How to Multiply Decimals

Multiplying decimals is straightforward once you understand the steps. Here's a clear, step-by-step guide:

Step 1: Ignore the Decimals and Multiply as Whole Numbers

• Treat the decimal numbers as if they were whole numbers by ignoring the decimal points.
• Multiply these numbers just like you would with integers.

Example:
Multiply 2.5 × 0.3
Ignore decimals: 25 × 3 = 75

Step 2: Count the Total Number of Decimal Places

• Count how many digits are to the right of the decimal point in both numbers.
• Add these counts together to get the total number of decimal places for the product.

Example:
2.5 has 1 decimal place
0.3 has 1 decimal place
Total decimal places = 1 + 1 = 2

Step 3: Place the Decimal Point in the Product

• Starting from the right of the product (from Step 1), move the decimal point to the left by the total number of decimal places counted in Step 2.

Example:
Product from Step 1 = 75
Move decimal 2 places left: 0.75

Step 4: Write the Final Answer

• The result of 2.5 × 0.3 = 0.75

Summary

Step| Action| Example (2.5 × 0.3)
---|---|---
1| Multiply as whole numbers| 25 × 3 = 75
2| Count decimal places in both numbers| 1 + 1 = 2
3| Place decimal point in product accordingly| 0.75
4| Final answer| 0.75

If you'd like, I can provide more examples or practice problems!