Find the product of 896 and 286 using the standard algorithm.
To find the product of 896 and 286 using the standard algorithm, follow these steps:
Step 1: Write the numbers vertically, with one number below the other:
896
× 286
Step 2: Multiply the ones digit of the bottom number (6) by each digit of the top number, starting from the right and working left. Write the results below each digit:
896
× 286
-------
5376 <-- 6 multiplied by 896
Step 3: Multiply the tens digit of the bottom number (8) by each digit of the top number, starting from the right and working left. Write the results below each digit, shifted one place to the left:
896
× 286
-------
5376 <-- 6 multiplied by 896
7168 <-- 8 multiplied by 896, shifted one place to the left
Step 4: Multiply the hundreds digit of the bottom number (2) by each digit of the top number, starting from the right and working left. Write the results below each digit, shifted two places to the left:
896
× 286
-------
5376 <-- 6 multiplied by 896
7168 <-- 8 multiplied by 896, shifted one place to the left
1792 <-- 2 multiplied by 896, shifted two places to the left
Step 5: Add up all the partial products:
896
× 286
-------
5376 <-- 6 multiplied by 896
7168 <-- 8 multiplied by 896, shifted one place to the left
+ 1792 <-- 2 multiplied by 896, shifted two places to the left
-------
256256
So, the product of 896 and 286 is 256,256.
To multiply 896 and 286 using the standard algorithm, follow these steps:
Step 1: Write down the first number, 896, on top and the second number, 286, below it.
896
× 286
Step 2: Starting from the rightmost digit of the second number, multiply it with each digit of the first number.
896
× 286
______
5376 (6 multiplied by each digit of the first number)
2688 (8 multiplied by each digit of the first number, shifting one place to the left)
896 (9 multiplied by each digit of the first number, shifting two places to the left)
Step 3: Add up the partial products.
5376
+ 2688
+ 896
______
256256
Therefore, the product of 896 and 286 is 256,256.
896
x 286
---------
5376
+ 2688
---------
256256
Therefore, the product of 896 and 286 is 256,256.