Give and Take — Class 3 Mathematics (CBSE)
From the current NCERT Maths Mela Grade 3 book, Chapter 12. Buying, paying, and giving change bring addition and subtraction with regrouping to life.
1. Why this chapter matters
Real sums often need regrouping — carrying when ones make a ten, or borrowing when we do not have enough. This chapter strengthens addition and subtraction of larger numbers and links them to money, which we use every day.
2. Core ideas
Idea 1 — Carry when ones make a ten (or tens make a hundred)
364 + 52: add ones (4+2=6), tens (6+5=11 → write 1, carry 1 to hundreds). 364 + 52 = 416.
Method 2 — Borrow when there are not enough
245 − 128: ones 5−8 needs borrowing → borrow 1 ten (15−8=7), then 3−2=1, then 2−1=1 → 117.
Skill 3 — Money is give and take
Add prices to find a total; subtract to find the change.
3. Worked examples
Example 1: Add 276 + 158.
Ones 6+8=14 (carry 1), tens 7+5+1=13 (carry 1), hundreds 2+1+1=4 → 434.
Example 2: Subtract 403 − 167.
Borrow across to get 236. (Check: 236 + 167 = 403.)
Example 3: Riya pays ₹100 for a toy costing ₹65. What change?
100 − 65 = ₹35 change.
4. Activity corner
Set up a shop with price tags. Buy two items, add the prices, and find the change from ₹200. Write:
- The prices I added
- The change I found
- The maths idea (carrying in addition, borrowing in subtraction)
5. Common mistakes
- Mistake: Forgetting to carry the extra ten or hundred. Fix: When a column makes 10 or more, write the ones and carry to the next column.
- Mistake: Subtracting the smaller digit from the larger out of order (e.g., doing 8 − 5 instead of borrowing for 5 − 8). Fix: Keep the order; borrow when the top digit is smaller.
- Mistake: Not checking the answer. Fix: Add back, or estimate, to check.
6. How to write better answers
- Line up ones, tens, and hundreds.
- Add or subtract column by column, regrouping as needed.
- For money, keep the ₹ sign with the answer.
- Check by reversing the operation.
7. Practice set
- Add: 248 + 136.
- Subtract: 350 − 174.
- A book costs ₹85 and a pen ₹40. Total cost?
- Find the change from ₹100 after spending ₹72.
- Add: 199 + 199.
- Check 526 − 287 by adding your answer back.
8. Answer key
- 248 + 136 = 384.
- 350 − 174 = 176.
- 85 + 40 = ₹125.
- 100 − 72 = ₹28 change.
- 199 + 199 = 398.
- 526 − 287 = 239; check: 239 + 287 = 526. ✓
9. Quick revision
- Carry when a column makes ten or more.
- Borrow when the top digit is smaller than the bottom digit.
- Line up ones, tens, and hundreds neatly.
- Money: add prices for totals, subtract for change.
- Check by adding back or estimating.
