Lesson ⁦3-1⁩: Multiplication Patterns

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 discover patterns when multiplying by multiples of 10, 100, and 1,000, so they can calculate products like 7 × 8,000 mentally using basic facts and counting zeros.

  • Uses basic facts and patterns to multiply multiples of 10, 100, and 1,000
  • Mentally multiplies two numbers that are each multiples of ten
  • Completes and explains multiplication patterns

💡 Tip: Watch out when the basic fact ends in zero: 50 × 40 = 2,000 because 5 × 4 = 20 and then we add two zeros, so the product has three zeros.

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Worked examples from the Multiplication Patterns lesson questions

Find 6 × 400
  • 2,400
  • 240
  • 24,000
  • 24
✓ 2,400
6 × 4 = 24, then we add the two zeros from 400: 2,400.
Find 7 × 8,000
  • 56,000
  • 5,600
  • 560,000
  • 15,000
✓ 56,000
7 × 8 = 56, then we add the three zeros: 56,000.
Show more examples (3)
Find 30 × 50
  • 1,500
  • 150
  • 15,000
  • 80
✓ 1,500
3 × 5 = 15, then we add two zeros (one zero from each factor): 1,500.
Find 400 × 600
  • 240,000
  • 24,000
  • 2,400,000
  • 2,400
✓ 240,000
4 × 6 = 24, and the factors have 4 zeros altogether, so the answer is 240,000.
Complete the pattern: 9 × 5 = 45, 9 × 50 = 450, 9 × 500 = □
  • 4,500
  • 45,000
  • 450
  • 4,050
✓ 4,500
Each time one factor gets one more zero, the product gets one more zero: 9 × 500 = 4,500.

FAQ about the Multiplication Patterns lesson

How do I calculate 400 × 600 mentally?

Multiply the basic fact 4 × 6 = 24, then add the number of zeros in the factors, which is four, so the product is 240,000.

What is 7 × 8,000?

7 × 8 = 56, then add three zeros, so the product is 56,000.

How do I study the lesson Multiplication Patterns 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.