Solve 821 × 54 using an area model
Answer:
44334
Step-by-step explanation:
The given expression is
\(821\times 54\)
We need to find the product of 821 and 54 using area model.
Write each number as the sum of place values.
\(821=800+20+1\)
\(54=50+4\)
So, the given expression can be written as
\((800+20+1)(50+4)\)
\(800(50+4)+20(50+4)+1(50+4)\)
\(800(50)+800(4)+20(50)+20(4)+50+4\)
\(40000+3200+1000+80+50+4\)
\(44334\)
Therefore, the value of given expression is 44334.