Megoldás - Long multiplication
Lépésről lépésre magyarázat
1. Rewrite the numbers from top to bottom aligned to the right
| Helyiérték | tízesek | egyesek | . | tizedek |
| 2 | 2 | |||
| × | 1 | 0 | , | 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 1 decimal place(s). So once calculated, the result will be reduced by the factor of 10.
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 2 | 2 | |||
| × | 1 | 0 | 5 | |
2. Multiply the numbers using long multiplication method
Start by multiplying the egyesek digit (5) of the multiplier 105 by each digit of the multiplicand 22, from right to left.
Multiply the egyesek digit (5) of the multiplicator by the number in the egyesek place value:
5×2=10
Write 0 in the egyesek place.
Because the result is greater than 9, carry the 1 to the tízesek place.
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 1 | ||||
| 2 | 2 | |||
| × | 1 | 0 | 5 | |
| 0 | ||||
Multiply the egyesek digit (5) of the multiplicator by the number in the tízesek place value and add the carried number (1):
5×2+1=11
Write 1 in the tízesek place.
Because the result is greater than 9, carry the 1 to the százasok place.
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 1 | 1 | |||
| 2 | 2 | |||
| × | 1 | 0 | 5 | |
| 1 | 1 | 0 | ||
110 is the first partial product.
Because the tízesek digit of the multiplicator equals 0, skip to the next digit.
Proceed by multiplying the százasok digit (1) of the multiplier (105) by each digit of the multiplicand (22), from right to left.
Because digit (1) is in százasok place, we shift partial result by 2 place(s) by placing 2 zero(s).
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 2 | 2 | |||
| × | 1 | 0 | 5 | |
| 1 | 1 | 0 | ||
| 0 | 0 |
Multiply the százasok digit (1) of the multiplicator by the number in the egyesek place value:
1×2=2
Write 2 in the százasok place.
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 2 | 2 | |||
| × | 1 | 0 | 5 | |
| 1 | 1 | 0 | ||
| 2 | 0 | 0 |
Multiply the százasok digit (1) of the multiplicator by the number in the tízesek place value:
1×2=2
Write 2 in the ezresek place.
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 2 | 2 | |||
| × | 1 | 0 | 5 | |
| 1 | 1 | 0 | ||
| 2 | 2 | 0 | 0 |
2 200 is the second partial product.
3. Add the partial products
110+2200=2310 long addition steps can be seen here
| Helyiérték | ezresek | százasok | tízesek | egyesek |
| 2 | 2 | |||
| × | 1 | 0 | 5 | |
| 1 | 1 | 0 | ||
| + | 2 | 2 | 0 | 0 |
| 2 | 3 | 1 | 0 |
Because we have 1 digit(s) to the right of the decimal point in the numbers that are being multiplied, we move the decimal point 1 time(s) to the left (reducing the result by the factor of 10) to get the final result:
The solution is: 231