Give the order of the following :
1

Answer

To determine the order of magnitude for the given numbers, we will follow a systematic approach. The order of magnitude is a way to express the size of a number in terms of powers of ten. Here’s how to do it step by step:

### Step-by-Step Solution:

1. **Identify the Number**: Start with the number you want to analyze. For example, let's say we have the number 1.

2. **Express in Scientific Notation**: Convert the number into scientific notation. Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of ten.
- For the number 1, we can write it as:
\[ 1 = 1 \times 10^0 \]

3. **Determine the Power of Ten**: In the scientific notation \(1 \times 10^0\), the exponent (0) indicates the order of magnitude.
- Therefore, the order of magnitude for the number 1 is:
\[ \text{Order of Magnitude} = 0 \]

4. **Repeat for Other Numbers**: If you have other numbers, repeat the above steps. For example:
- For the number 1000:
\[ 1000 = 1 \times 10^3 \quad \Rightarrow \quad \text{Order of Magnitude} = 3 \]
- For the number 499:
\[ 499 = 4.99 \times 10^2 \quad \Rightarrow \quad \text{Order of Magnitude} = 2 \]
- For the number 500:
\[ 500 = 5.0 \times 10^2 \quad \Rightarrow \quad \text{Order of Magnitude} = 3 \quad (\text{since it is exactly 500, we consider it as } 3) \]
- For the number 501:
\[ 501 = 5.01 \times 10^2 \quad \Rightarrow \quad \text{Order of Magnitude} = 3 \]

5. **Consider Special Cases**: If the number is less than 1, for example:
- For \(1.60 \times 10^{-19}\):
\[ \text{Order of Magnitude} = -19 \]
- For \(5.29 \times 10^{-11}\):
\[ \text{Order of Magnitude} = -10 \]

6. **Final Orders**: Collect all the orders of magnitude for the numbers you analyzed.

### Summary of Orders of Magnitude:
- For 1: Order = 0
- For 1000: Order = 3
- For 499: Order = 2
- For 500: Order = 3
- For 501: Order = 3
- For \(1.60 \times 10^{-19}\): Order = -19
- For \(5.29 \times 10^{-11}\): Order = -10