write the multiplication represented by the partial products. then write the product.
1. 800+280+60+21
2.600+40+180+12
3.2000+280+300+42
4.3600+300+300+25
5.2100+560+0+0
6.7200+270+320+12
To find the multiplication represented by the partial products in each equation, you need to break down the numbers and calculate the products separately. Let's go through each equation step-by-step.
1. 800 + 280 + 60 + 21:
- Multiply the first digit of each number: 8 * 2 * 6 * 2 * 7 = 672.
- Multiply the second digit of each number: 1 * 8 * 0 * 8 * 0 = 0.
- Multiply the third digit of each number: 1 * 0 * 0 * 0 * 0 = 0.
- Multiply the fourth digit of each number: 0 * 0 * 0 * 0 * 1 = 0.
- Add all the results together: 672 + 0 + 0 + 0 = 672.
Therefore, the multiplication represented by the partial products in this equation is 672.
2. 600 + 40 + 180 + 12:
- Multiply the first digit of each number: 6 * 4 * 1 * 1 * 7 = 168.
- Multiply the second digit of each number: 0 * 0 * 8 * 2 * 2 = 0.
- Multiply the third digit of each number: 0 * 0 * 0 * 8 * 3 = 0.
- Multiply the fourth digit of each number: 0 * 0 * 0 * 0 * 2 = 0.
- Add all the results together: 168 + 0 + 0 + 0 = 168.
Therefore, the multiplication represented by the partial products in this equation is 168.
3. 2000 + 280 + 300 + 42:
- Multiply the first digit of each number: 2 * 2 * 3 * 3 * 7 = 252.
- Multiply the second digit of each number: 0 * 8 * 0 * 0 * 0 = 0.
- Multiply the third digit of each number: 0 * 0 * 0 * 0 * 3 = 0.
- Multiply the fourth digit of each number: 0 * 0 * 0 * 0 * 4 = 0.
- Add all the results together: 252 + 0 + 0 + 0 = 252.
Therefore, the multiplication represented by the partial products in this equation is 252.
4. 3600 + 300 + 300 + 25:
- Multiply the first digit of each number: 3 * 3 * 3 * 2 * 2 = 108.
- Multiply the second digit of each number: 6 * 0 * 0 * 0 * 5 = 0.
- Multiply the third digit of each number: 0 * 0 * 0 * 0 * 0 = 0.
- Multiply the fourth digit of each number: 0 * 0 * 0 * 0 * 2 = 0.
- Add all the results together: 108 + 0 + 0 + 0 = 108.
Therefore, the multiplication represented by the partial products in this equation is 108.
5. 2100 + 560 + 0 + 0:
- Multiply the first digit of each number: 2 * 5 * 0 * 0 * 0 = 0.
- Multiply the second digit of each number: 1 * 6 * 0 * 0 * 0 = 0.
- Multiply the third digit of each number: 0 * 0 * 0 * 0 * 0 = 0.
- Multiply the fourth digit of each number: 0 * 0 * 0 * 0 * 0 = 0.
- Add all the results together: 0 + 0 + 0 + 0 = 0.
Therefore, the multiplication represented by the partial products in this equation is 0.
6. 7200 + 270 + 320 + 12:
- Multiply the first digit of each number: 7 * 2 * 3 * 1 * 7 = 294.
- Multiply the second digit of each number: 2 * 7 * 2 * 2 * 2 = 112.
- Multiply the third digit of each number: 0 * 0 * 0 * 0 * 0 = 0.
- Multiply the fourth digit of each number: 0 * 0 * 0 * 0 * 2 = 0.
- Add all the results together: 294 + 112 + 0 + 0 = 406.
Therefore, the multiplication represented by the partial products in this equation is 406.
Keep in mind that these calculations are done separately for each digit position within the numbers. The products for each digit position are then added together to give the final result.