Grade 3 Multiplication: 2-Digit × 1-Digit with Regrouping
Master multiplication with carrying
What You'll Learn
- Regroup (carry) in multiplication
- Keep track of carried digits
- Solve any 2-digit × 1-digit problem
📖When to Regroup
When multiplying the ones gives 10 or more, you need to regroup. For 46 × 7: 6 × 7 = 42. Write 2, carry 4. Then 4 × 7 = 28, plus 4 = 32. Answer: 322.
📖Step by Step
1) Multiply ones: 6 × 7 = 42. Write 2, carry 4. 2) Multiply tens: 4 × 7 = 28. 3) Add the carry: 28 + 4 = 32. 4) Write 32 next to the 2 = 322.
Write the carried number small above the tens place so you do not forget it!
The most common mistake is forgetting to add the carried digit. Always check your work!
Worked examples
Real problems from the practice worksheets, solved one step at a time.
Example 1
76 × 4 = ?
- Break apart 76 by place value: 76 = 70 + 6.
- 70 × 4 = 280
- 6 × 4 = 24
- Add all parts: 280 + 24 = 304
Answer: 304
Example 2
26 × 8 = ?
- Break apart 26 by place value: 26 = 20 + 6.
- 20 × 8 = 160
- 6 × 8 = 48
- Add all parts: 160 + 48 = 208
Answer: 208
Example 3
87 × 5 = ?
- Break apart 87 by place value: 87 = 80 + 7.
- 80 × 5 = 400
- 7 × 5 = 35
- Add all parts: 400 + 35 = 435
Answer: 435
Practice Worksheets
2-Digit × 1-Digit with Regrouping (Set A)
Multiply 2-digit numbers with carrying
10 problems2-Digit × 1-Digit with Regrouping (Set B)
More practice with regrouping
10 problems2-Digit × 1-Digit with Regrouping (Set C)
Additional regrouping practice
10 problems2-Digit × 1-Digit with Regrouping (Set D)
Keep working on regrouping
10 problems2-Digit × 1-Digit with Regrouping (Set E)
Master regrouping in multiplication
10 problems