Converting 8.2 x 10^19 pm to miles | Practice with Conversions Homework

  • Thread starter cwalker8184
  • Start date
In summary, the question asks for a conversion from 8.2 x 10^19 picometers to miles and includes an additional conversion of 1.5 feet to inches. The solution involves multiplying 8.2 x 10^19 by 10^-12 and then dividing by 1609, resulting in 5.4 x 10^9 miles. However, the question is not entirely clear and additional information is needed regarding the unit "pm."
  • #1
cwalker8184
7
0

Homework Statement


Convert 8.2 x 10 to the 19 power pm to miles



Homework Equations


Convert 1.5 ft to inches



The Attempt at a Solution


I multiplied 8.2 x 10 to the 19 power times 10 to the negative 12 power and then divided it by 1609 and got 5.4 x 10 to the ninth power
 
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  • #2
Your question isn't very clear to me
 
  • #3
cwalker8184 said:

Homework Statement


Convert 8.2 x 10 to the 19 power pm to miles



Homework Equations


Convert 1.5 ft to inches



The Attempt at a Solution


I multiplied 8.2 x 10 to the 19 power times 10 to the negative 12 power and then divided it by 1609 and got 5.4 x 10 to the ninth power

rh23 said:
Your question isn't very clear to me

Not clear to me either. What's a "pm"? Some distance measurement?

Also, if you click the Sigma symbol in the Advanced Reply menu, you can put your equations into LaTeX to make them clearer. Like:

[tex]D = 8.2 * 10^{19}[/tex]
 
  • #4
berkeman said:
Not clear to me either. What's a "pm"? Some distance measurement?

I believe that "pm" would stand for "picometers". The op can correct me if I am wrong.
 
  • #5
miles.


I would like to provide a more detailed explanation of the conversion process. Firstly, let's define the units being converted: 8.2 x 10^19 pm is equivalent to 8.2 x 10^16 meters (since 1 pm = 10^-12 meters) and 1 mile = 1609.34 meters.

To convert from meters to miles, we need to divide the given value in meters by the conversion factor of 1609.34 meters per mile. So, the conversion can be written as follows:

8.2 x 10^16 meters / (1609.34 meters/mile)

= 8.2 x 10^16 meters x (1 mile/1609.34 meters)

= 8.2 x 10^16 / 1609.34 miles

= 5.097 x 10^10 miles

Therefore, 8.2 x 10^19 pm is equivalent to 5.097 x 10^10 miles.

Additionally, to convert 1.5 ft to inches, we can use the conversion factor of 12 inches per foot. So, the conversion can be written as:

1.5 ft x (12 inches/1 ft)

= 18 inches

Therefore, 1.5 ft is equivalent to 18 inches.

Overall, when converting between units, it is important to identify the conversion factor and use it appropriately in the conversion process. It is also helpful to keep track of units and make sure they cancel out to give the desired unit in the final answer.
 

1. What is the conversion factor for converting pm to miles?

The conversion factor for converting pm (picometers) to miles is 1.0 x 10^-12, which means that 1 pm is equal to 1.0 x 10^-12 miles.

2. How do you convert 8.2 x 10^19 pm to miles?

To convert 8.2 x 10^19 pm to miles, you can use the conversion factor of 1.0 x 10^-12. Simply multiply 8.2 x 10^19 by 1.0 x 10^-12 to get the equivalent value in miles, which is 8.2 x 10^7 miles.

3. What is the simplest way to express 8.2 x 10^19 pm in miles?

The simplest way to express 8.2 x 10^19 pm in miles is to use scientific notation, which is 8.2 x 10^7 miles.

4. Can you convert other units to miles using the same conversion factor?

Yes, you can use the same conversion factor of 1.0 x 10^-12 to convert other units to miles. For example, if you want to convert nanometers (nm) to miles, you would multiply the value in nanometers by 1.0 x 10^-12 to get the equivalent value in miles.

5. Why do we use scientific notation when converting units?

We use scientific notation when converting units because it makes it easier to work with very large or very small numbers. It also allows us to express the values in a concise and standardized format, making it easier to compare and understand the magnitude of different quantities.

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