Megoldás - Long multiplication
Lépésről lépésre magyarázat
1. Rewrite the numbers from top to bottom aligned to the right
| Helyiérték | egyesek | . | tizedek | századok |
| 3 | , | 1 | 4 | |
| × | 9 | |||
Ignore the decimal points and multiply as if these are whole numbers (as if each most right digit is the ones digit):
In this case we removed 2 decimal place(s). So once calculated, the result will be reduced by the factor of 100.
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 3 | 1 | 4 | ||
| × | 9 | |||
2. Multiply the numbers using long multiplication method
Start by multiplying the egyesek digit (9) of the multiplier 9 by each digit of the multiplicand 314, from right to left.
Multiply the egyesek digit (9) of the multiplicator by the number in the egyesek place value:
9×4=36
Write 6 in the egyesek place.
Because the result is greater than 9, carry the 3 to the tízesek place.
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 3 | ||||
| 3 | 1 | 4 | ||
| × | 9 | |||
| 6 |
Multiply the egyesek digit (9) of the multiplicator by the number in the tízesek place value and add the carried number (3):
9×1+3=12
Write 2 in the tízesek place.
Because the result is greater than 9, carry the 1 to the százasok place.
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 1 | 3 | |||
| 3 | 1 | 4 | ||
| × | 9 | |||
| 2 | 6 |
Multiply the egyesek digit (9) of the multiplicator by the number in the százasok place value and add the carried number (1):
9×3+1=28
Write 8 in the százasok place.
Because the result is greater than 9, carry the 2 to the ezresek place.
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 2 | 1 | 3 | ||
| 3 | 1 | 4 | ||
| × | 9 | |||
| 2 | 8 | 2 | 6 |
Because we have 2 digit(s) to the right of the decimal point in the numbers that are being multiplied, we move the decimal point 2 time(s) to the left (reducing the result by the factor of 100) to get the final result:
The solution is: 28,26