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Lesson ⁦3-6⁩: Multiply by a Two-Digit Number

Math · Fifth Grade, Primary · Unit 3: Multiplication · First Semester

A 10-question quiz; after every question you'll see the right answer with an explanation.
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What will you learn in this lesson?

Students multiply numbers by a 2-digit number by finding two partial products and adding them. The lesson builds on the distributive property and multiplying by multiples of ten.

  • Multiplies a 2-digit number by a 2-digit number
  • Multiplies a 3-digit number by a 2-digit number
  • Estimates the product to check whether the answer is reasonable

💡 Tip: A common mistake is forgetting the zero when multiplying by the tens digit. In 23 × 14, calculate 23 × 4 = 92, then 23 × 10 = 230, and the sum is 322.

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Worked examples from the Multiply by a Two-Digit Number lesson questions

Find 23 × 14
  • 322
  • 312
  • 332
  • 115
✓ 322
23 × 4 = 92 and 23 × 10 = 230, then 92 + 230 = 322.
Find 45 × 32
  • 1,440
  • 1,350
  • 1,430
  • 225
✓ 1,440
45 × 2 = 90 and 45 × 30 = 1,350, then 90 + 1,350 = 1,440.
Show more examples (3)
Find 36 × 25
  • 900
  • 800
  • 890
  • 252
✓ 900
36 × 5 = 180 and 36 × 20 = 720, then 180 + 720 = 900.
Find 124 × 13
  • 1,612
  • 1,512
  • 1,602
  • 496
✓ 1,612
124 × 3 = 372 and 124 × 10 = 1,240, then 372 + 1,240 = 1,612.
A chair costs 85 riyals, and a school bought 24 chairs. How much did it pay?
  • 2,040 riyals
  • 1,940 riyals
  • 2,140 riyals
  • 510 riyals
✓ 2,040 riyals
85 × 4 = 340 and 85 × 20 = 1,700, then 340 + 1,700 = 2,040 riyals.

FAQ about the Multiply by a Two-Digit Number lesson

How do I calculate 45 × 32?

45 × 2 = 90 and 45 × 30 = 1,350, then add: 90 + 1,350 = 1,440.

Why do we put a zero in the second row when multiplying by a 2-digit number?

Because we are multiplying by the tens digit: the 3 in 32 has a value of 30, and multiplying by 30 makes the product a multiple of ten.

How do I study the lesson Multiply by a Two-Digit Number and test myself on it?

Start the lesson quiz on Study with Ghada: 10 questions from the Math Fifth 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 5 - Semester 1 lessons in the same order as the book, and every question is reviewed and approved by a teacher before students see it.

Unit 3 lessons: Multiplication

⁦3-1⁩ Multiplication Patterns ⁦3-2⁩ Distributive Property ⁦3-3⁩ Estimate Products ⁦3-4⁩ Multiply by a One-Digit Number ⁦3-5⁩ Problem-Solving Strategy: Draw a Picture ⁦3-7⁩ Multiplication Properties ⁦3-8⁩ Problem-Solving Investigation: Choose the Best Strategy All Math Fifth Grade, Primary lessons →
← ⁦3-5⁩ Problem-Solving Strategy: Draw a Picture ⁦3-7⁩ Multiplication Properties →