1. Write 0.0000006709 in scientific notation

Question

2. Write 9,085,000,000,000 in scientific notation
3. Write 2.09 x 10^5 in decimal notation.
4. What does 1.988 on a calculator look like on your paper in scientific notation?
5. An area that is 3.2 square miles will be divided into 1.6 x 1013 lots. How big will each lot be in scientific notation?

Answer 1

1. 0.0000006709 in scientific notation:
   \( 6.709 \times 10^{-7} \)

2. 9,085,000,000,000 in scientific notation:
   \( 9.085 \times 10^{12} \)

3. 2.09 x 10^5 in decimal notation:
   \( 209,000 \)

4. 1.988 in scientific notation:
   \( 1.988 \times 10^{0} \) (since \(10^0 = 1\), it remains as 1.988)

5. Finding the size of each lot given an area of 3.2 square miles divided into \( 1.6 \times 10^{13} \) lots:
   First, we need to divide the total area by the number of lots:
   \[ \text{Size of each lot} = \frac{3.2 \text{ square miles}}{1.6 \times 10^{13}} \]
   This can be simplified as follows:
   \[ 3.2 = 3.2 \times 10^0 \Rightarrow \frac{3.2 \times 10^0}{1.6 \times 10^{13}} = \left(\frac{3.2}{1.6}\right) \times 10^{(0 - 13)} = 2.0 \times 10^{-13} \]

   Therefore, the size of each lot in scientific notation is:
   \( 2.0 \times 10^{-13} \) square miles.