Long multiplication splits each number into place-value parts, multiplies every pair, and adds the results together.
When you multiply 34×26, you can think of it as
four smaller multiplications using the grid method
(also called the area model):
34×26=(30+4)(20+6)
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.
Watch it work
Question: Use long multiplication to calculate
247×36.
Step 1: Multiply 247 by 6 (the ones digit of 36). 247×6=1,482.
Step 2: Multiply 247 by 30 (the tens digit of 36). 247×30=7,410.
Step 3: Add the partial products. 1,482+7,410=8,892.
Answer:247×36=8,892.
Have a go
Q1. Calculate 53×27.
53×7=371. 53×20=1,060. 371+1,060=1,431.
1,431
Q2. Calculate 186×45.
186×5=930. 186×40=7,440. 930+7,440=8,370.
8,370
Q3. A theatre has 32 rows with 48 seats in each row.
How many seats are there in total?
32×48. 32×8=256. 32×40=1,280. 256+1,280=1,536.
1,536 seats.
Q4. Use the grid method to calculate
124×13.
Split as (100+20+4)×(10+3). 100×10=1,000,
20×10=200,
4×10=40. 100×3=300,
20×3=60,
4×3=12. 1,000+200+40+300+60+12=1,612.
1,612
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