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Instructions

Use the following exercises to practice advanced multiplication techniques. Show all your work in the spaces provided.

1. Distributive Property

Use the distributive property to solve the following problems:

  1. 4 × 25 = (Hint: 4 × (20 + 5))
  2. 7 × 36 = (Hint: 7 × (30 + 6))

2. Multiplying Multi-Digit Numbers

Calculate the following:

  1. 23 × 45 =
  2. 56 × 78 =

3. Word Problems

Solve the following word problems involving multiplication:

  1. A baker makes 12 dozen cookies. How many cookies does the baker make in total?
  2. A farmer has 15 apple trees. Each tree produces 34 apples. How many apples does the farmer have in total?

4. Challenge Problem

Using the distributive property, solve 12 × 59:

12 × (50 + 9) =

Now, calculate the final answer:

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