Your child is probably being taught the Lattice method of multiplication. Most likely you learned the Standard method but to help your children with their homework you must understand how they are being taught. Join our group at kidsalgebra.com to keep up with the times (pun unintended).

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Welcome to this Lesson on
how to do Multiplication the
“Lattice” way.
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You need to check with your
Teacher if they want you to
learn the “Standard” method
of multiplication
or the “Lattice” method.
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You’re free to check out both
methods, but in this lesson
you’ll learn the “Lattice”
method of multiplication.
04

4. It’s called the “Lattice” method because the
layout you’ll use looks like a lattice.
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5. 1 2 3 4 5 6 7 8 9 10 11 12
2 4 6 8 10 12 14 16 18 20 22 24
3 6 9 12 15 18 21 24 27 30 33 36
4 8 12 16 20 24 28 32 36 40 44 48
5 10 15 20 25 30 35 40 45 50 55 60
6 12 18 24 30 36 42 48 54 60 66 72
7 14 21 28 35 42 49 56 63 70 77 84
8 16 24 32 40 48 56 64 72 80 88 96
9 18 27 36 45 54 63 72 81 90 99 108
10 20 30 40 50 60 70 80 90 100 110 120
11 22 33 44 55 66 77 88 99 110 121 132
12 24 36 48 60 72 84 96 108 120 132 144
By now you should know all of
your Times Tables.
So you’ll know answers like
3 x 8 = 24
without counting.
x
=
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6. But you also need to know how to
multiply numbers bigger than 12.
That’s because you need to be able to
solve problems like this one …
Farmer Brown has 23 tomato gardens
on his farm.
Each garden has 16 rows of 64 tomato
plants.
How many tomato plants does Farmer
Brown have?
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7. To answer this question you need to
know how to multiply numbers that are
bigger than 12. Like 16 x 64.
But the biggest single number you’ll ever
need to multiply by is 9, so you really
only need to remember up to your 10
times tables.
That’s already made your job of learning
multiplication a lot easier!
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8. So here’s the problem that we’ll solve to
show you how to do the “Lattice”
method of multiplication.
Farmer Brown has 23 tomato gardens on
his farm.
Each garden has 16 rows of 64 tomato
plants.
How many tomato plants does Farmer
Brown have?
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To solve problems like this, you have
to decide on two things:
(1) What Answer are you looking for.
&
(2) What Steps do you need to take
to find the Answer.
10

10. The Answer you want is:
“How many tomato plants does Farmer
Brown have?”
Or more simply, the
“Total number of tomato plants.”
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11. The 1st Step is to calculate how many
Tomato plants there are in each Garden.
Each Garden has this many tomato plants:
16 rows of 64 Tomato plants.
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9 10 11 12 13 14 15
16
1 2 3 4 5 6 7 8
16 rows
This is what each Tomato
garden looks like
12

12. The 2nd Step is to calculate …
How many tomato plants Farmer
Brown has in his 23 tomato gardens.
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1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
This is what all of his 23 tomato
gardens look like from high above.
13

13. You can draw a picture of the two Steps
and the Answer like this:
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1st Step 2nd Step Answer
14

14. So here are the two Steps to get to the
Answer.
1st Step: Number of tomato plants in
each Garden.
2nd Step: Number of tomato plants in all
23 Gardens.
www.kidsalgebra.com
1st
Step:
16 x 64
2nd Step:
Answer from
Step 1 x 23
Answer:
Total
Plants
15

15. To multiply using the “Lattice” way, you write
16 x 64 = like this.
16 x 64
1 6
6
4
First number
across the top.
Second number
across the side.
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16. You’ll write the number with the most digits across
the top. Here both numbers have 2 digits so you
can put either number at the top.
16 x 64
1 6
6
4
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17. But first let me
explain how “Lattice”
multiplication works.
You may have seen
“Tens” and “Singles”
written in columns.
But the “Lattice” way
you write them down
like this.
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T S
1 6 Tens Column.
Singles Column.
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2 x 8
Here’s the “Lattice” way
of doing multiplication.
You’ll multiply by writing
your numbers like this.
2
8
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2 x 8 = 1 6
You already know this
from your 2 Times Table.
So using the “Lattice”
way you fill out the lattice
like this.
6
1
2
8
The 1 in 16 is a “Ten”. Put the 1 in
the “Tens” lattice.
The 6 in 16 is six “Singles”. Put the
6 in the “Singles” lattice.
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2 x 4 = 08
Let’s look at what you do with a zero
in 2 x 4 = 8.
8
0
2
4
The “Ten” is 0.
21

