Long multiplication handles two-digit numbers times two-digit numbers. The idea is the same as before: split one number into tens and ones, multiply by each, then add.
What your child will learn
- Multiply a three-digit number by a single digit
- Multiply two two-digit numbers
- Estimate first to check that an answer is sensible
Tens, then ones
For 23 × 14, split 14 into 10 and 4. Then 23 × 10 = 230 and 23 × 4 = 92, and 230 + 92 = 322. An estimate keeps you safe: 23 × 14 is close to 20 × 15 = 300.
Example questions
Here are a few questions like the ones in the first quest. Can you solve them?
1. What is 966 × 7?
Show answer
Answer: 6762. Split 966 into 900 + 60 + 6. 900 × 7 = 6300, 60 × 7 = 420, 6 × 7 = 42. Add them up: 6762.
2. What is 994 × 9?
- 8936
- 8946
- 8955
- 8956
Show answer
Answer: 8946. Split 994 into 900 + 90 + 4. 900 × 9 = 8100, 90 × 9 = 810, 4 × 9 = 36. Add them up: 8946.
3. What is 501 × 8?
- 4008
- 3998
- 4016
- 4018
Show answer
Answer: 4008. Split 501 into 500 + 1. 500 × 8 = 4000, 1 × 8 = 8. Add them up: 4008.
Tips for grown-ups
- Work out real totals: 24 rows of 15 seats, 12 boxes of 36 pencils.
- Always estimate before calculating, then compare.