Megoldás - Long multiplication
Lépésről lépésre magyarázat
1. Rewrite the numbers from top to bottom aligned to the right
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 6 | |||||
| × | 1 | 8 | 4 | 2 | |
2. Multiply the numbers using long multiplication method
Start by multiplying the egyesek digit (2) of the multiplier 1 842 by each digit of the multiplicand 6, from right to left.
Multiply the egyesek digit (2) of the multiplicator by the number in the egyesek place value:
2×6=12
Write 2 in the egyesek place.
Because the result is greater than 9, carry the 1 to the tízesek place.
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 1 | |||||
| 6 | |||||
| × | 1 | 8 | 4 | 2 | |
| 1 | 2 | ||||
12 is the first partial product.
Proceed by multiplying the tízesek digit (4) of the multiplier (1 842) by each digit of the multiplicand (6), from right to left.
Because digit (4) is in tízesek place, we shift partial result by 1 place(s) by placing 1 zero(s).
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 6 | |||||
| × | 1 | 8 | 4 | 2 | |
| 1 | 2 | ||||
| 0 | |||||
Multiply the tízesek digit (4) of the multiplicator by the number in the egyesek place value:
4×6=24
Write 4 in the tízesek place.
Because the result is greater than 9, carry the 2 to the százasok place.
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 2 | |||||
| 6 | |||||
| × | 1 | 8 | 4 | 2 | |
| 1 | 2 | ||||
| 2 | 4 | 0 | |||
240 is the second partial product.
Proceed by multiplying the százasok digit (8) of the multiplier (1 842) by each digit of the multiplicand (6), from right to left.
Because digit (8) is in százasok place, we shift partial result by 2 place(s) by placing 2 zero(s).
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 6 | |||||
| × | 1 | 8 | 4 | 2 | |
| 1 | 2 | ||||
| 2 | 4 | 0 | |||
| 0 | 0 | ||||
Multiply the százasok digit (8) of the multiplicator by the number in the egyesek place value:
8×6=48
Write 8 in the százasok place.
Because the result is greater than 9, carry the 4 to the ezresek place.
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 4 | |||||
| 6 | |||||
| × | 1 | 8 | 4 | 2 | |
| 1 | 2 | ||||
| 2 | 4 | 0 | |||
| 4 | 8 | 0 | 0 | ||
4 800 is the third partial product.
Proceed by multiplying the ezresek digit (1) of the multiplier (1 842) by each digit of the multiplicand (6), from right to left.
Because digit (1) is in ezresek place, we shift partial result by 3 place(s) by placing 3 zero(s).
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 6 | |||||
| × | 1 | 8 | 4 | 2 | |
| 1 | 2 | ||||
| 2 | 4 | 0 | |||
| 4 | 8 | 0 | 0 | ||
| 0 | 0 | 0 |
Multiply the ezresek digit (1) of the multiplicator by the number in the egyesek place value:
1×6=6
Write 6 in the ezresek place.
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 6 | |||||
| × | 1 | 8 | 4 | 2 | |
| 1 | 2 | ||||
| 2 | 4 | 0 | |||
| 4 | 8 | 0 | 0 | ||
| 6 | 0 | 0 | 0 |
6 000 is the fourth partial product.
3. Add the partial products
12+240+4800+6000=11052 long addition steps can be seen here
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 6 | |||||
| × | 1 | 8 | 4 | 2 | |
| 1 | 2 | ||||
| 2 | 4 | 0 | |||
| 4 | 8 | 0 | 0 | ||
| + | 6 | 0 | 0 | 0 | |
| 1 | 1 | 0 | 5 | 2 |
The solution is: 11 052