How to Multiply 3 and 4 Digit Values - Example#1: Find the product of 267 and 25: We can divide the whole process into three steps. Step#1: Multiply 267 by the ones digit of the multiplier 5. So, 5 x 7 = 35. Then, 5 x 6 = 30+ the carried over 3 = 33. Last, 5 x 2 = 10+ the carried over 3 = 13. We call 1335 as the 1st partial product of 267 x 5. Step#2: Multiply 267 by the digit 2 of the tens place of the multiplier. We are actually multiplying 267 by 20. We write a 0 below 5 of the 1st partial product. Next, 2 x 7 = 14. Now, 2 x 6 = 12+ the carried over 1 = 13. Then, 2 x 2 = 4+ the carried over 1 = 5. So, we get 5340 as 2nd partial product. Step#3: Add both partial products 1335+5340 = 6675(product) Example#2: Find the product of 229 and 13. Step#1: Multiply 229 by ones place digit of the multiplier 3. So, 3 x 9 = 27. Then, 3 x 2 = 6+ the carried over 2 = 8. Last, 3 x 2 = 6. We will call 687 as the 1st partial product. Step#2: Multiply 229 by tens place digit of the multiplier 1. We are actually multiplying 229 x 10. So, we write 0 below the digit 7 of the 1st partial product. Next, 1 x 9 = 9. Now, 1 x 2 = 2. Then, 1 x 2 = 2. We get 2290 as 2nd partial product. Step#3: 687+2290 (partial products) 2977 (product).

Some quick review of multiplication vocabulary for you: Factors are the numbers that are actually being multiplied. The product is the final answer when the multiplication operation is calculated. The multiplicand is the number that is getting multiplied, in vertical multiplication it is often the top number. The multiplier is the number you multiplying the multiplicand by. You guessed it, in vertical multiplication the multiplier is usually the bottom number. These worksheets explain how to do multiplication using three- and four-digit numbers. Long-form multiplication is demonstrated, but instructors may allow students to use calculators if desired.