Simplified Notation: 2.45/2.5x10^17m^-2 - How to Express Correctly

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In summary, simplified notation is a way of expressing numbers in a concise and understandable format by using scientific notation and incorporating units of measurement. It is essential to express numbers correctly in science to ensure accuracy and comparability. To convert a number into simplified notation, you need to determine the appropriate power of 10 and include the correct units. Common mistakes to avoid when using simplified notation include forgetting units, using the wrong power of 10, and using incorrect exponents. Consistency in units and notation is also crucial in scientific communication.
  • #1
you_of_eh
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I am having a bit of trouble expressing me answer in the correct simplified form.

The answer is... 2.45/2.5x10^17m^-2 (m is meters)

-what is the correct form to express this answer?
 
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  • #2
you_of_eh said:
I am having a bit of trouble expressing me answer in the correct simplified form.

The answer is... 2.45/2.5x10^17m^-2 (m is meters)

-what is the correct form to express this answer?

What is your original problem? What unit did you start with? Your unit seems a little odd.
 
  • #3


The correct form to express this answer is 9.8x10^-18 m^-1. This can be simplified by dividing 2.45 by 2.5, resulting in 0.98. Then, we can move the exponent of 10^17 to the denominator by changing it to 10^-17, and the exponent of m^-2 to the numerator by changing it to m^-1. Therefore, the simplified form is 0.98x10^-17 m^-1, which can be further simplified to 9.8x10^-18 m^-1.
 

What is simplified notation?

Simplified notation is a way of expressing numbers in a more compact and easy-to-understand format. It involves using scientific notation, where a number is written as a decimal multiplied by a power of 10, and also incorporating units of measurement.

What does 2.45/2.5x10^17m^-2 mean?

This expression represents a numerical value and its corresponding unit of measurement. The number 2.45 is divided by 2.5, and the resulting value is multiplied by 10 raised to the power of 17. The unit of measurement is meters squared, with a negative exponent indicating that it is in the denominator of the fraction.

Why is it important to express numbers correctly?

Expressing numbers correctly is crucial in science because it ensures accuracy and consistency in measurements and calculations. It also allows for easy comparison and communication of results among scientists.

How do you convert a number into simplified notation?

To convert a number into simplified notation, you need to determine the appropriate power of 10 that will make the number easier to read and understand. This power of 10 will depend on the size of the number and the units of measurement involved. Once you have determined the power of 10, you can write the number as a decimal multiplied by 10 to the power of that value, followed by the appropriate unit of measurement.

What are the common mistakes to avoid when using simplified notation?

The most common mistakes to avoid when using simplified notation include forgetting to include units of measurement, using the wrong power of 10, and using incorrect exponents. It is also essential to be consistent with units and notation throughout a scientific report or presentation.

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