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Home > Pre-Algebra calculators > Lattice Multiplication example
Lattice Multiplication examples ( Enter your problem )
( Enter your problem )
  1. Lattice Multiplication of 789 and 456 Example
  2. Lattice Multiplication of 46 and 35 Example
  3. Lattice Multiplication of 380 and 745 Example
2. Lattice Multiplication of 46 and 35 Example
(Previous example)

3. Lattice Multiplication of 380 and 745 Example


Find Lattice Multiplication of 380 and 745

Solution:

Number-1 = 745 will be placed on the top row of the table
Number-2 = 380 will be placed on the last column of the table
745
3
8
0

Step-1: `7xx3=21`, split digits in upper and lower corners

745
2
1
3
8
0

Step-2: `4xx3=12`, split digits in upper and lower corners

745
2
1
1
2
3
8
0

Step-3: `5xx3=15`, split digits in upper and lower corners

745
2
1
1
2
1
5
3
8
0

Step-4: `7xx8=56`, split digits in upper and lower corners

745
2
1
1
2
1
5
3
5
6
8
0

Step-5: `4xx8=32`, split digits in upper and lower corners

745
2
1
1
2
1
5
3
5
6
3
2
8
0

Step-6: `5xx8=40`, split digits in upper and lower corners

745
2
1
1
2
1
5
3
5
6
3
2
4
0
8
0

Step-7: `7xx0=0`, split digits in upper and lower corners

745
2
1
1
2
1
5
3
5
6
3
2
4
0
8
0
0
0

Step-8: `4xx0=0`, split digits in upper and lower corners

745
2
1
1
2
1
5
3
5
6
3
2
4
0
8
0
0
0
0
0

Step-9: `5xx0=0`, split digits in upper and lower corners

745
2
1
1
2
1
5
3
5
6
3
2
4
0
8
0
0
0
0
0
0
0

Step-10: Add diagonal sum, Starting from bottom right and move to top left
`0=0`

`0+0+0=0`

`0+0+2+4+5=11`, Since `11>9`, carry 1 for next sum

`0+6+3+2+1+1=13`, Since `13>9`, carry 1 for next sum

`5+1+1+1=8`

`2=2`

745
2
2
1
1
2
1
5
3
8
5
6
3
2
4
0
8
3
0
0
0
0
0
0
0
1
0
0

`745xx380=283100`



This material is intended as a summary. Use your textbook for detail explanation.
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2. Lattice Multiplication of 46 and 35 Example
(Previous example)


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