Find three rational numbers between 2.5 and 3-

Options

A. 2.65. 2.701001071 ....... 2.75
B. 2.8. 0. 2.75
C. 2.625. 2.75. 2.875
D. None of the above

Answer

To find three rational numbers between 2.5 and 3, we can follow these steps:

### Step 1: Identify the Range
We start with the two numbers:
- Lower limit: 2.5
- Upper limit: 3

### Step 2: Determine the Distance Between the Numbers
Calculate the distance between 2.5 and 3:
\[ 3 - 2.5 = 0.5 \]

### Step 3: Divide the Distance into Equal Segments
Since we need to find three rational numbers, we will divide the distance into four equal segments.
To find the length of each segment:
\[ \text{Segment length} = \frac{0.5}{4} = 0.125 \]

### Step 4: Calculate the Rational Numbers
Now, we can find the three rational numbers by adding the segment length to 2.5 and the previous numbers:

1. **First Rational Number (A1)**:
\[ A1 = 2.5 + 0.125 = 2.625 \]

2. **Second Rational Number (A2)**:
\[ A2 = A1 + 0.125 = 2.625 + 0.125 = 2.750 \]

3. **Third Rational Number (A3)**:
\[ A3 = A2 + 0.125 = 2.750 + 0.125 = 2.875 \]

### Step 5: List the Rational Numbers
The three rational numbers between 2.5 and 3 are:
- 2.625
- 2.750
- 2.875

### Final Answer
The three rational numbers between 2.5 and 3 are **2.625, 2.750, and 2.875**.

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