Lattice multiplication (327 x 28)

1
Lattice multiplication (327 x 28)
3
2
7


2
8
2
Lattice multiplication (327 x 28)
3
2
7


2
8
3
Lattice multiplication (327 x 28)
3
2
7
0 6

2
8
4
Lattice multiplication (327 x 28)
3
2
7
0 6 0 4

2
8
5
Lattice multiplication (327 x 28)
3
2
7
0 6 0 4 1 4

2
8
6
Lattice multiplication (327 x 28)
3
2
7
0 6 0 4 1 4
2 4
2
8
7
Lattice multiplication (327 x 28)
3
2
7
0 6 0 4 1 4
2 4 1 6
2
8
8
Lattice multiplication (327 x 28)
3
2
7
0 6 0 4 1 4
2 4 1 6 5 6
2
8
9
Lattice multiplication (327 x 28)
0 6 0 4 1 4
2 4 1 6 5 6
Now add the diagonals
10
Lattice multiplication (327 x 28)
0 6 0 4 1 4
2 4 1 6 5 6
6
Now add the diagonals
11
Lattice multiplication (327 x 28)
0 6 0 4 1 4
2 4 1 6 5 6
6
654 15
12
Lattice multiplication (327 x 28)
1
0 6 0 4 1 4
2 4 1 6 5 6
6
5
13
Lattice multiplication (327 x 28)
1
0 6 0 4 1 4
2 4 1 6 5 6
6
5
1141411
14
Lattice multiplication (327 x 28)
1
1
0 6 0 4 1 4
2 4 1 6 5 6
5
1
6
15
Lattice multiplication (327 x 28)
1
1
0 6 0 4 1 4
2 4 1 6 5 6
5
1
6
1629
16
Lattice multiplication (327 x 28)
1
1
0 6 0 4 1 4
2 4 1 6 5 6
9
5
1
6
17
Lattice multiplication (327 x 28)
1
1
0 6 0 4 1 4
2 4 1 6 5 6
0
9
5
1
6
18
Lattice multiplication (327 x 28)
1
1
0 6 0 4 1 4
2 4 1 6 5 6
0
9
5
1
6
Now read off the digits according to the diagonal
place value columns
19
Lattice multiplication (327 x 28)
1
1
0 6 0 4 1 4
2 4 1 6 5 6
0
9
5
1
6
6 is in the ones column 5 in the tens 1 in the
hundreds 9 in the thousands 0 in the ten-thousands
20
Lattice multiplication (327 x 28)
1
1
0 6 0 4 1 4
2 4 1 6 5 6
0
9
5
1
6
6 is in the ones column 5 in the tens 1 in the
hundreds 9 in the thousands 0 in the ten-thousands
So 327 x 28 9156
21
Lattice multiplication (327 x 28)
1
1
0 6 0 4 1 4
2 4 1 6 5 6
0
9
5
1
6
Now calculate 327 x 28 by another method. Can you
see how your method is similar to this one?
22
Lattice multiplication (327 x 28)
327 x 28 56 160 2400 140
400 6000 9156
1
1
0 6 0 4 1 4
2 4 1 6 5 6
0
9
5
1
6
Did you write out all 6 partial products
separately? (like this)
23
Lattice multiplication (327 x 28)
327 x 28 56 160 2400 140
400 6000 9156
327 x 28 2616 6540 9156
1
1
0 6 0 4 1 4
2 4 1 6 5 6
0
9
5
1
6
Did you write out all 6 partial products
separately? (like this) Or did you use a
condensed version? (like this)
24
Lattice multiplication (327 x 28)
327 x 28 56 160 2400 140
400 6000 9156
327 x 28 2616 6540 9156
1
1
0 6 0 4 1 4
2 4 1 6 5 6
0
9
5
1
6
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!