Step 1: Line up the Decimal Numbers
The first step in decimal multiplication is to line up the numbers, just like you would in regular multiplication. Place the multiplicand (the number being multiplied) above the multiplier (the number doing the multiplying) ensuring that the decimal points align perfectly.
For example, if you are multiplying 4.5 with 2.3, line it up as follows:
- 4.5
- x 2.3
Step 2: Ignore the Decimal Points and Multiply
Next, ignore the decimal points momentarily and treat the decimal numbers as if they were whole numbers. Multiply the two numbers, just like you would in regular multiplication.
Using our example:
- 45 x 23 = 1035
Step 3: Count the Total Decimal Places
Now, count the total number of decimal places in both the multiplicand and the multiplier. In our example, both numbers have one decimal place.
Step 4: Place the Decimal Point
After counting the decimal places, place the decimal point in the product. Starting from the right, count the same number of digits as the total decimal places in the previous step.
In our example, since we have one decimal place, the product will have one decimal place as well. Therefore, place the decimal point right before the last digit in the product.
- Final Product: 103.5
Step 5: Check the Result
Lastly, review your answer and check for any errors. Cross-verify your work to ensure the correct placement of decimal points.
By following these simple steps, you can confidently perform decimal multiplication. With practice, you’ll soon be able to handle more complex decimal multiplication problems effortlessly!
We hope this step-by-step guide has helped you understand how to perform decimal multiplication. With this newfound knowledge, you’ll be able to tackle any decimal multiplication problem that comes your way. Happy calculating!