Question

Using an electron microscope, Jane measured a rod-shaped bacterium and found it to be 0.00000345 meters in length. List the steps she should take to represent this number in scientific notation.

Answer 1

1. Identify the position of the decimal point in the number

2. Determine where to move the decimal to the first non-zero number from the left (which is less than 10 definitely)

3. Write down the non-zero number (denoted by C) and then count the decimal places moves from the original decimal position to the final decimal position.

4. The number of decimal places moved (denoted by n) will be the exponent of base 10

5. Therefore the scientific notation will look like : C * 10^n

6. Note that n can be negative or positive (In this case, it is negative because the decimal is moved towards the right)

Following these steps, scientific notation in our case becomes 3.45 * 10^6

Answer 2

Answer:

1. Identify the position of the decimal point in the number

2. Determine where to move the decimal to the first non-zero number from the left (which is less than 10 definitely)

3. Write down the non-zero number (denoted by C) and then count the decimal places moves from the original decimal position to the final decimal position.

4. The number of decimal places moved (denoted by n) will be the exponent of base 10

5. Therefore the scientific notation will look like : C * 10^n

6. Note that n can be negative or positive (In this case, it is negative because the decimal is moved towards the right)

Explanation: