The order of magnitude of `499 is 2`, then the order of magnitude of `501` will be

Options

A. `1`
B. `2`
C. `1`
D. `3`

Explanation

To find the order of magnitude of the number 501, we can follow these steps:

### Step 1: Understand the concept of order of magnitude
The order of magnitude of a number is the power of 10 when the number is expressed in scientific notation. It indicates the scale or size of the number.

### Step 2: Express 501 in scientific notation
To express 501 in scientific notation, we can write it as:
\[ 501 = 5.01 \times 10^2 \]

### Step 3: Identify the exponent
In the scientific notation \( 5.01 \times 10^2 \), the exponent is 2. This indicates that 501 is in the range of \( 10^2 \) (which is 100) and \( 10^3 \) (which is 1000).

### Step 4: Determine the order of magnitude
The order of magnitude is determined by the exponent of 10. Since the exponent is 2, the order of magnitude of 501 is:
\[ \text{Order of magnitude} = 2 \]

### Step 5: Consider the rounding
However, since 501 is closer to 1000 than it is to 100, we should consider that the order of magnitude is typically rounded up when the number is halfway or more to the next power of ten. Therefore, since 501 is greater than 500, we round up to:
\[ \text{Order of magnitude} = 3 \]

### Final Answer
Thus, the order of magnitude of 501 is **3**.

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