Scientific notation is a convenient way of expressing very large or very small numbers. It allows us to write a number in terms of a coefficient (or mantissa) times a power of 10. For example, 476 in scientific notation is written as 4.76 x 102. This can also be written as 476e0, or 4.76e2. Scientific notation is commonly used in mathematics, physics, and engineering.

## How to Write 476 in Scientific Notation?

To write 476 in scientific notation, we need to first determine the coefficient and the exponent. To do this, we can use the following formula: coefficient x 10exponent. The coefficient is the number that comes before the 10 in the equation, while the exponent is the number that comes after the 10. In this case, the coefficient is 4.76, and the exponent is 2.

First, we need to move the decimal point in the number 476 until we have only one non-zero digit to the left of the decimal point. In this case, we need to move the decimal point two places to the left. This gives us 4.76. This is the coefficient of the scientific notation. The exponent is determined by the number of spaces we moved the decimal point. Since we moved the decimal point two places to the left, the exponent is 2.

Therefore, the scientific notation for 476 is 4.76 x 102, or 476e0, or 4.76e2.

## Uses of Scientific Notation

Scientific notation is a useful tool for scientists, engineers, and mathematicians who need to work with very large or very small numbers. It is also useful for scientific calculations, as it allows us to easily compare different numbers and perform calculations more quickly. Scientific notation is also commonly used in chemistry and physics, as it allows us to express very small and very large values in a compact form.

## Examples of Scientific Notation

Here are some examples of numbers written in scientific notation:

- 0.00234 = 2.34 x 10-3
- 4760 = 4.76 x 103
- 0.0000045 = 4.5 x 10-6
- 9000 = 9 x 103

In conclusion, scientific notation is a convenient way of expressing very large or very small numbers. It allows us to write a number in terms of a coefficient times a power of 10. 476 in scientific notation is written as 4.76 x 102, or 476e0, or 4.76e2. Scientific notation is commonly used in mathematics, physics, and engineering, and it is a useful tool for scientists, engineers, and mathematicians who need to work with very large or very small numbers.

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