Question

1. write each number in standard notation. 7.8 x 10^9
2. write each number in standard notation. 5.24 x 10^-3
3. write each number in standard notation. 9.331 x 10^5
4. write each number in standard notation. 4.6 x 10^-7
5. in 2018, the population of the united states was 3.272 x 10^8. write this number in standard notation.
6. the volume of a drop of water is 5 x 10^-5 l. write this volume in standard notation.

Explanation:

Step1: Recall standard - form rule

A number in standard form is written as \(a\times10^{n}\), where \(1\leqslant|a|\lt10\) and \(n\) is an integer.

Step2: Solve for 7

For \(7.8\times10^{9}\), it is already in standard form.

Step3: Solve for 8

For \(5.24\times10^{- 3}\), it is already in standard form.

Step4: Solve for 9

For \(9.331\times10^{5}\), it is already in standard form.

Step5: Solve for 10

For \(4.6\times10^{-2}\), it is already in standard form.

Step6: Solve for 11

For the population \(3.272\times10^{9}\), it is already in standard form.

Step7: Solve for 12

For the volume \(5\times10^{-5}\text{ L}\), it is already in standard form.

Answer:

1. \(7.8\times10^{9}\) is in standard form.
2. \(5.24\times10^{-3}\) is in standard form.
3. \(9.331\times10^{5}\) is in standard form.
4. \(4.6\times10^{-2}\) is in standard form.
5. The population \(3.272\times10^{9}\) is in standard form.
6. The volume \(5\times10^{-5}\text{ L}\) is in standard form.