Use the standard algorithm to find the product of 355 and 893. Record the products of each multiplying through by each place value in 893 as well as the final product.(2 points)
The product of multiplying by the ones digit is
. The product of multiplying by the tens digit is
. The product of multiplying by the hundreds digit is
. The product is
The product of multiplying by the ones digit is 355 × 3 = 1065.
The product of multiplying by the tens digit is 355 × 9 = 3195.
The product of multiplying by the hundreds digit is 355 × 8 = 2840.
The final product is 3195 + 2840 × 10 + 1065 × 100 = 316115.
To find the product of 355 and 893 using the standard algorithm, follow these steps:
Step 1: Write down the two numbers vertically, aligning them by place value:
355
x 893
Step 2: Start with the ones digit (3), and multiply it by each digit in the second number (893).
3 multiplied by 3 = 9
3 multiplied by 9 = 27
3 multiplied by 8 = 24
The product of multiplying by the ones digit is: 9, 27, 24
Step 3: Move to the tens digit (5), and multiply it by each digit in the second number (893).
5 multiplied by 3 = 15
5 multiplied by 9 = 45
5 multiplied by 8 = 40
The product of multiplying by the tens digit is: 15, 45, 40
Step 4: Move to the hundreds digit (3), and multiply it by each digit in the second number (893).
3 multiplied by 3 = 9
3 multiplied by 9 = 27
3 multiplied by 8 = 24
The product of multiplying by the hundreds digit is: 9, 27, 24
Step 5: Add up the products from each step to get the final product.
Add up all the products: 9 + 27 + 24 (ones digit) + 15 + 45 + 40 + 9 + 27 + 24 (tens digit) + 9 + 27 + 24 (hundreds digit)
The product is 11,194.
So, the final product of multiplying 355 and 893 using the standard algorithm is 11,194.
whats the answer
To find the product of 355 and 893 using the standard algorithm, you can follow these steps:
Step 1: Start by multiplying the ones digit of 893 (3) with each digit in 355.
3 * 5 = 15
Step 2: Multiply the tens digit of 893 (9) with each digit in 355, shifting one place to the left.
9 * 50 = 450
Step 3: Next, multiply the hundreds digit of 893 (8) with each digit in 355, shifting two places to the left.
8 * 300 = 2400
Step 4: Finally, add up all the products calculated in the previous steps.
15 + 450 + 2400 = 2865
Therefore, the product of 355 and 893 using the standard algorithm is 2865.