# Translate into scientific notation?

• KraYzie
In summary, the conversation discusses how to express a charge of +45 uC in scientific notation. It is explained that the u in uC represents micro, which means it is 1 millionth of a Coulomb. Therefore, 3 uC is equal to 3.0 x 10^-6 Coulombs. For double figures, it can be written as 45 x 10^-6 or in standard notation as 4.5 x 10^-5. The purpose of using scientific notation is to make writing and reading large or small numbers easier.
KraYzie
I pretty much know how to solve this problem, but I have a simple question.

The question asks a charge of +45 uC (u is coefficient of friction and C is Columb). Now what would that translate into scientific notation?

Because I know 3 uC equals 3.0 x 10^-6, but what about double figures? Thanks

Well you could write it as 45 x 10-6. standard notation would be 4.5 x 10-5. The mu in the units has nothing to do with the coefficient of friction. It denotes micro which means 1 x 10-6 times the units. In your question for example the units are microcoulombs which are 1 millionth of a coulomb. A micrometer is 1 millionth of a meter.

why does 3uC equal 3 x 10^-6?

Like I've said the u (mu) that joins onto the units means that they are a millionth of a Coulomb. So in SI units 3uC are 3x10-6 Coulomb's. It makes it easier to write down small and large numbers because you don't have to add the x10 stuff.

## 1. What is scientific notation?

Scientific notation is a way to express numbers that are very large or very small in a more compact form. It is written as a number between 1 and 10 multiplied by a power of 10.

## 2. Why is scientific notation used?

Scientific notation is used to make very large or very small numbers easier to work with. It also allows for more accurate calculations and comparisons between numbers with different magnitudes.

## 3. How do you convert a number into scientific notation?

To convert a number into scientific notation, move the decimal point to the right or left until there is only one non-zero digit to the left of the decimal point. Then, count the number of places the decimal point was moved. This number becomes the exponent of 10 in the scientific notation.

## 4. Can you provide an example of converting a number into scientific notation?

Sure, let's take the number 450,000. Moving the decimal point to the left gives us 4.5, and we moved the decimal point 5 places. Therefore, 450,000 becomes 4.5 x 10^5 in scientific notation.

## 5. Is there any special rule for negative exponents in scientific notation?

Yes, negative exponents in scientific notation indicate numbers that are very small. For example, 0.000045 can be written as 4.5 x 10^-5 in scientific notation.

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