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

Answer 1

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

1. Set up the numbers for multiplication:

      896
   ×  286
   

2. Multiply 896 by each digit of 286, starting from the right (the units place):

   • Multiply 896 by 6 (the units place of 286):

     896
     

   × 6

   5376 (this is 6 × 896)

   
   - Multiply 896 by 8 (the tens place of 286) and remember to add a zero at the end:
   

   896 × 80

   71680 (this is 80 × 896, or 8 × 896 with a zero added)

   
   - Multiply 896 by 2 (the hundreds place of 286) and add two zeros at the end:
   

   896 × 200

   179200 (this is 200 × 896, or 2 × 896 with two zeros added)

3. Now, add all the products together:

           5376
        +71680
      +179200
      ---------
       256256
   

Thus, the product of 896 and 286 is 256256.