Megoldás - Long multiplication
Lépésről lépésre magyarázat
1. Rewrite the numbers from top to bottom aligned to the right
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 6 | 5 | |||
| × | 6 | 5 | ||
2. Multiply the numbers using long multiplication method
Start by multiplying the egyesek digit (5) of the multiplier 65 by each digit of the multiplicand 65, from right to left.
Multiply the egyesek digit (5) of the multiplicator by the number in the egyesek place value:
5×5=25
Write 5 in the egyesek place.
Because the result is greater than 9, carry the 2 to the tízesek place.
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 2 | ||||
| 6 | 5 | |||
| × | 6 | 5 | ||
| 5 | ||||
Multiply the egyesek digit (5) of the multiplicator by the number in the tízesek place value and add the carried number (2):
5×6+2=32
Write 2 in the tízesek place.
Because the result is greater than 9, carry the 3 to the százasok place.
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 3 | 2 | |||
| 6 | 5 | |||
| × | 6 | 5 | ||
| 3 | 2 | 5 | ||
325 is the first partial product.
Proceed by multiplying the tízesek digit (6) of the multiplier (65) by each digit of the multiplicand (65), from right to left.
Because digit (6) is in tízesek place, we shift partial result by 1 place(s) by placing 1 zero(s).
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 6 | 5 | |||
| × | 6 | 5 | ||
| 3 | 2 | 5 | ||
| 0 |
Multiply the tízesek digit (6) of the multiplicator by the number in the egyesek place value:
6×5=30
Write 0 in the tízesek place.
Because the result is greater than 9, carry the 3 to the százasok place.
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 3 | ||||
| 6 | 5 | |||
| × | 6 | 5 | ||
| 3 | 2 | 5 | ||
| 0 | 0 |
Multiply the tízesek digit (6) of the multiplicator by the number in the tízesek place value and add the carried number (3):
6×6+3=39
Write 9 in the százasok place.
Because the result is greater than 9, carry the 3 to the ezresek place.
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 3 | 3 | |||
| 6 | 5 | |||
| × | 6 | 5 | ||
| 3 | 2 | 5 | ||
| 3 | 9 | 0 | 0 |
3 900 is the second partial product.
3. Add the partial products
325+3900=4225 long addition steps can be seen here
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 6 | 5 | |||
| × | 6 | 5 | ||
| 3 | 2 | 5 | ||
| + | 3 | 9 | 0 | 0 |
| 4 | 2 | 2 | 5 |
The solution is: 4 225