## As a Decimal Number

A decimal number is a number that uses a base-10 system, meaning that it is based on powers of 10. It's the most common way to represent numbers in everyday life.

### Understanding Decimal Numbers

Here's how decimal numbers work:

**Place Values:**Each digit in a decimal number has a specific place value. Starting from the rightmost digit, the place values are: units, tens, hundreds, thousands, and so on.**Decimal Point:**The decimal point separates the whole number part from the fractional part.**Fractional Part:**Digits to the right of the decimal point represent fractions of a whole. The first digit after the decimal point represents tenths, the second represents hundredths, and so on.

**Example:**

Let's take the decimal number 123.456

**1:**Hundreds place**2:**Tens place**3:**Units place**.**Decimal point**4:**Tenths place**5:**Hundredths place**6:**Thousandths place

### Converting Fractions to Decimals

Any fraction can be converted to a decimal by dividing the numerator by the denominator.

**Example:**

1/4 = 0.25 (Divide 1 by 4)

### Converting Decimals to Fractions

To convert a decimal to a fraction, follow these steps:

**Write the decimal as a fraction over 1.****Multiply the numerator and denominator by 10 raised to the power of the number of decimal places.****Simplify the fraction if possible.**

**Example:**

0.75 = 75/100 = 3/4

### Benefits of Decimal Numbers

**Ease of Use:**Decimal numbers are relatively easy to understand and use.**Precision:**They allow for a high level of precision in representing numbers.**Universality:**They are the standard system of representing numbers in most parts of the world.

### Summary

Decimal numbers are a powerful tool for representing and working with numbers. Understanding their structure and how to convert between decimals and fractions is essential for working with numbers effectively.