Question

The lesson includes a greatest common divisor program, but then shows you that Python includes a math module with a function that will do this. What is the module and how is it added to your code?(1 point)
Responses

Fractions module; On line 1, import it with the following:

import fractions

Fractions module; On line 1, import it with the following: import fractions

GCD module; On line 1, import it with the following:

import gcd

GCD module; On line 1, import it with the following: import gcd

Math module; No need to import, it is automatically included with Python
Math module; No need to import, it is automatically included with Python

Math module; On line 1, import it with the following:

import math

Math module; On line 1, import it with the following: import math
Question 2
What would the output be for the following program?

import math
num1 = 64
num2 = math.sqrt(num1) // (88 % 7 - 1)
print(num2)

(1 point)
Responses

2.0
2.0

0.75
0.75

8
8

2
2

Answer 1

### Question 1:
The correct response is:
**Math module; On line 1, import it with the following: import math**

### Question 2:
To determine the output for the given program:

```python
import math
num1 = 64
num2 = math.sqrt(num1) // (88 % 7 - 1)
print(num2)
```

1. Calculate `math.sqrt(num1)`:
- `math.sqrt(64)` is `8.0`.

2. Calculate `88 % 7`:
- `88 % 7` is `4` (since 88 divided by 7 gives a remainder of 4).

3. Now calculate `(88 % 7 - 1)`:
- `4 - 1` is `3`.

4. Now substitute these values into the expression for `num2`:
- `num2 = 8.0 // 3`.

5. The `//` operator performs floor division:
- `8.0 // 3` is `2.0`.

Thus, the output of the program is **`2.0`**.

### Final Answers:
- **Question 1:** Math module; On line 1, import it with the following: import math
- **Question 2:** 2.0