Let's go through the scientific notations for the given numbers.

For Part 1, we need to find the exponents in the scientific notations.

Part 1 - Fill in the value for the exponents

1. 0.00014 = $1.4 \times 10^{-4}$

   • The exponent is -4.

2. 0.0056 = $5.6 \times 10^{-3}$

   • The exponent is -3.

3. 0.00078 = $7.8 \times 10^{-4}$

   • The exponent is -4.

4. 0.0000005 = $5.0 \times 10^{-7}$

   • The exponent is -7.

5. 0.000000789 = $7.89 \times 10^{-7}$

   • The exponent is -7.

6. 0.000000081 = $8.1 \times 10^{-8}$

   • The exponent is -8.

For Part 2, we need to convert the given standard notation into scientific notation.

Part 2 - Write the scientific notation of the numbers below

1. 0.0013 = $1.3 \times 10^{-3}$

2. 0.00016 = $1.6 \times 10^{-4}$

Would you like further details on how I arrived at the scientific notations, or do you have any questions?

Here are 5 relative questions you could explore:

1. What is the general process for converting a decimal number into scientific notation?
2. How do you determine the exponent when converting to scientific notation?
3. What is the significance of negative exponents in scientific notation?
4. How do you convert a large number (greater than 1) into scientific notation?
5. Can you convert a number from scientific notation back into standard notation?

Tip:

When converting to scientific notation, always remember that moving the decimal point to the right decreases the exponent, while moving it to the left increases the exponent.