If p=-0.12, q=-0.01 and r= -0.015, then the correct relationship among the three is :

Options

A. `q gt p gt r`
B. `p gt r gt p`
C. `p gt q gt r`
D. `p lt r lt q`

Answer

To solve the problem, we need to compare the values of p, q, and r, which are given as:

- p = -0.12
- q = -0.01
- r = -0.015

### Step 1: Understand the values
We first note the values of p, q, and r:
- p = -0.12
- q = -0.01
- r = -0.015

### Step 2: Convert to positive for comparison
To compare these negative numbers, we can convert them to their positive counterparts:
- The magnitude of p is 0.12
- The magnitude of q is 0.01
- The magnitude of r is 0.015

### Step 3: Compare the magnitudes
Now we compare the magnitudes:
- 0.12 (p) is greater than 0.015 (r), which is greater than 0.01 (q).
- In terms of ordering: 0.12 > 0.015 > 0.01.

### Step 4: Reverse the order for negative numbers
Since we are dealing with negative numbers, the order will reverse:
- Thus, we have: p < r < q.

### Conclusion
The correct relationship among p, q, and r is:
- p < r < q.

### Final Answer
The correct relationship is: p < r < q.