What is the order of magnitude of the number 8245 ?

Options

A. 3
B. 4
C. 2
D. 5

Explanation

To find the order of magnitude of the number 8245, we can follow these steps:

### Step 1: Identify the Number
The number we are working with is 8245.

### Step 2: Convert to Scientific Notation
To express 8245 in scientific notation, we need to write it in the form of \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.

- We can write 8245 as \( 8.245 \times 10^3 \).
- This is because we moved the decimal point 3 places to the left.

### Step 3: Determine the Exponent
The exponent \( n \) in our scientific notation \( 8.245 \times 10^3 \) is 3.

### Step 4: Adjust for the Order of Magnitude
The order of magnitude is generally taken as the exponent \( n \). However, if the first digit (which is 8 in this case) is greater than or equal to 5, we round up the exponent by 1.

- Since 8 is greater than 5, we add 1 to the exponent.
- Therefore, \( 3 + 1 = 4 \).

### Conclusion
The order of magnitude of the number 8245 is 4.

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