Express the number appearing in the following statements in standard form: `1\ m i c ron\ i s\ e q u a l\ to1/(1000000)\ m e t r e`. Charge of an electron is `0. 0000000000000000016\ ` coloumbs. `S i z e\ ` of a bacteria is 0.0000005 metre. `S i z e` of a plant cell is 0.00001275 metre. Thickness of a normal paper is 0.07 mm.

Explanation

To express the given numbers in standard form, we will follow a systematic approach for each number. The standard form is expressed as \( A \times 10^B \), where \( A \) is a number between 1 and 10, and \( B \) is an integer.

### Step-by-Step Solutions:

1. **Micron:**
- Given: \( 1 \text{ micron} = \frac{1}{1000000} \text{ metre} \)
- Write \( 1000000 \) in exponential form: \( 1000000 = 10^6 \)
- Therefore, \( 1 \text{ micron} = 1 \times 10^{-6} \text{ metre} \)
- **Standard Form:** \( 1 \times 10^{-6} \)

2. **Charge of an Electron:**
- Given: \( 0.0000000000000000016 \text{ coulombs} \)
- Remove the decimal: \( 1.6 \)
- Count the digits after the decimal point: There are 19 digits.
- Write in exponential form: \( 1.6 \times 10^{-19} \)
- **Standard Form:** \( 1.6 \times 10^{-19} \)

3. **Size of a Bacteria:**
- Given: \( 0.0000005 \text{ metre} \)
- Remove the decimal: \( 5 \)
- Count the digits after the decimal point: There are 7 digits.
- Write in exponential form: \( 5 \times 10^{-7} \)
- **Standard Form:** \( 5 \times 10^{-7} \)

4. **Size of a Plant Cell:**
- Given: \( 0.00001275 \text{ metre} \)
- Remove the decimal: \( 1275 \)
- Count the digits after the decimal point: There are 5 digits.
- Write in exponential form: \( 1275 \times 10^{-5} \)
- Since \( 1275 \) is greater than 10, we convert it:
- \( 1275 = 1.275 \times 10^3 \)
- Combine: \( 1.275 \times 10^3 \times 10^{-5} = 1.275 \times 10^{-2} \)
- **Standard Form:** \( 1.275 \times 10^{-2} \)

5. **Thickness of Normal Paper:**
- Given: \( 0.07 \text{ mm} \)
- Remove the decimal: \( 7 \)
- Write in exponential form: \( 7 \times 10^{-2} \)
- **Standard Form:** \( 7 \times 10^{-2} \)

### Summary of Standard Forms:
1. Micron: \( 1 \times 10^{-6} \)
2. Charge of an Electron: \( 1.6 \times 10^{-19} \)
3. Size of a Bacteria: \( 5 \times 10^{-7} \)
4. Size of a Plant Cell: \( 1.275 \times 10^{-2} \)
5. Thickness of Normal Paper: \( 7 \times 10^{-2} \)