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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
(Next example)

1. Lattice Multiplication of 789 and 456 Example


1. Find Lattice Multiplication of 789 and 456

Solution:

Number-1 = 456 will be placed on the top row of the table
Number-2 = 789 will be placed on the last column of the table
456
7
8
9

Step-1: `4xx7=28`, split digits in upper and lower corners

456
2
8
7
8
9

Step-2: `5xx7=35`, split digits in upper and lower corners

456
2
8
3
5
7
8
9

Step-3: `6xx7=42`, split digits in upper and lower corners

456
2
8
3
5
4
2
7
8
9

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

456
2
8
3
5
4
2
7
3
2
8
9

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

456
2
8
3
5
4
2
7
3
2
4
0
8
9

Step-6: `6xx8=48`, split digits in upper and lower corners

456
2
8
3
5
4
2
7
3
2
4
0
4
8
8
9

Step-7: `4xx9=36`, split digits in upper and lower corners

456
2
8
3
5
4
2
7
3
2
4
0
4
8
8
3
6
9

Step-8: `5xx9=45`, split digits in upper and lower corners

456
2
8
3
5
4
2
7
3
2
4
0
4
8
8
3
6
4
5
9

Step-9: `6xx9=54`, split digits in upper and lower corners

456
2
8
3
5
4
2
7
3
2
4
0
4
8
8
3
6
4
5
5
4
9

Step-10: Add diagonal sum, Starting from bottom right and move to top left
`4=4`

`5+5+8=18`, Since `18>9`, carry 1 for next sum

`6+4+0+4+2+1=17`, Since `17>9`, carry 1 for next sum

`3+2+4+5+4+1=19`, Since `19>9`, carry 1 for next sum

`3+8+3+1=15`, Since `15>9`, carry 1 for next sum

`2+1=3`

456
3
2
8
3
5
4
2
7
5
3
2
4
0
4
8
8
9
3
6
4
5
5
4
9
7
8
4

`456xx789=359784`



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
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