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How To
Home›How To›How to Multiply Decimals: 6 Steps

How to Multiply Decimals: 6 Steps

By Matthew Lynch
October 18, 2023
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Step 1: Arrange the Numbers

Begin by writing the decimal numbers one above the other, just like you would do in any other multiplication problem. Align the numbers to the right and ensure that both decimal points are in a vertical line.

Step 2: Ignore Decimal Points

Temporarily ignore the decimal points and treat the numbers as if they were whole numbers. This will allow you to focus on the multiplication process without getting confused by the decimals.

Step 3: Perform Multiplication

Multiply the numbers as you would with whole numbers. Start from the right-most digit of the bottom number and multiply it by each digit in the top number. Write down individual products for each step, remembering to carry over any larger values, before moving onto the next digit. Once you have finished multiplying every digit in both numbers, add all of these individual products together to get the final result.

Step 4: Count Decimal Places

Now that you have your final product without considering decimals, count the total number of decimal places in both original numbers combined. For example, if one number has two decimal places and another has three decimal places, your total count should be five.

Step 5: Add Decimal Places Back

Place the decimal point back into your final product by starting from the right-most digit and moving left according to the total count of decimal places. If you counted a total of five decimal places, move five places left and insert a decimal point.

Step 6: Check Your Answer

Evaluate your answer to make sure it seems reasonable based on your understanding of multiplying decimals. You can do this by estimating or comparing with other calculation methods like using a calculator or solving it in a different way.

And there you have it – six easy steps to multiply decimals! By following these steps and practicing often, you’ll become more comfortable with multiplying decimals and build your confidence in performing more complex calculations.

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