Convert Ten Hundredths To Standard Form In 1 Step

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The process of converting a decimal number to standard form, also known as scientific notation, can be a straightforward process. In this article, we will delve into the concept of converting ten hundredths to standard form in just one step.

Ten hundredths, written as 0.10, is a decimal number that represents a fraction of a whole. To convert this number to standard form, we need to understand the concept of scientific notation. Scientific notation is a way of expressing numbers in the form of a number between 1 and 10, multiplied by a power of 10.

Understanding the Concept of Scientific Notation

Scientific notation is a shorthand way of writing very large or very small numbers. It consists of a coefficient, which is a number between 1 and 10, and an exponent, which is a power of 10. The general form of scientific notation is:

a × 10^n

where a is the coefficient and n is the exponent.

The Rules of Converting Decimals to Standard Form

To convert a decimal number to standard form, we need to follow these simple rules:

• If the decimal number is greater than or equal to 10, we need to move the decimal point to the left until we have a number between 1 and 10.
• If the decimal number is less than 1, we need to move the decimal point to the right until we have a number between 1 and 10.
• The number of places we move the decimal point is the exponent of the power of 10.

Converting Ten Hundredths to Standard Form in 1 Step

Now that we understand the concept of scientific notation and the rules of converting decimals to standard form, let's convert ten hundredths to standard form in just one step.

To convert 0.10 to standard form, we need to move the decimal point one place to the right to get a number between 1 and 10. This means that the exponent of the power of 10 is -1.

Therefore, the standard form of ten hundredths is:

1.0 × 10^(-1)

This is the equivalent of 0.10 in standard form.

Why is Converting Decimals to Standard Form Important?

Converting decimals to standard form is an important skill in mathematics and science. It allows us to easily compare and manipulate large and small numbers, making it a crucial tool for problem-solving.

By converting decimals to standard form, we can:

• Easily compare and order numbers
• Perform calculations with large and small numbers
• Express numbers in a more compact and readable form

In conclusion, converting ten hundredths to standard form in just one step is a simple process that involves understanding the concept of scientific notation and following the rules of converting decimals to standard form. By mastering this skill, you will be able to work with large and small numbers with ease and confidence.

We hope you found this article informative and helpful. If you have any questions or comments, please feel free to share them below.