Multiplication

In a Nutshell

Long multiplication splits each number into place-value parts, multiplies every pair, and adds the results together.

When you multiply 34×2634 \times 26, you can think of it as four smaller multiplications using the grid method (also called the area model):

34×26=(30+4)(20+6)34 \times 26 = (30 + 4)(20 + 6)

Split each number by place value, put the parts along the top and side of a grid, find each partial product, then add them all up. The diagram below builds this grid for you.

Grid multiplication diagram An area model grid showing how multi-digit multiplication can be broken into smaller partial products.

Watch it work

Question: Use long multiplication to calculate 247×36247 \times 36.

Have a go

Q1. Calculate 53×2753 \times 27.

Q2. Calculate 186×45186 \times 45.

Q3. A theatre has 32 rows with 48 seats in each row. How many seats are there in total?

Q4. Use the grid method to calculate 124×13124 \times 13.