Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

3 2 7

2

8

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

3 2 7

2

8

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

3 2 7

2

8

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

3 2 7

2

8

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

3 2 7

2

8

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

3 2 7

2

8

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

3 2 7

2

8

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

5

6

3 2 7

2

8

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

5

6

Now add the diagonals

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

5

6

6

Now add the diagonals

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

5

6

6

6+5+4 = 15

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

5

6

65

1

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

5

6

65

1

1+1+4+1+4=11

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

5

6

65

1

1

1

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

5

6

65

1

1

1

1+6+2=9

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

5

6

65

1

1

1

9

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

5

6

65

1

1

1

9

0

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

5

6

65

1

1

1

9

0

Now read off the digits according to the diagonal place value columns

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

5

6

65

1

1

1

9

0

6 is in the ones column5 in the tens1 in the hundreds9 in the thousands0 in the ten-thousands

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

5

6

65

1

1

1

9

0

6 is in the ones column5 in the tens1 in the hundreds9 in the thousands0 in the ten-thousands

So 327 x 28 = 9156

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

5

6

65

1

1

1

9

0

Now calculate 327 x 28 by another method.Can you see how your method is similar to this one?

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

5

6

65

1

1

1

9

0

Did you write out all 6 partial products separately? (like this)

327x 28 56 1602400 140 40060009156

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

5

6

65

1

1

1

9

0

Did you write out all 6 partial products separately? (like this) Or did you use a condensed version? (like this)

327x 28 56 1602400 140 40060009156

327x 28261665409156

Lattice multiplication (327 x 28)Lattice multiplication (327 x 28)

0

6

0

4

1

4

2

4

1

6

5

6

65

1

1

1

9

0

Did you write out all 6 partial products separately? (like this) Or did you use a condensed version? (like this) Challenge: see if you can find each of the 6 partial products in the lattice multiplication!

327x 28 56 1602400 140 40060009156

327x 28261665409156