Find the product of 896 and 286 using the standard algorithm.(1 point)

Question

Responses

256,256
256,256

256,156
256,156

14,336
14,336

254,156
254,156

Answer 1

To find the product of 896 and 286 using the standard algorithm, we can set it up as follows:

      896
   x  286
   ________

We will multiply 896 by each digit of 286, starting from the rightmost digit.

1. Multiply 896 by 6 (the rightmost digit of 286):

           896
        x     6
    __________
          5376   (This is 896 * 6)
   

2. Multiply 896 by 8 (the second digit of 286, which is actually 80):

           896
        x    80
    __________
         71680   (This is 896 * 8, shifted one position to the left)
   

3. Multiply 896 by 2 (the leftmost digit of 286, which is actually 200):

           896
        x   200
    __________
        179200   (This is 896 * 2, shifted two positions to the left)
   

Now we add all these partial results together:

       5376
     71680
   +179200
   _________
   256256

The final product of \( 896 \times 286 \) is 256,256.

Therefore, the correct answer is:

256,256