Lépésről lépésre magyarázat
1. Rewrite the numbers from top to bottom aligned to the right
| Helyiérték | egyesek | . | tizedek | századok |
| 1 | , | 8 | 6 | |
| × | 5 | , | 5 | |
| , |
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 3 decimal place(s). So once calculated, the result will be reduced by the factor of 1 000.
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 1 | 8 | 6 | |||
| × | 5 | 5 | |||
2. Multiply the numbers using long multiplication method
Start by multiplying the egyesek digit (5) of the multiplier 55 by each digit of the multiplicand 186, from right to left.
Multiply the egyesek digit (5) of the multiplicator by the number in the egyesek place value:
5×6=30
Write 0 in the egyesek place.
Because the result is greater than 9, carry the 3 to the tízesek place.
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 3 | |||||
| 1 | 8 | 6 | |||
| × | 5 | 5 | |||
| 0 | |||||
Multiply the egyesek digit (5) of the multiplicator by the number in the tízesek place value and add the carried number (3):
5×8+3=43
Write 3 in the tízesek place.
Because the result is greater than 9, carry the 4 to the százasok place.
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 4 | 3 | ||||
| 1 | 8 | 6 | |||
| × | 5 | 5 | |||
| 3 | 0 | ||||
Multiply the egyesek digit (5) of the multiplicator by the number in the százasok place value and add the carried number (4):
5×1+4=9
Write 9 in the százasok place.
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 4 | 3 | ||||
| 1 | 8 | 6 | |||
| × | 5 | 5 | |||
| 9 | 3 | 0 | |||
930 is the first partial product.
Proceed by multiplying the tízesek digit (5) of the multiplier (55) by each digit of the multiplicand (186), from right to left.
Because digit (5) is in tízesek place, we shift partial result by 1 place(s) by placing 1 zero(s).
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 1 | 8 | 6 | |||
| × | 5 | 5 | |||
| 9 | 3 | 0 | |||
| 0 |
Multiply the tízesek digit (5) of the multiplicator by the number in the egyesek place value:
5×6=30
Write 0 in the tízesek place.
Because the result is greater than 9, carry the 3 to the százasok place.
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 3 | |||||
| 1 | 8 | 6 | |||
| × | 5 | 5 | |||
| 9 | 3 | 0 | |||
| 0 | 0 |
Multiply the tízesek digit (5) of the multiplicator by the number in the tízesek place value and add the carried number (3):
5×8+3=43
Write 3 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 | 3 | ||||
| 1 | 8 | 6 | |||
| × | 5 | 5 | |||
| 9 | 3 | 0 | |||
| 3 | 0 | 0 |
Multiply the tízesek digit (5) of the multiplicator by the number in the százasok place value and add the carried number (4):
5×1+4=9
Write 9 in the ezresek place.
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 4 | 3 | ||||
| 1 | 8 | 6 | |||
| × | 5 | 5 | |||
| 9 | 3 | 0 | |||
| 9 | 3 | 0 | 0 |
9 300 is the second partial product.
3. Add the partial products
930+9300=10230 long addition steps can be seen here
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 1 | 8 | 6 | |||
| × | 5 | 5 | |||
| 9 | 3 | 0 | |||
| + | 9 | 3 | 0 | 0 | |
| 1 | 0 | 2 | 3 | 0 |
Because we have 3 digit(s) to the right of the decimal point in the numbers that are being multiplied, we move the decimal point 3 time(s) to the left (reducing the result by the factor of 1 000) to get the final result:
The solution is: 10,23