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Lesson 6: Mental Math Strategies for Multiplication — Practice Questions

  1. 1. A library receives 6 new boxes of books. Each box contains 105 books. Use the distributive property to find the total number of new books. $6 \times 105 = $ ___.

  2. 2. Which expression correctly uses the distributive property to find the product of $7 \times 98$?

    • A. $(7 \times 100) - (7 \times 2)$
    • B. $7 \times (90 \times 8)$
    • C. $(7 \times 100) - 2$
    • D. $7 + (100 - 2)$
  3. 3. To solve $9 \times 206$ using the distributive property, the expression is written as $9 \times (200 + 6) = (9 \times 200) + (9 \times$ ___ $)$.

  4. 4. A concert hall has 8 sections. Each section has 299 seats. Use the distributive property to find the total number of seats. $8 \times 299 = $ ___.

  5. 5. A gardener plants 5 rows of flowers. Each row contains 34 flowers. Which expression shows a way to find the total number of flowers using the distributive property?

    • A. $5 \times (30 + 4)$
    • B. $5 \times (30 \times 4)$
    • C. $(5 + 30) \times 4$
    • D. $5 + 30 + 4$
  6. 6. To solve $4 \times 697$ using the distributive property, the expression is $4 \times (700 - 3) = (4 \times 700) - (4 \times$ ___ $)$.

  7. 7. For which product would using the distributive property with subtraction be the most efficient mental math strategy?

    • A. $9 \times 48$
    • B. $9 \times 41$
    • C. $6 \times 205$
    • D. $3 \times 110$
  8. 8. A science teacher buys 7 kits for her class. Each kit costs 53 dollars. What is the total cost for all the kits? ___ dollars.

  9. 9. Which expression is NOT a correct way to find the product of $6 \times 38$ using the distributive property?

    • A. $(6 \times 30) + (6 \times 8)$
    • B. $(6 \times 40) - (6 \times 2)$
    • C. $6 \times (35 + 3)$
    • D. $(6 \times 30) + 8$
  10. 10. A charity organization plans to give 3 new books to each of 498 children. How many total books will the organization give away? ___ books.