Understanding Long Multiplication
Long multiplication is a method used to multiply larger numbers by breaking them down into manageable parts. This technique is helpful when dealing with numbers that cannot easily be multiplied in your head. Let’s go through the process step-by-step.
Step 1: Write the Numbers
First, write the numbers you want to multiply, one on top of the other. Make sure to align them by the rightmost digit. For example, if we want to multiply 27 by 34, it should look like this:
27 x 34
Step 2: Multiply the First Digit
Start with the digit on the bottom (the multiplier) that is on the far right. Multiply this digit by each digit of the top number (the multiplicand), starting from the rightmost digit. Here, we will multiply 4 (from 34) by 27:
27 x 34 ------ 108 (This is 4 x 27)
Step 3: Write the Result Below
Write the result of this multiplication directly below the line you drew earlier. Ensure it’s right-aligned with the digit you multiplied. In this case, 4 x 27 is 108.
Step 4: Move to the Next Digit
Next, move to the next digit of the bottom number, which is 3. Since 3 is in the tens place, we multiply it by the top number (27) and then add a zero to the right of the result to account for the place value. Here’s how it looks:
27 x 34 ------ 108 (This is 4 x 27) + 810 (This is 30 x 27, note the zero added)
Step 5: Add the Results Together
Now, add the two results you got from the multiplications:
108 + 810 ------ 918
So, 27 times 34 equals 918.
Practice Problem
Try this on your own: What is 56 multiplied by 23? Follow the same steps as above!
Conclusion
Long multiplication may seem complex at first, but with practice, it will become easier. Just remember to take it one step at a time, and soon you'll be multiplying larger numbers with confidence!