Megoldás - Long multiplication
Lépésről lépésre magyarázat
1. Rewrite the numbers from top to bottom aligned to the right
| Helyiérték | tízesek | egyesek | . | tizedek | századok |
| 4 | 1 | , | 7 | 6 | |
| × | 4 | ||||
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 | tízezresek | ezresek | százasok | tízesek | egyesek |
| 4 | 1 | 7 | 6 | ||
| × | 4 | ||||
2. Multiply the numbers using long multiplication method
Start by multiplying the egyesek digit (4) of the multiplier 4 by each digit of the multiplicand 4 176, from right to left.
Multiply the egyesek digit (4) of the multiplicator by the number in the egyesek place value:
4×6=24
Write 4 in the egyesek place.
Because the result is greater than 9, carry the 2 to the tízesek place.
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 2 | |||||
| 4 | 1 | 7 | 6 | ||
| × | 4 | ||||
| 4 |
Multiply the egyesek digit (4) of the multiplicator by the number in the tízesek place value and add the carried number (2):
4×7+2=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 | 2 | ||||
| 4 | 1 | 7 | 6 | ||
| × | 4 | ||||
| 0 | 4 |
Multiply the egyesek digit (4) of the multiplicator by the number in the százasok place value and add the carried number (3):
4×1+3=7
Write 7 in the százasok place.
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 3 | 2 | ||||
| 4 | 1 | 7 | 6 | ||
| × | 4 | ||||
| 7 | 0 | 4 |
Multiply the egyesek digit (4) of the multiplicator by the number in the ezresek place value:
4×4=16
Write 6 in the ezresek place.
Because the result is greater than 9, carry the 1 to the tízezresek place.
| Helyiérték | tízezresek | ezresek | százasok | tízesek | egyesek |
| 1 | 3 | 2 | |||
| 4 | 1 | 7 | 6 | ||
| × | 4 | ||||
| 1 | 6 | 7 | 0 | 4 |
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: 167,04