Column Addition and Column Subtraction
Table Of Contents
🎬 Math Angel Video: Column Addition and Subtraction Explained
How to Do Column Addition with Carrying?
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Column addition is a method for adding numbers by lining them up vertically, digit by digit.
🛎️ Let’s add 3425 + 782 step by step:
- Line up the numbers by place value
Ones under ones, tens under tens, and so on.
- Start adding from the right (the ones place)
$5 + 2 = 7$ - Move to the tens
$2 + 8 = 10$ → write 0, carry 1 to the next column - Add the hundreds
$4 + 7 = 11$, plus the carried 1 makes 12 → write 2, carry 1 to the next column - Add the thousands
$3 + 0 = 3$, plus the carried 1 makes 4 - Final Answer:
$3425+782=4207$
❇️ Exam Tip: Always start from the right and carry over whenever a column adds up to 10 or more.
How to Do Column Subtraction with Borrowing?
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Column subtraction is a method where you subtract numbers one column at a time, starting from the right.
🛎️ Let’s subtract 876 from 2826 step by step:
- Write 2826 above 876 and align by place value
- Start from the right (ones column):
$6\, -\, 6 = 0$ - Move to the tens:
$2\, -\, 7$ is not possible, so borrow 1 from the hundreds- 8 becomes 7
- 2 becomes 12
- Now: $12\, -\, 7 = 5$
- Hundreds column:
$7\, -\,8$ → again not possible, so borrow 1 from the thousands- 2 becomes 1
- 7 becomes 17
- Now: $17\, -\, 8 = 9$
- Thousands column:
$1\, -\, 0 = 1$ - Final Answer:
$2826\, -\, 876=1950$
❇️ Exam Tip: Always subtract from the right, and borrow when the top digit is smaller than the bottom one.
🍪 Quiz: Practice Column Addition and Subtraction with Carrying and Borrowing
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