Megoldás - Long multiplication

Start by multiplying the egyesek digit (5) of the multiplier 282 885 by each digit of the multiplicand 1 645, 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.

Multiply the egyesek digit (5) of the multiplicator by the number in the tízesek place value and add the carried number (2):
5×4+2=22

Write 2 in the tízesek place.

Because the result is greater than 9, carry the 2 to the százasok place.

Multiply the egyesek digit (5) of the multiplicator by the number in the százasok place value and add the carried number (2):
5×6+2=32

Write 2 in the százasok place.

Because the result is greater than 9, carry the 3 to the ezresek place.

Multiply the egyesek digit (5) of the multiplicator by the number in the ezresek place value and add the carried number (3):
5×1+3=8

Write 8 in the ezresek place.

8 225 is the first partial product.

Proceed by multiplying the tízesek digit (8) of the multiplier (282 885) by each digit of the multiplicand (1 645), from right to left.

Because digit (8) is in tízesek place, we shift partial result by 1 place(s) by placing 1 zero(s).

Multiply the tízesek digit (8) of the multiplicator by the number in the egyesek place value:
8×5=40

Write 0 in the tízesek place.

Because the result is greater than 9, carry the 4 to the százasok place.

Multiply the tízesek digit (8) of the multiplicator by the number in the tízesek place value and add the carried number (4):
8×4+4=36

Write 6 in the százasok place.

Because the result is greater than 9, carry the 3 to the ezresek place.

Multiply the tízesek digit (8) of the multiplicator by the number in the százasok place value and add the carried number (3):
8×6+3=51

Write 1 in the ezresek place.

Because the result is greater than 9, carry the 5 to the tízezresek place.

Multiply the tízesek digit (8) of the multiplicator by the number in the ezresek place value and add the carried number (5):
8×1+5=13

Write 3 in the tízezresek place.

Because the result is greater than 9, carry the 1 to the százezresek place.

131 600 is the second partial product.

Proceed by multiplying the százasok digit (8) of the multiplier (282 885) by each digit of the multiplicand (1 645), from right to left.

Because digit (8) is in százasok place, we shift partial result by 2 place(s) by placing 2 zero(s).

Multiply the százasok digit (8) of the multiplicator by the number in the egyesek place value:
8×5=40

Write 0 in the százasok place.

Because the result is greater than 9, carry the 4 to the ezresek place.

Multiply the százasok digit (8) of the multiplicator by the number in the tízesek place value and add the carried number (4):
8×4+4=36

Write 6 in the ezresek place.

Because the result is greater than 9, carry the 3 to the tízezresek place.

Multiply the százasok digit (8) of the multiplicator by the number in the százasok place value and add the carried number (3):
8×6+3=51

Write 1 in the tízezresek place.

Because the result is greater than 9, carry the 5 to the százezresek place.

Multiply the százasok digit (8) of the multiplicator by the number in the ezresek place value and add the carried number (5):
8×1+5=13

Write 3 in the százezresek place.

Because the result is greater than 9, carry the 1 to the milliók place.

1 316 000 is the third partial product.

Proceed by multiplying the ezresek digit (2) of the multiplier (282 885) by each digit of the multiplicand (1 645), from right to left.

Because digit (2) is in ezresek place, we shift partial result by 3 place(s) by placing 3 zero(s).

Multiply the ezresek digit (2) of the multiplicator by the number in the egyesek place value:
2×5=10

Write 0 in the ezresek place.

Because the result is greater than 9, carry the 1 to the tízezresek place.

Multiply the ezresek digit (2) of the multiplicator by the number in the tízesek place value and add the carried number (1):
2×4+1=9

Write 9 in the tízezresek place.

Multiply the ezresek digit (2) of the multiplicator by the number in the százasok place value:
2×6=12

Write 2 in the százezresek place.

Because the result is greater than 9, carry the 1 to the milliók place.

Multiply the ezresek digit (2) of the multiplicator by the number in the ezresek place value and add the carried number (1):
2×1+1=3

Write 3 in the milliók place.

3 290 000 is the fourth partial product.

Proceed by multiplying the tízezresek digit (8) of the multiplier (282 885) by each digit of the multiplicand (1 645), from right to left.

Because digit (8) is in tízezresek place, we shift partial result by 4 place(s) by placing 4 zero(s).

Multiply the tízezresek digit (8) of the multiplicator by the number in the egyesek place value:
8×5=40

Write 0 in the tízezresek place.

Because the result is greater than 9, carry the 4 to the százezresek place.

Multiply the tízezresek digit (8) of the multiplicator by the number in the tízesek place value and add the carried number (4):
8×4+4=36

Write 6 in the százezresek place.

Because the result is greater than 9, carry the 3 to the milliók place.

Multiply the tízezresek digit (8) of the multiplicator by the number in the százasok place value and add the carried number (3):
8×6+3=51

Write 1 in the milliók place.

Because the result is greater than 9, carry the 5 to the tízmilliók place.

Multiply the tízezresek digit (8) of the multiplicator by the number in the ezresek place value and add the carried number (5):
8×1+5=13

Write 3 in the tízmilliók place.

Because the result is greater than 9, carry the 1 to the százmilliók place.

131 600 000 is the fifth partial product.

Proceed by multiplying the százezresek digit (2) of the multiplier (282 885) by each digit of the multiplicand (1 645), from right to left.

Because digit (2) is in százezresek place, we shift partial result by 5 place(s) by placing 5 zero(s).

Multiply the százezresek digit (2) of the multiplicator by the number in the egyesek place value:
2×5=10

Write 0 in the százezresek place.

Because the result is greater than 9, carry the 1 to the milliók place.

Multiply the százezresek digit (2) of the multiplicator by the number in the tízesek place value and add the carried number (1):
2×4+1=9

Write 9 in the milliók place.

Multiply the százezresek digit (2) of the multiplicator by the number in the százasok place value:
2×6=12

Write 2 in the tízmilliók place.

Because the result is greater than 9, carry the 1 to the százmilliók place.

Multiply the százezresek digit (2) of the multiplicator by the number in the ezresek place value and add the carried number (1):
2×1+1=3

Write 3 in the százmilliók place.

329 000 000 is the sixth partial product.

8225+131600+1316000+3290000+131600000+329000000=465345825 long addition steps can be seen here

Because we have 6 digit(s) to the right of the decimal point in the numbers that are being multiplied, we move the decimal point 6 time(s) to the left (reducing the result by the factor of 1 000 000) to get the final result:

The solution is: 465,345825