchange from the column to its left. In 500,000 - 234,178 the zeros can't lend, so the exchange ripples from the 5, giving 265,822. Check any subtraction by adding the answer back to what you took away.
Questions this course answers
What is the single most important step in column addition?
If place values line up, you only add single digits.
In 34,567 + 28,945, the ones column is 7 + 5 = 12. What do you do?
12 means 1 ten and 2 ones, so carry the ten.
Why is 500,000 - 234,178 tricky?
A zero can't lend, so the exchange ripples from the 5.
500,000 - 234,178 = ?
After exchanging across the zeros, the answer is 265,822.
Grounded in trusted sources
- Khan Academy
- BBC Bitesize - Maths
- NRICH - University of Cambridge
- Math is Fun
Every Wunder lesson is built from real, reputable sources — never invented.
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