Multiplying Decimals
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Multiplying decimals is done in the same way as multiplying whole numbers, with the decimal placed in the correct position in the final product. To do this, multiply the numbers as usual and then count the total numbers behind the decimals in the original values. The decimal is placed in the product the same number of digits from the right. Examples are provided to demonstrate multiplying decimals step-by-step and correctly placing the decimal point in the final answer.
Multiplying Decimals
- 2. How It Works Multiplying decimals is exactly the same as multiplying whole numbers. You just have to put the decimal in the right place. For example: 3.4 x 4.2 Simply multiply the numbers the same way you would if they were 34 and 42. Then…..
- 3. Count how many numbers TOTAL are behind the decimal in the problem. In this case, there are 2. So in your product, count 2 numbers from the right and put your decimal there. 3.4 x 4.2 = 14.28 two numbers behind the decimal!
- 4. Examples 4.5 x 0.5 Step 1: Multiply the top number by 5. Step 2: Insert the place holder in the ones place for your next product. Multiply the top number by 0. Step 3: Add. Step 4: Count the total amount of numbers behind the decimal in the problem (it’s 2). Step 5: Insert your decimal where it’s needed. Answer = 2.25
- 5. Examples 7 x 3.72 Step 1: Multiply 7 by 2. Step 2: Insert place holder in the ones place for the next product. Step 3: Multiply 7 by 7. Step 4: Insert place holder in the ones and tens place for the next product. Step 5: Multiply 7 by 3. Step 6: Add. Step 7: Count the total amount of numbers behind the decimal in the problem. Step 8: Insert the decimal where needed.