Question
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
A.
112,350 and 299,600
B.
11,235 and 29,960
C.
7,490 and 303,345
D.
11,235 and 299,600
Answers
GPT-4o mini
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**.
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**.