Final answer:
To find the product of 721 multiplied by 8 using the partial products method, you calculate and sum the products of each place value multiplied by 8, resulting in a final answer of 5768.
Step-by-step explanation:
To multiply using partial products for the number 721 multiplied by 8, we break down 721 into hundreds, tens, and ones and then multiply each by 8. First, let's estimate the product: 720 is close to 721, and 720 multiplied by 8 is 5760, so our estimated product is 5760.
Partial Products Method
- Multiply the hundreds: 700 x 8 = 5600.
- Multiply the tens: 20 x 8 = 160.
- Multiply the ones: 1 x 8 = 8.
- Add the partial products: 5600 + 160 + 8 = 5768.
The final answer is 5768.