Use the standard algorithm to find the product of 765 and 222. Record the products of each multiplying through by each place value in 222 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 .
To find the product of 765 and 222, we can use the standard algorithm. Let's break down the multiplication by each place value in 222.
765
× 222
________
1530 (product of multiplying by the ones digit)
+ 7650 (product of multiplying by the tens digit)
+ 15300 (product of multiplying by the hundreds digit)
_________
169230 (final product)
Therefore, the product of multiplying by the ones digit is 1530, the product of multiplying by the tens digit is 7650, the product of multiplying by the hundreds digit is 15300, and the final product is 169230.
To find the product of 765 and 222 using the standard algorithm, we can multiply each place value of 222 by 765 and then add up the results.
First, let's start by multiplying 222 by the ones digit of 765.
765 x 2 = 1530
Next, we multiply 222 by the tens digit of 765.
765 x 20 = 15300
Finally, we multiply 222 by the hundreds digit of 765.
765 x 200 = 153000
Now, let's add up the products we found.
1530 + 15300 + 153000 = 169830
Therefore, the product of 765 and 222 is 169830.
To find the product of 765 and 222 using the standard algorithm, follow these steps:
Step 1: Set up the multiplication problem with 765 as the multiplier and 222 as the multiplicand:
765
x 222
-----
Step 2: Begin multiplying from right to left, starting with the ones digit of 222.
Multiply the ones digit 2 by 765:
2 x 765 = <<2*765=1530>>1530
Record the product of multiplying by the ones digit as 1530.
Step 3: Move to the next digit, which is the tens digit in 222.
Multiply the tens digit 2 by 765:
2 x 765 = <<2*765=1530>>1530
Record the product of multiplying by the tens digit as 1530.
Step 4: Move to the leftmost digit, which is the hundreds digit in 222.
Multiply the hundreds digit 2 by 765:
2 x 765 = <<2*765=1530>>1530
Record the product of multiplying by the hundreds digit as 1530.
Step 5: Add up the products obtained in steps 2 to 4.
1530 + 1530 + 1530 = <<1530+1530+1530=4590>>4590
Record the final product as 4590.
Therefore, the product of multiplying 765 by 222 using the standard algorithm is 4590.
To summarize:
- The product of multiplying by the ones digit of 222 is 1530.
- The product of multiplying by the tens digit of 222 is 1530.
- The product of multiplying by the hundreds digit of 222 is 1530.
- The final product is 4590.