What are the partial products of 3,745 and 83?

A.
112,350 and 299,600
B.
11,235 and 29,960
C.
7,490 and 303,345
D.
11,235 and 299,600

1 answer

To find the partial products of 3,745 and 83, we'll break down the multiplication as follows:

  1. Break 83 into parts: \( 80 + 3 \).

  2. Multiply 3,745 by each part:

    • \( 3,745 \times 80 \): \[ 3,745 \times 80 = 3,745 \times 8 \times 10 = 29,960 \times 10 = 299,600 \]

    • \( 3,745 \times 3 \): \[ 3,745 \times 3 = 11,235 \]

So the partial products are:

  • \( 3,745 \times 80 = 299,600 \)
  • \( 3,745 \times 3 = 11,235 \)

Thus, the correct answer based on the computed partial products is:

B. 11,235 and 299,600.