What is written 100000 in scientific notation?

Scientific notation is a way to express very large or very small numbers in a more concise and manageable format. In scientific notation, numbers are written as a number between 1 and 10 multiplied by a power of 10.

To express the number 100,000 in scientific notation, we first need to move the decimal point to the left until there is only one non-zero digit to the left of the decimal point. In this case, we move the decimal point five places to the left, resulting in 1.0 x 10^5. Therefore, 100,000 in scientific notation is 1.0 x 10^5.

Understanding Scientific Notation

Scientific notation is a mathematical expression used to write very large or very small numbers in a simpler and concise manner. Often utilized in fields such as physics, engineering, and astronomy, scientific notation successfully manages to convert complex numerical expressions into a simplified standard form.

The Concept of Scientific Notation

The structure of a number in scientific notation predominantly consists of two components – the significand and the exponent. The significand typically ranges between 1.0 and 10, (which may not be an integer) and the exponent (typically an integer), corresponds to the magnitude of the number.

Representation in Scientific Notation

The general form of a number ‘N’ in scientific notation is represented as follows: N = a x 10^n, where ‘a’ is the significand and ‘n’ is the exponent.

Converting the Number 100000 into Scientific Notation

To convert the number 100000 into scientific notation, the first step is to rewrite the number as a product, which includes a number between 1 and 10 (the significand) and 10 to the power of an integer (the exponent).

Procedure to Follow

In the case of 100000, the procedure would be as follows:

1. Express 100000 as a decimal number between 1 and 10; the result is 1.0.

2. Identify the positional movement of the decimal point within the original number to derive the exponent. The decimal point is moved five places to the left, rendering the number 1. Thus, the exponent is 5.

Result in Scientific Notation

Combining these values according to the standard scientific notation formula, 100000 can be expressed as 1.0 x 10^5. This method streamlines computations involving large numbers by reducing the number of digits while retaining the number’s exact value.

Other Examples

For further clarity, consider the following examples:

The number 300 can be expressed as 3 x 10^2 in scientific notation.

The number 45000 can be represented as 4.5 x 10^4 in scientific notation.

Summary

To summarize, scientific notation offers an effective and efficient method for expressing extremely large or small numbers. It simplifies computations and lends simplicity to complex calculations. By representing the number 100000 as 1.0 x 10^5, scientific notation greatly reduces the complexity associated with computing large values.

The number 100,000 written in scientific notation is 1 x 10^5. The scientific notation format simplifies large numbers by expressing them as a number between 1 and 10 multiplied by a power of 10.

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