Everyday Examples of Multi-Digit Multiplication

📚 Quick Study Guide

• 🔢 Basic Principle: Multi-digit multiplication involves breaking down larger numbers into smaller, more manageable parts.
• ➕ Partial Products: We multiply each digit of one number by each digit of the other number, creating partial products.
• 📍 Place Value: Proper placement of partial products is essential, aligning them according to place value (ones, tens, hundreds, etc.).
• ➕ Summation: Finally, we add the partial products together to get the final product.
• 📝 Formula: For multiplying two numbers, say 'a' and 'b', we express it as $a \times b = c$, where 'c' is the product.
• 💡 Tip: Remember to carry over digits when a partial product is greater than 9.
• ✔️ Double-Check: Always double-check your work, especially the alignment of partial products.

Practice Quiz

1. A school is ordering 25 boxes of pencils. Each box contains 144 pencils. How many pencils are they ordering in total?

   1. 3,500
   2. 3,600
   3. 3,700
   4. 3,800

2. A farmer has 32 rows of apple trees. Each row has 18 trees. How many apple trees does the farmer have?

   1. 566
   2. 576
   3. 586
   4. 596

3. A movie theater has 45 rows of seats. Each row has 28 seats. What is the total seating capacity of the theater?

   1. 1,250
   2. 1,260
   3. 1,270
   4. 1,280

4. A bakery makes 65 cakes each day. How many cakes does it make in 31 days?

   1. 2,005
   2. 2,015
   3. 2,025
   4. 2,035

5. A store sells 125 shirts per day. How many shirts does it sell in 14 days?

   1. 1,700
   2. 1,750
   3. 1,800
   4. 1,850

6. A train travels at a speed of 85 miles per hour. How far will it travel in 12 hours?

   1. 1,000 miles
   2. 1,010 miles
   3. 1,020 miles
   4. 1,030 miles

7. A construction company needs to buy 75 bags of cement. Each bag costs $23. What is the total cost of the cement?

   1. $1,705
   2. $1,715
   3. $1,725
   4. $1,735