Scientific notation is a way to represent very large or very small numbers using a standard form. This form consists of a number between 1 and 10 (the coefficient) and a power of 10 (the exponent). In this article, we will look at the number 5.280 and understand how to express it in scientific notation.

## Expressing 5.280 in Scientific Notation

To express 5.280 in scientific notation, we must first move the decimal point until the number is between 1 and 10. In this case, we move the decimal point three places to the left. This gives us the coefficient of 5.28. We then count the number of places we moved the decimal point and use this as the exponent. Since we moved the decimal point three places to the left, the exponent is 3. Therefore, 5.280 in scientific notation is 5.28 x 103.

## What Does the Exponent Represent?

The exponent in scientific notation represents the number of times the coefficient must be multiplied by 10. In this example, the coefficient is 5.28 and the exponent is 3. This means that 5.28 must be multiplied by 10 three times. This gives us 5.28 x 103 which is equal to 5,280.

## Using Scientific Notation to Simplify Calculations

Scientific notation can be used to simplify calculations. For example, if we wanted to multiply 5.280 by 4.7 we can express both numbers in scientific notation and simplify the calculation. 5.280 in scientific notation is 5.28 x 103 and 4.7 in scientific notation is 4.7 x 100. This gives us (5.28 x 103) x (4.7 x 100) which simplifies to (5.28 x 4.7) x 103 x 100. This simplifies further to (24.896) x 103 x 100, which is equal to 2,489,600.

## Examples of Other Numbers in Scientific Notation

Here are some other examples of numbers expressed in scientific notation. 0.0056 is expressed as 5.6 x 10-3. 0.0000064 is expressed as 6.4 x 10-6. 9,000 is expressed as 9 x 103. 0.00023 is expressed as 2.3 x 10-4.

In conclusion, scientific notation is a way to represent very large or very small numbers using a standard form. In this article, we looked at the number 5.280 and understood how to express it in scientific notation. We also saw how to use scientific notation to simplify calculations and some examples of other numbers expressed in scientific notation. Hopefully, this article has been helpful in understanding scientific notation.

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