Subtraction Word Problems
Subtraction of Large Numbers: Subtraction Word Problems
Subtraction Word Problems
Subtraction Word Problems
What you'll learn
- Spot subtraction situations in real-life stories: "left over", "sold", "used", "removed", "empty seats".
- Translate a word problem into a subtraction number sentence.
- Solve multi-step problems that combine subtraction with simple addition.
Key concepts
Level 1 — Keywords that signal subtraction
Verbal: Words like left, remaining, more than, fewer, difference, sold, spent, empty usually mean subtract.
| Keyword | Meaning |
|---|---|
| "left" / "remaining" | total − used |
| "how many more" | bigger − smaller |
| "empty seats" | capacity − filled |
Level 2 — One-step word problems
Example: A cinema hall has 1,250 seats. 875 tickets are sold. How many seats are empty? 1,250 − 875 = 375 empty seats.
Level 3 — Two-step word problems
Example: A shop had 2,000 pens. It sold 640 pens on Monday and 385 on Tuesday. How many pens are left? Step 1: Total sold = 640 + 385 = 1,025. Step 2: Left = 2,000 − 1,025 = 975 pens.
Level 4 — Comparison word problems
Example: Village A has 4,832 people and Village B has 3,910 people. How many more people live in Village A? 4,832 − 3,910 = 922 more people.
Worked example
A stadium can seat 8,500 people. 6,275 tickets have been sold. How many seats are still empty?
Step 1 — Identify the operation: capacity − sold = empty → subtraction.
Step 2 — Set up: 8,500 − 6,275.
Step 3 — Subtract with regrouping: 8,500 − 6,275 = 2,225.
Answer: 2,225 seats are empty.
Common mistakes
| Mistake | Why it happens | Fix |
|---|---|---|
| Adding instead of subtracting | Not reading the question carefully | Underline the keyword ("left", "empty", "more") before choosing the operation |
| Subtracting in the wrong order (smaller − bigger) | Rushing to calculate | Always subtract the smaller total from the bigger total for "how many more" |
| Forgetting a step in two-step problems | Trying to solve in one jump | Write down each step separately before combining |
| Misreading large numbers | Skipping the comma while reading | Read the number aloud using place value before using it |
Quick check
- A library has 3,600 books; 1,845 are borrowed. How many are on the shelf? (1,755)
- Town X has 5,430 people, Town Y has 4,675. How many more in Town X? (755)
- A farmer had 4,000 mangoes, sold 1,250 on day 1 and 980 on day 2. How many are left? (1,770)
- A shop had 900 notebooks, sold 275 in the morning. How many are left in the afternoon? (625)
- Stretch: A train has 1,200 seats. 640 people boarded at the first stop and 275 more at the second stop. How many seats remain? (285)
Revision tip: For every word problem, first write the number sentence (e.g. 8,500 − 6,275 = ?) before calculating.
Open the Practice tab for graded questions on Subtraction Word Problems.
Key Takeaways (TL;DR)
- What you'll learn
- Key concepts
- Worked example
- Common mistakes
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