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 can break it down as follows:
765
× 222
_______
1530 (765 multiplied by 2, the ones digit of 222)
+ 15300 (765 multiplied by 2, the tens digit of 222 with a zero added at the end)
+ 153000 (765 multiplied by 2, the hundreds digit of 222 with two zeros added at the end)
_______
169230
Therefore,
- The product of multiplying by the ones digit is 1530.
- The product of multiplying by the tens digit is 15300.
- The product of multiplying by the hundreds digit is 153000.
- The final product is 169230.
To find the product of 765 and 222 using the standard algorithm, we'll multiply each digit of 222 by each digit of 765. Let's go step by step:
First, we'll multiply 222 by the ones digit of 765, which is 5:
5 multiplied by 222 is 1110. So, the product of multiplying by the ones digit is 1110.
Next, we'll multiply 222 by the tens digit of 765, which is 6:
6 multiplied by 222 is 1332. So, the product of multiplying by the tens digit is 1332.
Finally, we'll multiply 222 by the hundreds digit of 765, which is 7:
7 multiplied by 222 is 1554. So, the product of multiplying by the hundreds digit is 1554.
Now, let's calculate the final product by adding all three products together:
1110 + 1332 + 1554 = 3996
Therefore, the final product of multiplying 765 by 222 is 3996.
To find the product of 765 and 222 using the standard algorithm, follow these steps:
Step 1: Multiply the ones digit of 222 (2) by each digit of 765, starting from the right:
2 x 5 = 10. Record the product 10.
Step 2: Multiply the tens digit of 222 (2) by each digit of 765, starting from the right, but shifting one place to the left every time:
2 x 6 = 12. Record the product 12.
2 x 6 = 12 again. Record the product 12.
Step 3: Multiply the hundreds digit of 222 (2) by each digit of 765, starting from the right, but shifting two places to the left every time:
2 x 7 = 14. Record the product 14.
2 x 7 = 14 again. Record the product 14.
2 x 7 = 14 again. Record the product 14.
Step 4: Add up all the products:
10 + 12 + 12 + 14 + 14 + 14 = 76.
Therefore, the final product of 765 and 222 is 76.