How many numbers are there from 100 to 300 ?

Options

A. 200
B. 201
C. 199
D. none of these

Answer

To find how many numbers are there from 100 to 300, we can follow these steps:

### Step 1: Identify the range
The range of numbers we are considering is from 100 to 300, inclusive. This means both 100 and 300 are included in our count.

### Step 2: Determine the first and last numbers
The first number in our range is 100, and the last number is 300.

### Step 3: Use the formula for counting numbers in a range
To find the total count of numbers from a starting number \( a \) to an ending number \( b \), we can use the formula:
\[ \text{Total Numbers} = b - a + 1 \]
Where:
- \( a \) is the first number (100)
- \( b \) is the last number (300)

### Step 4: Substitute the values into the formula
Substituting \( a = 100 \) and \( b = 300 \) into the formula gives:
\[ \text{Total Numbers} = 300 - 100 + 1 \]

### Step 5: Calculate the result
Now, we perform the calculation:
\[ \text{Total Numbers} = 300 - 100 + 1 = 200 + 1 = 201 \]

### Conclusion
Thus, the total number of numbers from 100 to 300 is **201**.

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