math trick

Lattice Multiplication

Step-by-Step

356 * 25 =I don’t

remember how to multiply!!!

HELP!!! I can help!! Let me show you how to

do Lattice Multiplication.

356 * 25

3 5 6

2

5

Make a grid the exact size of your problem. A 2 digit number times a 3 digit number gets a 2 x 3 grid. Draw a diagonal line in each box.

356 * 25

3 5 6

2

5

12

Multiply 6 * 2 and place the answer in the grid where the lines meet.

356 * 25

3 5 6

2

5

120

1

Multiply 5 * 2 and place the answer in the grid where the lines meet.

356 * 25

3 5 6

2

5

120

16

0

Multiply 3 * 2 and place the answer in the grid where the lines meet. Use a zero as a place holder.

356 * 25

3 5 6

2

5

120

16

0

03

Multiply 6 * 5 and place the answer in the grid where the lines meet.

356 * 25

3 5 6

2

5

120

16

0

03

Multiply 5 * 5 and place the answer in the grid where the lines meet.

52

356 * 25

3 5 6

2

5

120

16

0

03

Multiply 3 * 5 and place the answer in the grid where the lines meet.

52

51

356 * 25

3 5 6

2

5

120

16

0

03

Now add the diagonals and place the answer below the grid. Be sure to carry to the next diagonal if you have a 2 digit answer.

52

51

0

356 * 25

3 5 6

2

5

120

16

0

03

Now add the diagonals and place the answer below the grid. Be sure to carry to the next diagonal if you have a 2 digit answer.

52

51

00

+1

356 * 25

3 5 6

2

5

120

16

0

03

Now add the diagonals and place the answer below the grid. Be sure to carry to the next diagonal if you have a 2 digit answer.

52

51

00

+1

9

356 * 25

3 5 6

2

5

120

16

0

03

Now add the diagonals and place the answer below the grid. Be sure to carry to the next diagonal if you have a 2 digit answer.

52

51

00

+1

98

356 * 25

3 5 6

2

5

120

16

0

03

Now add the diagonals and place the answer below the grid. Be sure to carry to the next diagonal if you have a 2 digit answer.

52

51

00

+1

98

356 * 25 =8,900

That is Soooo Cool!!!

Thanks!

Lattice Multiplicationwith Decimals

Step-by-Step

3.42 * 6.9 =Ok! I know how to do

Lattice, but I don’t remember how to

multiply with decimals!!!

3.42 * 6.9

3 4 2

6

9

Make a grid the exact size of your problem. A 2 digit number times a 3 digit number gets a 2 x 3 grid. Draw a diagonal line in each box.

3.42 * 6.9

3 4 2

6

9

Place the decimal point above/beside the line in the grid.

..

3.42 * 6.9

3 4 2

6

9

12

Multiply 6 * 2 and place the answer in the grid where the lines meet.

..

3.42 * 6.9

3 4 2

6

9

124

2

Multiply 4 * 6 and place the answer in the grid where the lines meet.

..

3.42 * 6.9

3 4 2

6

9

124

28

1

Multiply 3 * 6 and place the answer in the grid where the lines meet. Use a zero as a place holder.

..

3.42 * 6.9

3 4 2

6

9

124

28

1

81

Multiply 2 * 9 and place the answer in the grid where the lines meet.

..

3.42 * 6.9

3 4 2

6

9

124

28

1

81

Multiply 4 * 9 and place the answer in the grid where the lines meet.

63

..

3.42 * 6.9

3 4 2

6

9

124

28

1

81

Multiply 3 * 9 and place the answer in the grid where the lines meet.

63

72

..

3.42 * 6.9

3 4 2

6

9

124

28

1

81

Now add the diagonals and place the answer below the grid. Be sure to carry to the next diagonal if you have a 2 digit answer.

63

72

8

..

3.42 * 6.9

3 4 2

6

9

124

28

1

81

Now add the diagonals and place the answer below the grid. Be sure to carry to the next diagonal if you have a 2 digit answer.

63

72

89

..

3.42 * 6.9

3 4 2

6

9

124

28

1

81

Now add the diagonals and place the answer below the grid. Be sure to carry to the next diagonal if you have a 2 digit answer.

63

72

89

+1

5

..

3.42 * 6.9

3 4 2

6

9

124

28

1

81

Now add the diagonals and place the answer below the grid. Be sure to carry to the next diagonal if you have a 2 digit answer.

63

72

89

+1

53

.+1

.

3.42 * 6.9

3 4 2

6

9

124

28

1

81

Now add the diagonals and place the answer below the grid. Be sure to carry to the next diagonal if you have a 2 digit answer.

63

72

8953

.+1+1

2 .

3.42 * 6.9

3 4 2

6

9

124

28

1

81

Now you need to place the decimal. Follow the lines until they meet.

63

72

8953

.+1+1

2 .

3.42 * 6.9

3 4 2

6

9

124

28

1

81

Now drop on the diagonal to place the decimal.

63

72

8953

.+1+1

2 .

.

3.42 * 6.9

3 4 2

6

9

124

28

1

81

Your answer is 23.598!!

63

72

8953

.+1+1

2 .

.

3.42 * 6.9 =23.598

That is Soooo Cool!!!

Thanks!