Use the standard algorithm to find the product of 765 and 222 record the products of each multiplying through each place value in 222 as well as the final product
To find the product of 765 and 222 using the standard algorithm, follow these steps:
```
765
× 222
-------
```
Start by multiplying the units digit of 222 by 765:
```
765
× 222
-------
1530
```
Next, multiply the tens digit of 222 by 765 and shift one place to the left:
```
765
× 222
-------
1530
+ 1530
-------
169530
```
Finally, multiply the hundreds digit of 222 by 765 and shift two places to the left:
```
765
× 222
-------
1530
+ 1530
+ 1530
-------
169530
```
Thus, the product of 765 and 222 is 169,530.
To find the product of 765 and 222 using the standard algorithm, follow these steps:
Step 1: Write down the numbers vertically, with one number below the other:
765
× 222
_________
Step 2: Start multiplication from the ones place of the second number (222). Multiply it with each digit of the first number (765) and write the products below each digit, shifting each product one place to the left:
7 6 5 ---> First Number
× 2 2 2 ---> Second Number
__________
1 5 3 0 ---> (5 × 2 = 10, write 0 carry 1; 6 × 2 = 12, write 2 carry 1; 7 × 2 = 14, write 4 carry 1)
+ 1 5 3 0 ---> Shifted row
Step 3: Add up the partial products:
1 5 3 0 ---> Partial product
+ 1 5 3 0 ---> Partial product
______________
1 5 9 3 0 ---> Sum of partial products
Step 4: The final product is 159,330. Therefore, the products of multiplying through each place value in 222, as well as the final product, are as follows:
765
× 222
___________
1 5 3 0 ---> Partial product (ones place in 222)
+ 1 5 3 0 ---> Partial product (tens place in 222)
___________
1 5 9 3 0 ---> Sum of partial products
This means that 765 multiplied by 222 equals 159,330.
Sure! To find the product of 765 and 222 using the standard algorithm, we will multiply each digit of 765 by each digit of 222, starting from the right and moving to the left.
First, let's write down the calculation like this:
765
× 222
_______
To start, we multiply 765 by 2, which gives us:
765
× 222
_______
1530
Next, we multiply 765 by 20. To do this, we shift the product one place to the left:
765
× 222
_______
1530
15300
After that, we multiply 765 by 200:
765
× 222
_______
1530
15300
153000
Finally, we add up the products:
765
× 222
_______
1530
15300
+ 153000
________
169530
Therefore, the product of 765 and 222 is 169,530.