Grid Method vs Long Multiplication: What's the Difference?
By the TimesTable.co team · Updated · 3 min read
Many parents learnt long multiplication at school and are puzzled when their child comes home drawing grids. The grid method isn't a replacement. It's a stepping stone. It shows exactly what long multiplication does behind the scenes. Here's the same problem worked both ways so you can see how they connect.
How does the grid method work?
34 × 26
Split each number into tens and ones (34 = 30 + 4 and 26 = 20 + 6) and make a grid:
| × | 30 | 4 |
|---|---|---|
| 20 | 600 | 80 |
| 6 | 180 | 24 |
Add all four boxes: 600 + 80 + 180 + 24 = 884.
Every box is a times tables fact with zeros attached: 3 × 2 = 6, so 30 × 20 = 600. That's why times tables matter so much here.
How does long multiplication work?
Same problem, 34 × 26, written in columns:
- Multiply by 6 (the ones): 6 × 4 = 24, write 4 carry 2; 6 × 3 = 18, plus 2 = 20. First row: 204.
- Multiply by 20 (the tens): write a 0 in the ones column as a placeholder, then 2 × 4 = 8 and 2 × 3 = 6. Second row: 680.
- Add the rows: 204 + 680 = 884.
How do the two methods match up?
The first row of long multiplication (204) is the bottom row of the grid: 180 + 24. The second row (680) is the top row: 600 + 80. Long multiplication is simply the grid with each row added up as you go. Showing your child this link is often the moment it clicks.
Why do schools start with the grid method?
- It keeps place value visible: the 3 in 34 is clearly 30.
- There's no carrying to forget.
- It links multiplication to area, which helps later with algebra (the same idea expands brackets).
The downside is speed and space: for 3-digit × 2-digit numbers you need six boxes. That's when long multiplication pays off.
What mistakes should you watch for?
- Grid: writing 30 × 20 as 60 instead of 600; forgetting a box when adding.
- Long multiplication: forgetting the placeholder 0 on the second row; adding the carried digit before multiplying instead of after.
Is there a quick way to check?
Estimate: 34 × 26 is roughly 30 × 25 = 750, so 884 is sensible and 8,840 isn't. Or use the commutative property and work out 26 × 34 instead.
How can you practise at home?
Try long multiplication practice, which walks through each row and even has a decimals level. The multiplication visualiser shows the area idea behind the grid, and the worksheet generator can print multiplication sheets. For the times tables facts inside every box, keep up a little smart practice.
What should my child know first?
Secure times tables (see how to learn times tables) and confident column addition, since every long multiplication ends with an addition. Once it clicks, long division uses many of the same skills.
Frequently asked questions
What is the grid method of multiplication?
A way of multiplying by splitting each number into tens and ones, multiplying every part in a grid, and adding all the answers. For 23 × 4: 20 × 4 = 80 and 3 × 4 = 12, so 92.
What is the difference between the grid method and long multiplication?
They use the same idea (multiplying each place value separately), but the grid lays every part out in boxes, while long multiplication compresses the work into fewer rows with carrying.
Why do schools teach the grid method first?
It makes place value visible, so children understand why multiplication works before they learn the faster, more compact column method.
When do children move to long multiplication?
In England, short multiplication (by a 1-digit number) comes in Year 4 and long multiplication by a 2-digit number is expected in Years 5 and 6.
Is the grid method the same as the area model?
Yes. In the US it is usually called the area model or box method, because each box represents part of the area of a rectangle.
Which method is better?
The grid method is clearer and good for understanding; long multiplication is faster for bigger numbers. Most children should end up confident with long multiplication.