4. It's $$ 6: 35 $$ a.m. What time was it 3 hours and 45 minutes ago? Create an open number line to calculate the elapsed time.

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To find out what time it was 3 hours and 45 minutes ago from $$ 6:35 $$ a.m., we can break down the problem into two parts: subtracting the hours and then subtracting the minutes.

### Step 1: Subtract the hours
Starting with $$ 6:35 $$ a.m., we subtract $$ 3 $$ hours:

$$
6:35 \text{ a.m.} - 3 \text{ hours} = 3:35 \text{ a.m.}
$$

### Step 2: Subtract the minutes
Next, we need to subtract $$ 45 $$ minutes from $$ 3:35 $$ a.m.

Since $$ 35 $$ minutes is greater than $$ 45 $$ minutes, we need to borrow $$ 1 $$ hour (which is $$ 60 $$ minutes) from $$ 3:00 $$ a.m. This means we will have:

$$
3:35 \text{ a.m.} - 1 \text{ hour} = 2:35 \text{ a.m.}
$$

Now we add $$ 60 $$ minutes to $$ 35 $$ minutes:

$$
60 + 35 = 95 \text{ minutes}
$$

Now we subtract $$ 45 $$ minutes from $$ 95 $$ minutes:

$$
95 - 45 = 50 \text{ minutes}
$$

So, we have:

$$
2:35 \text{ a.m.} - 0 \text{ minutes} = 2:50 \text{ a.m.}
$$

### Final Answer
Thus, the time $$ 3 $$ hours and $$ 45 $$ minutes ago from $$ 6:35 $$ a.m. was $$ 2:50 $$ a.m.

### Open Number Line
To visualize this on an open number line:

- Start at $$ 6:35 $$ a.m.
- Move back $$ 3 $$ hours to $$ 3:35 $$ a.m.
- Then move back $$ 45 $$ minutes to $$ 2:50 $$ a.m.

This gives a clear representation of the elapsed time.
The time 3 hours and 45 minutes ago from 6:35 a.m. was 2:50 a.m.

4. It's \( 6: 35 \) a.m. What time was it 3 hours and 45 minutes ago? Create an open number line to calculate the elapsed time.

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