If the temperature dropped by *64F. The temperature dropped 7*F and then rose 11*F. How much does the temperature need to rise or fall to return to the initial temperature of 64*F?

If the temperature dropped 7*F and then rose 11*F, the net change in temperature is 11*F - 7*F = 4*F.

To return to the initial temperature of 64*F, the temperature needs to rise by 64*F + 4*F = <<64+4=68>>68*F. Answer: \boxed{68}.

To find out how much the temperature needs to rise or fall to return to the initial temperature of 64°F, we can follow these steps:

1. Start with the initial temperature of 64°F.
2. The temperature then dropped by 7°F, so subtract 7 from 64 to get 64 - 7 = 57°F.
3. The temperature then rose by 11°F, so add 11 to 57 to get 57 + 11 = 68°F.
4. The temperature is now 68°F, which means it has increased by 4°F compared to the initial temperature of 64°F.

Therefore, the temperature needs to rise by 4°F to return to the initial temperature of 64°F.

To find out how much the temperature needs to rise or fall to return to the initial temperature of 64°F, we need to consider the net change in temperature.

Given:
- The temperature initially dropped by 64°F.
- Then, it dropped 7°F further.
- Finally, it rose by 11°F.

Let's calculate the net change in temperature step by step:

1. The initial drop of 64°F signifies a decrease in temperature.
2. Next, the temperature dropped an additional 7°F, which is another decrease.
3. Finally, the temperature rose by 11°F, indicating an increase in temperature.

To calculate the net change, we need to add up all these changes, taking into account the direction (increase or decrease):

Initial decrease: -64°F
Additional decrease: -7°F
Increase: +11°F

Net change = (-64°F) + (-7°F) + (+11°F)

Now, let's perform the calculations:

Net change = -64°F - 7°F + 11°F
= -56°F

The net change in temperature is a decrease of 56°F.

To return to the initial temperature of 64°F, the temperature needs to rise by the magnitude of the net change, which is 56°F.