To solve the problem of how many screws can be packed in 1,685 cartons when each carton holds 6,895 screws, we will follow these steps:
### Step-by-Step Solution:
1. **Identify the Given Values:**
- Number of screws in one carton = 6,895
- Number of cartons = 1,685
2. **Set Up the Multiplication:**
- To find the total number of screws, we need to multiply the number of screws in one carton by the number of cartons.
- Total screws = Number of screws in one carton × Number of cartons
- Total screws = 6,895 × 1,685
3. **Perform the Multiplication:**
- We will multiply these two numbers step by step:
- First, multiply 6,895 by 5 (the units place of 1,685):
\[
6,895 \times 5 = 34,475
\]
- Next, multiply 6,895 by 80 (the tens place of 1,685):
\[
6,895 \times 80 = 551,600
\]
- Then, multiply 6,895 by 600 (the hundreds place of 1,685):
\[
6,895 \times 600 = 4,137,000
\]
- Finally, multiply 6,895 by 1,000 (the thousands place of 1,685):
\[
6,895 \times 1,000 = 6,895,000
\]
4. **Add the Results Together:**
- Now, we add all the results from the multiplication:
\[
34,475 + 551,600 + 4,137,000 + 6,895,000
\]
- Performing the addition step by step:
- First, add 34,475 and 551,600:
\[
34,475 + 551,600 = 586,075
\]
- Next, add 586,075 and 4,137,000:
\[
586,075 + 4,137,000 = 4,723,075
\]
- Finally, add 4,723,075 and 6,895,000:
\[
4,723,075 + 6,895,000 = 11,618,075
\]
5. **Final Result:**
- Therefore, the total number of screws that can be packed in 1,685 cartons is **11,618,075 screws**.
