Final answer:
The product of 2,744 x 8 is found by breaking down the number 2,744 into place values, multiplying each by 8, and summing the results. The product is 21,952.
Step-by-step explanation:
To find the product of 2,744 x 8 using the area model, we'll break down 2,744 into its place values and multiply each by 8, then sum the results. First, we express 2,744 as 2,000 + 700 + 40 + 4. Each of these is then multiplied by 8:
- 2,000 x 8 = 16,000
- 700 x 8 = 5,600
- 40 x 8 = 320
- 4 x 8 = 32
Now, we add up these products:
16,000 + 5,600 + 320 + 32 = 21,952.
Therefore, the product of 2,744 x 8 is 21,952.