Lesson ⁦5-5⁩: Multiply a Two-Digit Number by a One-Digit Number Without Regrouping

Math · Fourth Grade, Primary · Unit 5: Multiplying by a One-Digit Number · First Semester

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What will you learn in this lesson?

In this lesson we multiply a two-digit number by a one-digit number when the product of the ones is no more than 9, such as 3 × 23. We multiply the ones, then the tens, and write the product.

  • Multiplies a two-digit number by a one-digit number without regrouping
  • Uses models and place value to explain the steps of multiplication
  • Estimates the product to check that it is reasonable
  • Solves multiplication word problems

💡 Tip: Think of the number by its place value: 3 × 23 = 3 × 20 + 3 × 3 = 60 + 9 = 69. This explains why we multiply the ones and the tens separately.

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Worked examples from the Multiply a Two-Digit Number by a One-Digit Number Without Regrouping lesson questions

What is 23 × 3?
  • 69
  • 26
  • 66
  • 96
✓ 69
We multiply the ones: 3 × 3 = 9, then the tens: 2 × 3 = 6, so the answer is 69.
What is 41 × 2?
  • 82
  • 43
  • 81
  • 84
✓ 82
1 × 2 = 2 ones, and 4 × 2 = 8 tens, so the answer is 82.
Show more examples (3)
What is 12 × 4?
  • 48
  • 16
  • 84
  • 44
✓ 48
2 × 4 = 8 ones, and 1 × 4 = 4 tens, so the answer is 48.
What is 31 × 3?
  • 93
  • 34
  • 39
  • 63
✓ 93
1 × 3 = 3 ones, and 3 × 3 = 9 tens, so the answer is 93.
What is 22 × 4?
  • 88
  • 26
  • 86
  • 48
✓ 88
2 × 4 = 8 ones, and 2 × 4 = 8 tens, so the answer is 88.

FAQ about the Multiply a Two-Digit Number by a One-Digit Number Without Regrouping lesson

How do I multiply 2 × 34?

I multiply the ones, 2 × 4 = 8, then the tens, 2 × 3 = 6 tens, so the product is 68.

When don't I need to regroup in multiplication?

When the product in each place is 9 or less, like 4 × 21, where 4 × 1 = 4 and 4 × 2 = 8, so the product is 84.

How do I study the lesson Multiply a Two-Digit Number by a One-Digit Number Without Regrouping and test myself on it?

Start the lesson quiz on Study with Ghada: 10 questions from the Math Fourth Grade, Primary question bank. After each answer you'll see the right answer with an explanation, and any questions you miss move to “Review my mistakes” until you master them.

Are Study with Ghada quizzes free and aligned with the curriculum?

Yes, completely free. They're built on the Math - Grade 4 - Semester 1 lessons in the same order as the book, and every question is reviewed and approved by a teacher before students see it.