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.

  1. Example 1

    76 × 4 = ?

    1. Break apart 76 by place value: 76 = 70 + 6.
    2. 70 × 4 = 280
    3. 6 × 4 = 24
    4. Add all parts: 280 + 24 = 304

    Answer: 304

  2. Example 2

    26 × 8 = ?

    1. Break apart 26 by place value: 26 = 20 + 6.
    2. 20 × 8 = 160
    3. 6 × 8 = 48
    4. Add all parts: 160 + 48 = 208

    Answer: 208

  3. Example 3

    87 × 5 = ?

    1. Break apart 87 by place value: 87 = 80 + 7.
    2. 80 × 5 = 400
    3. 7 × 5 = 35
    4. Add all parts: 400 + 35 = 435

    Answer: 435