Find the product of 896 and 286 using the standard algorithm.(1 point)
Responses
256,256
256,256
256,156
256,156
254,156
254,156
14,336
The correct product is 256,256.
To find the product of 896 and 286 using the standard algorithm, follow the steps below:
Step 1: Write the numbers vertically, aligning them on the right:
896
× 286
Step 2: Multiply the ones digit of 896 by each digit of 286, starting from the right:
896
× 6
-------
5376
Step 3: Multiply the tens digit of 896 by each digit of 286, shifting one place to the left for each new product:
896
× 80
-------
71680
Step 4: Multiply the hundreds digit of 896 by each digit of 286, shifting two places to the left for each new product:
896
× 200
-------
179200
Step 5: Add the partial products together:
896
× 286
-------
179200
+ 71680
+ 5376
-------
256256
Therefore, the product of 896 and 286 using the standard algorithm is 256,256.
To find the product of 896 and 286 using the standard algorithm, follow these steps:
Step 1: Write the two numbers one below the other, aligning them by their units place. In this case, write 896 below 286.
896
× 286
Step 2: Begin by multiplying the units digit of the top number (6 in this case) with the entire bottom number (286).
896
× 286
---------
5376
Step 3: Shift the bottom number one place to the left and multiply it with the tens digit of the top number (8 in this case).
896
× 286
---------
5376
2688
------
25728
Step 4: Shift the bottom number one more place to the left and multiply it with the hundreds digit of the top number (9 in this case).
896
× 286
---------
5376
2688
25728
----------
256256
Therefore, the product of 896 and 286 is 256,256.