21. Let’s work out the answer to the 1st Step
using the “Lattice Method”.
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1st Step:
16 x 64
2nd Step:
Answer from
Step 1 x 23
Answer:
Total
Plants
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First you need to make a lattice that has
two columns for the 2 digits in the 1st number
and two rows for 2 digits in the 2nd number.
16 x 64 =
1 6
6
4
First number
across the top.
Second number
across the side.
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Start with the Top-Left Block.
1 6
6
4
The Top-Left
Block.
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Multiply the 1 that’s above the top-left
block’s column by the 6 that’s in the right
of the top-left block’s row.
1 x 6
1 6
6
4
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From your 1 Times Table you know that
1 x 6 = 6.
1 x 6 = 6
1 6
6
4
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Write the 6 from 1 x 6 = 6 into the
“Singles” lattice in the block.
1 x 6 = 6
1 6
6
4
6
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There are 0 “Tens” in the answer 1 x 6 = 6,
so you write a 0 into the “Tens” lattice in
the block.
1 x 6 = 06
1 6
6
4
6
0
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Moving to the block to the right, multiply the
6 that’s above the block’s column by the 6
that’s to the right of the block’s row.
6 x 6
1 6
6
4
6
0
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From your 6 Times Table you know that
6 x 6 = 36.
6 x 6 = 36
1 6
6
4
6
0

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Write the 6 from 6 x 6 = 36 into the
“Singles” lattice in the block.
6 x 6 = 36
1 6
6
4
66
0

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Write the 3 from 6 x 6 = 36 into the “Tens”
lattice in the block.
6 x 6 = 36
1 6
6
4
6
3
6
0

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Move to the next block down and to
the left.
1 6
6
4
6
3
6
0

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Multiply 1 x 4 = 4. There are no
“Tens” so put 0from 1 x 4 = 04 in the
“Tens” lattice.
Put the 4 into the “Singles” lattice.
1 6
6
4
6
3
6
0
0
1 x 4 = 04
4

34. Move to the next block to the right.
1 6
6
4
6
3
6
0
0
4
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Multiply 6 x 4 = 24 and put the 2
in the “Tens” lattice and the 4 into the
“Singles” lattice.
1 6
6
4
6
3
6
0
0
6 x 4 = 24
4
2
4

36. Now add “Diagonal Stripes”.
1 6
6
4
6
3
6
0
0
4
2
4
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37. Start at the bottom-right and move
left then up.
1 6
6
4
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6
3
6
0
0
4
2
4
Start with the 1st diagonal to
the right then move to the next
diagonal to the left.

38. There is only a 4 in that diagonal.
So there’s nothing to add to the 4.
Write the 4 along the diagonal.
1 6
6
4
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6
3
6
0
0
4
2
4
4 The 4 is a
“Single”.

39. Move left to the next diagonal and add
up all the numbers in that diagonal.
1 6
6
4
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6
3
6
0
0
4
2
4
4 + 2 + 6 = 12 4
The 12 is 12
“Tens”.

40. You keep the 2 “Tens” and “Carry” the
1 “Hundred”.
1 6
6
4
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6
3
6
0
0
4
2
4
12 4
1
Carry the 1
“Hundred”.

41. Next add 1 + 0 + 6 + 3 = 10 in the
next diagonal.
1 6
6
4
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6
3
6
0
0
4
2
4
2 4
1
Remember to also add
the 1 “Hundred” that
you Carried.

42. After adding the numbers to make 10, you
should cross off the 1 “Hundred” that you Carried
so you know not to add it again by accident.
1 6
6
4
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6
3
6
0
0
4
2
4
2 4
1

43. Leave the 0 in the “Hundreds”
diagonal and carry the 1 “Thousand”.
1 6
6
4
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6
3
6
0
0
4
2
4
2 4
110
Carry the 1
“Thousand”.
1

44. Move up on the left side to the last
diagonal. There is a 0 + the 1
“Thousand” that you carried.
1 6
6
4
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6
3
6
0
0
4
2
4
2 4
10
1

45. Write down the answer to 1 + 0 = 1
and cross off the 1 “Thousand” that
you carried.
1 6
6
4
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6
3
6
0
0
4
2
4
2 4
10
1 1
1 + 0 = 1

46. Next start from the top left and move
down and to the right.
Write down the answer.
1 6
6
4
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6
3
6
0
0
4
2
4
2 4
10
1 1
Start
here.
1,024

47. The number of tomato plants in each
Garden = 1,024. Now you can do the
2nd Step: Number of tomato plants in all
23 Gardens.
www.kidsalgebra.com
1st
Step:
16 x 64
= 1,024
2nd Step:
1,024 x 23
Answer:
Total
Plants

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Put the number with the most digits at the
top. Make a lattice that has one column for
each digit in the top number and a row for
each digit in the other number.
1024 x 23
1 0 2 4
2
3
Biggest number
across the top.
Two digits
across the
side.

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Start with the Top-Left Block.
The Top-Left
Block.
1 0 2 4
2
3

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Multiply the 1 that’s above the top-left
block’s column by the 2 that’s in the right
of the top-left block’s row.
1 x 2 = 2
1 0 2 4
2
3

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Put the 2 “Singles” in the “Singles” lattice
and because there are no “Tens”, put a 0
into the “Tens” lattice.
1 x 2 = 2
1 0 2 4
2
0
0
0 in the
“Tens” lattice.
2 in the
“Singles”
lattice.
2
3

52. 2
3
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Move right one block. This one’s easy,
0 x 2 = 0. There are also 0 “Tens”
So 0 goes into both the “Singles” the “Tens”.
0 x 2 = 0
1 0 2 4
2
0
0
0 in the
“Tens” lattice.
0 in the “Singles”
lattice.
0
0

