1. Year 5 - Numeracy
Title page.

2.    
   
Year 5 - Numeracy
Long Multiplication
Title page.

3. and follow this example.
Oh no! I can’t do long multiplication. What am I going to do?
Don’t panic!
Take it step by step
and follow this example.
The problem.

4. 23 x 14 When multiplying these two numbers
together, it is easier to put
them into a grid.
The question.

5. partition the numbers into
The first thing to do is
partition the numbers into
tens and units.
23 x 14 20 3 10
Multiplication grid. 4

6. 23 x 14 20 3 200 30 10 80 12 4 Multiply the number above
the box with that on the left,
writing the answer inside the box,
as shown below.
23 x 14 20 3
200 30 10
Multiplication grid. 80 12 4

7. 23 x 14 20 3 200 10 30 230 4 80 12 92 The next step is to add up
the rows, putting the answer
in the boxes on the right.
23 x 14 20 3
200 10 30
230
Multiplication grid. 4 80 12 92

8. 23 x 14 20 3 200 10 30 230 4 80 12 92 322 Now add up the totals on the
right to give the answer.
23 x 14 20 3
200 10 30
230
Finished grid. 4 80 12 92
322

9. This is a little different
Now you can work out multiplication using the grid method, you will find long multiplication easy!
This is a little different
from the grid method,
as the numbers are
set out in columns…
Introduction to long multiplication.

10. 51 x 42
becomes 51 42 x
Multiplication set out in columns.

11. multiply the tens of the top number with the tens
Remember what
we did using
the grid method?
51 x 42 51 42 x
The first thing to do, is
multiply the tens of the
top number with the tens
and units of the bottom
number.
The first step.

12. multiplication you have
51 x 42 51 42 x
50 x 40
2000
50 x 2
100
Always write down the
multiplication you have
worked out next to
the answer.
The first step shown.

13. Next, multiply the
units of the top
number by the tens
and units of the
bottom number.
51 x 42 51 42 x
50 x 40
2000
50 x 2
100
The second step.

14. Don’t forget to
write down the
multiplication
next to the
answer.
51 x 42 51 42 x
50 x 40
2000
50 x 2
100
1 x 40 40
The second step shown.
1 x 2 2

15. The final step is
to add up the
column of
numbers and put
the total at
the bottom.
51 x 42 51 42 x
50 x 40
2000
50 x 2
100
1 x 40 40
The answer.
1 x 2 2
2142

16. Try using long multiplication
Now it's your turn
Try using long multiplication
to work out…
Now it’s your turn.
25 x 62

17. 25 x 62
becomes 25 62 x
Example.

18. 25 x 62 25 62 x x x
Remember:
The first step is to multiply the tens of the top number with the tens and units of the bottom number.
Fill in the missing numbers.

19. 25 x 62 25 62 x x 20 60 1200 x 20 2 40 x x The next step is to
multiply the units
of the top number
by the tens and
units of the bottom
number. 25 62 x x 20 60
1200 x 20 2 40 x
Second step. x

20. 25 x 62
Now add up
the totals
and put
them at the
bottom. 25 62 x x 20 60
1200 x 20 2 40 x 5 60
300
Final step. x 5 2 10

21. 25 x 62 25 62 x x 20 60
1200 x 20 2 40 x 5 60
300
Answer. x 5 2 10
1550

22. WELL DONE! You can now work out calculations using
long multiplication.
End.