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 . what is the correct awnser
To find the product of 765 and 222 using the standard algorithm, we multiply each digit of 222 by 765 and add up the products:
765
x 222
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1530 (765 multiplied by 2)
+ 0 (765 multiplied by 2, with a shift to the left)
+ 1530 (765 multiplied by 2, with a shift to the left)
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169230
Therefore, the products of each multiplying through by each place value in 222 are:
- The product of multiplying by the ones digit (2) is 1530.
- The product of multiplying by the tens digit (2 with a shift to the left) is 0.
- The product of multiplying by the hundreds digit (2 with two shifts to the left) is 1530.
- The final product is 169230.
To find the product of 765 and 222 using the standard algorithm, we multiply each digit of 222 by each digit of 765 and then add up the partial products. Here's how it works:
First, we multiply 222 by the ones digit of 765:
2 * 765 = 1530. So, the product of multiplying by the ones digit is 1530.
Next, we multiply 222 by the tens digit of 765:
2 * 7650 = 15300. So, the product of multiplying by the tens digit is 15300.
Finally, we multiply 222 by the hundreds digit of 765:
2 * 76500 = 153000. So, the product of multiplying by the hundreds digit is 153000.
Now, we add up the partial products:
1530 + 15300 + 153000 = 169830.
Therefore, the final product of 765 and 222 using the standard algorithm is 169830.
To find the product of 765 and 222 using the standard algorithm, follow these steps:
1. Start by multiplying the ones digit (5) of 765 by each digit in 222:
- 5 multiplied by 2 equals 10. Write down the 0 and carry over the 1.
- 5 multiplied by 2 equals 10, plus the carried over 1 equals 11. Write down the 1 and carry over the 1.
- 5 multiplied by 2 equals 10, plus the carried over 1 equals 11. Write down the 1 and carry over the 1.
Record the product of multiplying by the ones digit as 011.
2. Next, multiply the tens digit (6) of 765 by each digit in 222:
- 6 multiplied by 2 equals 12. Write down the 2 and carry over the 1.
- 6 multiplied by 2 equals 12, plus the carried over 1 equals 13. Write down the 3 and carry over the 1.
- 6 multiplied by 2 equals 12, plus the carried over 1 equals 13. Write down the 3 and carry over the 1.
Record the product of multiplying by the tens digit as 233.
3. Finally, multiply the hundreds digit (7) of 765 by each digit in 222:
- 7 multiplied by 2 equals 14. Write down the 4 and carry over the 1.
- 7 multiplied by 2 equals 14, plus the carried over 1 equals 15. Write down the 5 and carry over the 1.
- 7 multiplied by 2 equals 14, plus the carried over 1 equals 15. Write down the 5 and carry over the 1.
Record the product of multiplying by the hundreds digit as 545.
4. Add up the three products:
- 011
- 233
- 545
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The sum is 789.
Therefore, the product of 765 and 222 is 789.