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 using the standard algorithm, we start by multiplying 765 by the ones digit of 222.
765 x 2 = 1530
Next, we multiply 765 by the tens digit of 222, which is 2.
765 x 20 = 15300
Lastly, we multiply 765 by the hundreds digit of 222, which is 2.
765 x 200 = 153000
Now, we add up all the products:
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:
765
x 222
______
Step 2: Multiply the ones digit of 222 (2) by each digit of 765, starting from the right:
765 x 2 = 1530
Step 3: Write the product of step 2 below the line, starting from the right:
765
x 222
______
1530
Step 4: Multiply the tens digit of 222 (2) by each digit of 765, but shift one place to the left:
765 x 20 = 15300
Step 5: Write the product of step 4 below the line, starting from the right:
765
x 222
______
15300
______
Step 6: Multiply the hundreds digit of 222 (2) by each digit of 765, but shift two places to the left:
765 x 200 = 153000
Step 7: Write the product of step 6 below the line, starting from the right:
765
x 222
______
15300
+153000
______
Step 8: Add the products from steps 3, 5, and 7 to get the final product:
1530
+15300
+153000
______
169830
Therefore, the product of 765 and 222 is 169,830.
The product of multiplying by the ones digit (2) is 1,530.
The product of multiplying by the tens digit (20) is 15,300.
The product of multiplying by the hundreds digit (200) is 153,000.
The final product is 169,830.
To find the product of 765 and 222 using the standard algorithm, follow these steps:
Step 1: Multiply each digit of 222 by each digit of 765:
- Multiply 2 (ones digit of 222) by 5 (ones digit of 765). The product is 10.
- Multiply 2 (ones digit of 222) by 6 (tens digit of 765). The product is 12.
- Multiply 2 (ones digit of 222) by 7 (hundreds digit of 765). The product is 14.
- Multiply 20 (tens digit of 222) by 5 (ones digit of 765). The product is 100.
- Multiply 20 (tens digit of 222) by 6 (tens digit of 765). The product is 120.
- Multiply 20 (tens digit of 222) by 7 (hundreds digit of 765). The product is 140.
- Multiply 200 (hundreds digit of 222) by 5 (ones digit of 765). The product is 1000.
- Multiply 200 (hundreds digit of 222) by 6 (tens digit of 765). The product is 1200.
- Multiply 200 (hundreds digit of 222) by 7 (hundreds digit of 765). The product is 1400.
Step 2: Add up all the products:
- Add all the individual products together: 10 + 12 + 14 + 100 + 120 + 140 + 1000 + 1200 + 1400.
- The sum of these products is the final product.
Therefore, the product of multiplying 765 and 222 using the standard algorithm is 369,930.
To summarize:
The product of multiplying by the ones digit (2) is 10 + 12 + 14 = 36.
The product of multiplying by the tens digit (20) is 100 + 120 + 140 = 360.
The product of multiplying by the hundreds digit (200) is 1000 + 1200 + 1400 = 3600.
The overall product is 36 + 360 + 3600 = 369,930.