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Study with Ghada› Math Fifth Grade, Primary› Unit 3

Lesson ⁦3-2⁩: Distributive Property

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 learn the distributive property: breaking one factor into a simpler sum and then multiplying each part. This property helps with mental multiplication and is the basis for multiplication in algebra later on.

  • Uses the distributive property to find products mentally
  • Writes a multiplication expression as the sum of two products
  • Evaluates expressions such as 5 × (10 + 7)

💡 Tip: Break the number into tens and ones, and don't forget to multiply both parts: 4 × 23 = (4 × 20) + (4 × 3), not 4 × 20 + 3.

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Worked examples from the Distributive Property lesson questions

Which of the following expressions equals 4 × 23 by the distributive property?
  • (4 × 20) + (4 × 3)
  • (4 × 20) + 3
  • (4 + 20) × (4 + 3)
  • (4 × 2) + (4 × 3)
✓ (4 × 20) + (4 × 3)
We write 23 = 20 + 3, then multiply 4 by each part and add: (4 × 20) + (4 × 3).
Use the distributive property to find 6 × 42
  • 252
  • 242
  • 246
  • 272
✓ 252
6 × 42 = (6 × 40) + (6 × 2) = 240 + 12 = 252.
Show more examples (3)
Find 5 × (10 + 7)
  • 85
  • 57
  • 75
  • 22
✓ 85
(5 × 10) + (5 × 7) = 50 + 35 = 85.
Use the distributive property to find 7 × 38
  • 266
  • 216
  • 256
  • 276
✓ 266
7 × 38 = (7 × 30) + (7 × 8) = 210 + 56 = 266.
3 × (20 + 4) = (3 × 20) + (3 × 4)
✓ True
True; this is the distributive property, and both sides equal 72.

FAQ about the Distributive Property lesson

What is the distributive property?

Multiplying a number by a sum equals the sum of multiplying it by each part: 6 × 42 = (6 × 40) + (6 × 2) = 240 + 12 = 252.

How do I use the distributive property to calculate 7 × 38?

Write 38 = 30 + 8, so 7 × 30 = 210 and 7 × 8 = 56, and the sum is 266.

How do I study the lesson Distributive Property 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 ⁦3-3⁩ Estimate Products ⁦3-4⁩ Multiply by a One-Digit Number ⁦3-5⁩ Problem-Solving Strategy: Draw a Picture ⁦3-6⁩ Multiply by a Two-Digit Number ⁦3-7⁩ Multiplication Properties ⁦3-8⁩ Problem-Solving Investigation: Choose the Best Strategy All Math Fifth Grade, Primary lessons →
← ⁦3-1⁩ Multiplication Patterns ⁦3-3⁩ Estimate Products →