53. 2
3
www.kidsalgebra.com
Move right one block.
2 x 2 = 4. There are 0 “Tens” so the 4 goes
into the “Singles” and 0 into the “Tens”.
2 x 2 = 4
1 0 2 4
2
0
0
0
0
0 in the
“Tens” lattice.
4 in the “Singles”
lattice.
4
0

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Move right one block.
4 x 2 = 8. There are 0 “Tens” so the 8 goes
into the “Singles” and 0 into the “Tens”.
4 x 2 = 8
1 0 2 4
2
0
0
0
0
0 in the
“Tens” lattice.
8 in the “Singles”
lattice.
4
0
8
0 2
3

55. 2
3
www.kidsalgebra.com
Move down one row starting with the block
on the left. 1 x 3 = 3. The 3 goes into the
“Singles” and a 0 goes into the “Tens”.
1 x 3 = 3
1 0 2 4
2
0
0
0
3 in the “Singles”
lattice.
4
0
8
0
3
0
0
0 in the
“Tens” lattice.

56. 2
3
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0 x 3 = 0
1 0 2 4
2
0
0
0
0 in the “Singles”
lattice.
4
0
8
0
3
0
0
0 in the
“Tens” lattice.
Move right one block. This one’s easy,
0 x 3 = 0. There are also 0 “Tens”
So 0 goes into both the “Singles” the “Tens”.
0
0

57. 2
3
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2 x 3 = 6
1 0 2 4
2
0
0
0
6 in the “Singles”
lattice.
4
0
8
0
3
0
0
0 in the
“Tens” lattice.
0
0
Move right one block.
2 x 3 = 6. There are 0 “Tens” so the 6 goes
into the “Singles” and 0 into the “Tens”.
6
0

58. 2
3
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4 x 3 = 12
1 0 2 4
2
0
0
0
2 in the “Singles”
lattice.
4
0
8
0
3
0
0
0
6
0
2
1
Move right one block.
4 x 3 = 12. The 2 goes into the “Singles” and
the 1 “Ten” goes into the “Tens”.
1 in the
“Tens” lattice.

59. Now add “Diagonal Stripes”.
www.kidsalgebra.com
1 0 2 4
2
3
2
0
0
0
4
0
8
0
3
0
0
0
6
0
2
1

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There’s only one
number, 2 the 1st
diagonal.
There is only a 2 in the 1st diagonal.
So there’s nothing to add to the 2.
1 0 2 4
2
3
2
0
0
0
4
0
8
0
3
0
0
0
6
0
2
1

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Write the 2 at the end of
the diagonal.
1 0 2 4
2
3
2
0
0
0
4
0
8
0
3
0
0
0
6
0
2
1
2

62. Move to the next diagonal to the left
and add 6 + 1 + 8 = 15
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1 0 2 4
2
3
2
0
0
0
4
0
8
0
3
0
0
0
6
0
2
1
2

63. Write the 5 at the end of the diagonal
and carry the 1 in 6 + 1 + 8 = 15
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1 0 2 4
2
3
2
0
0
0
4
0
8
0
3
0
0
0
6
0
2
1
5
1
2

64. Move to the next diagonal to the left.
Add 1 + 0 + 0 + 4 + 0 = 5
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1 0 2 4
2
3
2
0
0
0
4
0
8
0
3
0
0
0
6
0
2
1
5
1
2

65. Cross out the 1 that you “Carried” and
write down the 5 in it’s diagonal.
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1 0 2 4
2
3
2
0
0
0
4
0
8
0
3
0
0
0
6
0
2
1
5
1
25

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1 0 2 4
2
3
2
0
0
0
4
0
8
0
3
0
0
0
6
0
2
1
5
1
25
Move to the next diagonal to the left.
Add 3 + 0 + 0 + 0 = 3

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1 0 2 4
2
3
2
0
0
0
4
0
8
0
3
0
0
0
6
0
2
1
5
1
25
Write the 3 in it’s diagonal.
3

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1 0 2 4
2
3
2
0
0
0
4
0
8
0
3
0
0
0
6
0
2
1
5
1
25
Move to the next diagonal.
Add 0 + 2 + 0 = 2 and
write the 2 in it’s diagonal.
3
2

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1 0 2 4
2
3
2
0
0
0
4
0
8
0
3
0
0
0
6
0
2
1
0
5
1
25
The last diagonal has just one 0.
So just write the 0 in it’s diagonal.
3
2

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1 0 2 4
2
3
2
0
0
0
4
0
8
0
3
0
0
0
6
0
2
1
0
5
1
253
2
Next start from the top left and move
down and to the right. Write down the
answer. Drop off the 0 at the front.
23,552

71. The number of tomato plants in each Garden =
1,024 and the number of tomato plants in all
23 Gardens = 23,552.
That’s the answer to the problem!
www.kidsalgebra.com
1st
Step:
16 x 64
= 1,024
2nd Step:
1,024 x 23
= 23,552
Answer:
Total
Plants =
23,552

72. www.kidsalgebra.com
You can get a Wall
Hanging at
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to follow and practice
your multiplication.