Megoldás - Long multiplication
Lépésről lépésre magyarázat
1. Rewrite the numbers from top to bottom aligned to the right
| Helyiérték | tízesek | egyesek | . | tizedek | századok |
| 1 | 7 | , | 2 | 5 | |
| × | 3 | ||||
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 |
| 1 | 7 | 2 | 5 | |
| × | 3 | |||
2. Multiply the numbers using long multiplication method
Start by multiplying the egyesek digit (3) of the multiplier 3 by each digit of the multiplicand 1 725, from right to left.
Multiply the egyesek digit (3) of the multiplicator by the number in the egyesek place value:
3×5=15
Write 5 in the egyesek place.
Because the result is greater than 9, carry the 1 to the tízesek place.
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 1 | ||||
| 1 | 7 | 2 | 5 | |
| × | 3 | |||
| 5 |
Multiply the egyesek digit (3) of the multiplicator by the number in the tízesek place value and add the carried number (1):
3×2+1=7
Write 7 in the tízesek place.
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 1 | ||||
| 1 | 7 | 2 | 5 | |
| × | 3 | |||
| 7 | 5 |
Multiply the egyesek digit (3) of the multiplicator by the number in the százasok place value:
3×7=21
Write 1 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 | |||
| 1 | 7 | 2 | 5 | |
| × | 3 | |||
| 1 | 7 | 5 |
Multiply the egyesek digit (3) of the multiplicator by the number in the ezresek place value and add the carried number (2):
3×1+2=5
Write 5 in the ezresek place.
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 2 | 1 | |||
| 1 | 7 | 2 | 5 | |
| × | 3 | |||
| 5 | 1 | 7 | 5 |
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: 51,75