Use the standard algorithm to find the product of 2,456 and 867. Record the products of each multiplying through by each place value in 867 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 2,456 * 7 = 17,192.
The product of multiplying by the tens digit is 2,456 * 60 = 147,360.
The product of multiplying by the hundreds digit is 2,456 * 800 = 1,964,800.
The final product is 17,192 + 147,360 + 1,964,800 = 2,129,352.
the bot is right this time
To find the product of 2,456 and 867 using the standard algorithm, you multiply each digit of 867 by each digit of 2,456.
Let's break it down step by step:
First, multiply the ones digit of 867 (7) by each digit of 2,456:
7 x 6 = 42
7 x 5 = 35
7 x 4 = 28
7 x 2 = 14
Next, multiply the tens digit of 867 (6) by each digit of 2,456:
6 x 6 = 36
6 x 5 = 30
6 x 4 = 24
6 x 2 = 12
Then, multiply the hundreds digit of 867 (8) by each digit of 2,456:
8 x 6 = 48
8 x 5 = 40
8 x 4 = 32
8 x 2 = 16
Finally, add up the products of each multiplication:
The product of multiplying by the ones digit is 42 + 35 + 28 + 14 = 119
The product of multiplying by the tens digit is 36 + 30 + 24 + 12 = 102
The product of multiplying by the hundreds digit is 48 + 40 + 32 + 16 = 136
Thus, the final product is the sum of these three products:
119 + 102 + 136 = 357
To find the product of 2,456 and 867 using the standard algorithm, you need to follow these steps:
Step 1: Line up the numbers.
2,456
x 867
___________
Step 2: Start by multiplying the ones digit of 867 (7) by the entire top number (2,456).
7 * 2,456 = 17,192
Step 3: Record the product of multiplying the ones digit (7) by the entire top number (2,456). The product of multiplying by the ones digit is 17,192.
The first line of your answer should look like this:
. . . . . 1 7, 1 9 2
Step 4: Next, multiply the tens digit of 867 (6) by the entire top number (2,456), but remember to shift one place to the left.
6 * 2,456 = 14,7360
Step 5: Record the product of multiplying the tens digit (6) by the entire top number (2,456). The product of multiplying by the tens digit is 14,7360.
The second line of your answer should look like this:
. . . . . 1 4, 7 3 6 0
Step 6: Finally, multiply the hundreds digit of 867 (8) by the entire top number (2,456), but remember to shift two places to the left.
8 * 2,456 = 19,6480
Step 7: Record the product of multiplying the hundreds digit (8) by the entire top number (2,456). The product of multiplying by the hundreds digit is 19,6480.
The third line of your answer should look like this:
. . . . 1 9, 6 4 8 0
Step 8: Now, add the three products together:
17,192 + 147,360 + 196,480 = 361,032
Step 9: Record the final product. The product is 361,032.
The final line of your answer should look like this:
_____ 361,032
So, the product of multiplying 2,456 by 867 using the standard algorithm is 361,032.