Multiplication of decimals, is similar to multiplying the numbers without considering the decimal points. The placement of the decimal point on the product is very crucial in order to get the correct place value of the digits.
Multiply the numbers without considering the decimal points.
| 3 | 1 | 4 | |
| × | 2 | 5 | |
| 1 | 5 | 7 | 0 |
| 6 | 2 | 8 | |
| 7 | 8 | 5 | 0 |
Add the decimal places in both factors.
`3.14` `- 2` decimal places
`2.5` `- 1` decimal places
The decimal point of the product should be 2 + 1 = 3 decimal places from the left of the last digit.
Move the decimal point 3 places to the left starting from the right of the last digit of the product which is 0.
`7.850 or 7.85`
Therefore, `3.14 × 2.5 = 7.85`
Multiply the numbers without considering the decimal points.
| 8 | 0 | 4 | |||
| × | 1 | 2 | 0 | 8 | |
| `1` | 6 | 4 | 3 | 2 | |
| 1 | 6 | 0 | 8 | ||
| 8 | 0 | 4 | |||
| 9 | 7 | 1 | 2 | 3 | 2 |
Add the decimal places in both factors.
`8.04 - 2` decimal places
`12.08 - 2` decimal places
The decimal point of the product should be 2 + 2 = 4 decimal places from the left of the last digit.
Move the decimal point 4 places to the left starting from the right of the last digit of the product which is 0.
`97.1232`
Therefore, `8.04 × 12.08 = 97.1232`
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