Answer :

To multiply 48 by 71 using partial products, you can break down each number into simpler components and then multiply the parts separately. Here's how you can do it:

1. Break down the numbers:
- Split 48 into 40 and 8.
- Split 71 into 70 and 1.

2. Calculate the partial products:
- Multiply 40 by 70: [tex]\(40 \times 70 = 2800\)[/tex]
- Multiply 40 by 1: [tex]\(40 \times 1 = 40\)[/tex]
- Multiply 8 by 70: [tex]\(8 \times 70 = 560\)[/tex]
- Multiply 8 by 1: [tex]\(8 \times 1 = 8\)[/tex]

3. Add the partial products:
- Add all the partials together: [tex]\(2800 + 40 + 560 + 8 = 3408\)[/tex]

So, the product of 48 and 71 is 3,408.