For teaching and learning.

1. Russian multiplication
Here is how the russians used to
multiply.
74 x 45
First write the calculation with
the largest number first
Half the first number
ignore any remainder
37
Double the second number
90
Repeat this process
18 180
9 360
4 720
Stop when the left hand
number reaches 1
2 1440
1 2880

2. 74 x 45 The next step is to
cross out any even
numbers in the left
hand column
37
Then cross out opposite
numbers in the right hand
column
90
18 180
9 360
4 720
2 1440
Russian multiplication
1 2880

3. 74 x 45
Add the remaining numbers in
the right hand column
37 90
18 180
9 360
4 720
2 1440
Russian multiplication
1 2880
90
360
2880+
03
2
3
1
3
Finished 74 x 45 = 3 330

4. 57 x 38
Now try one for yourself, try to
keep ahead of the example
28 76
14 152
7 304
3 608
Russian multiplication
1 1216
304
608
1216+
661
1
2
Finished 57 x 38 = 2 166
2
38

5. Russian multiplication
Try these calculations, check
your answers with a friend to
correct any mistakes
1) 75 x 19 =
2) 79 x 36 =
3) 51 x 29 =
4) 92 x 57 =
5) 47 x 74 =
1425
2904
7479
5244
3478

6. Russian multiplication
Try these calculations, check
your answers with a friend to
correct any mistakes
1) 75 x 19 =
2) 79 x 36 =
3) 51 x 29 =
4) 92 x 57 =
5) 47 x 74 =
1425
2904
7479
5244
3478