3-Digit x 2-Digit — Multiply & Divide Pathway
Multiplying a 3-digit number by a 2-digit number
- This uses the same column method as 2-digit x 2-digit.
- Multiply by the ones first, then by the tens.
- Add a zero placeholder for the tens row.
- Add both rows together for the final answer.
Example: 213 x 24
- Step 1: 213 x 4 = 852.
- Step 2: 213 x 20 = 4260.
- Step 3: Add: 852 + 4260 = 5112.
- Answer: 5112.
Your turn
- Try: 124 x 13.
- 124 x 3 = 372.
- 124 x 10 = 1240.
- Add: 372 + 1240 = 1612.
Common Mistakes to Avoid
- Forgetting the zero placeholder in the tens row. This shifts all digits one place left.
- Losing track of carries across three columns. Work slowly and check each column.
Real-Life Example
A cinema has 213 seats and sells tickets for 24 pounds each for a charity screening. 213 x 24: 213 x 4 = 852, 213 x 20 = 4260, 852 + 4260 = 5112 pounds raised.
Extra Support Hints
- Do the ones row first, then the tens row (with the zero), then add.
- Estimate first: 200 x 25 = 5000, so your answer should be near 5000.