!
Multiplication
Strategies
Posters
2 digit x 1 digit
Splitting Strategy
Box Strategy
Repetitive Addition
Japanese Lines
Array
Standard Algorithm
Grouping
2 digit x 2 digit
Splitting Strategy
Box Strategy
Lattice Method
Japanese Lines
Standard Algorithm
!
Splitting Strategy
48 x 6
1. Split 48 into
Friendly
numbers
2. Multiply
40 x 6 and
8x6
3. Add 240 +
48 to find the
answer.
48 x 6
40 8 6
240 48
=288
!
Box Strategy
48 x 6
1. Draw a 2 column box.
2. Break 48 into Friendly
Numbers and write 40
over one column and 8
over the other. Write 6
to the left of the box.
6
3. Multiply 6 x 40 and
6x8
6 240 48
4. Add 240 + 48
40
8
40
8
240+48 = 288
!
Repetitive Addition
48 x 6
4
48
48
48
48
+ 48
288
Option 1 - Add 48
together 6 times.
48
+ 48
96
+ 48
144
+ 48
Option 2 - Add 48
+48. Add 48 to the
total. Continue
192
totalling and adding + 48
240
48 until you have
+ 48
added 48 6 times.
288
!
Japanese Lines
48 x 6
1. Draw 4 lines slanted up to
the right. Leave a space and
then draw 8 more lines
underneath.
2. Draw 6 more lines, slanting
down over top of the lines you
have already drawn. Make
sure to cross all of the lines.
3. Count the number of times
the blue and green lines cross.
These lines represent
numbers in the tens column.
4. Count the number of times
the orange and green lines
cross. These lines represent
numbers in the ones column.
5. Add the tens and ones
together.
blue+green
= 24 tens
orange+green
= 48 ones
24 tens + 48 ones
= 288
!
Grouping Strategy
48 x 6
1. Draw 6 groups
2. Place 48 tally marks in each
group.
3. Count up the tally marks to
find the answer.
= 288
!
Array
48 x 6
Method 1 - Draw a large
rectangle with 48 columns and
6 rows. Count the number of
boxes to find the answer.
= 288
Method 2 - Draw 48 rows of 6
dots each. Count the number of
dots to find the answer.
= 288
!
Box Strategy
48 x 16 40
1. Draw a box with 4
sections.
2. Break 48 and 16 into
Friendly numbers. Write
them above and beside
the boxes.
3. Multiply a number
from the top of the box
by a number from the
left of the box, writing
the number in the
corresponding cell.
4. Add all the numbers
together.
8
10
6
40
8
10 400 80
6 240 48
400
240
80
+ 48
768
!
Japanese Lines
48 x 16
1. Draw 4 lines slanted up to
the right. Leave a space and
then draw 8 more lines
underneath.
2. Draw a line that slants the
other direction overtop of
lines you already drew. Leave
a space and draw 6 more
lines.
3. Count the number of times
each group of lines crosses.
The Red and Blue lines
represent the hundreds
column, Green and Blue plus
Red and Orange are the tens
column, and Orange and Green
are the ones column.
4. Add the ones, tens and
hundreds together.
32
4
48
8
48 ones
32 tens
8 tens
+ 4 hundreds
768
!
Standard Algorithm
48 x 6
1. Write 48 and 6
vertically, lining up
the place value
columns with the 6
underneath the 8.
2. Multiply 6x8.
Record the 8
underneath the 6
and carry the 4.
3. Multiply 6 x 4,
then add the 4 that
was carried over.
48
6
4
48
6
8
4
48
6
288
!
Lattice Method
48 x 16
4
1. Arrange 48 and 16 around a
2x2 grid, then draw diagonal
lines through the squares.
1
2. Fill each square with the
product from above the
square and to the right. The
tens column of the product
goes in the upper half of the
square. If there is no tens
digit, record a 0.
3. Starting from the lower
right, add the numbers along
the diagonals. If you get a 2
digit answer, carry the tens
column into the row above.
4, To find the answer, read
the digits starting down the
left of the grid and
continuing across the bottom.
8
6
4
0
2
4
4
8
0
4
0
7
2
1
6
1
8 6
4
0
8
8
4
4
0
8
1
8
6
4
8
!
Splitting Strategy
48 x 16
1. Split 48 and
into Friendly
numbers
2. Multiply
40 x 6 and
40x10. Then
multiply 8 x 10
and 8 x6.
48 x 16
40 8 10 6
400
48
80
240
3. Add
400+240+80+48
=768
!
Standard Algorithm
48 x 16
1. Multiply 6x8. Record
the 8 underneath the 6
and carry the 4.
4
48
16
28 8
4
2. Multiply 6 x 4, then
add the 4 that was
carried over.
3. Place a 0 in the ones
column under the 8.
4. Multiply 1x8 and
record it beside the
0 in the tens column.
Next multiply 1 x 4.
5. Add 288 +480
4
48
16
288
0
48
16
288
480
4
48
16
288
480
768
!
Multiplication Strategies
Posters
Credits:
Borders by: Math Rocks
Clipart by: Scrappin Doodles
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