A **decimal** is any number in our base-ten number system.

The position of the digit in the decimal number determines the digit’s value.

Decimals show numbers that are in between two whole numbers. A decimal has two parts, the integer part and the fractional part, which starts with the dot character. Example:

As an example of a decimal number, let’s take the number **65.894**

**Sixty-five ****and eight hundred and ninety** **-four ****thousandths**

** **The number after the decimal point can be collectively pronounced as 8 tenths, 9 hundredths and 4 thousandths or, more simply, as 894 thousandths.

Notice that all place values to the right of the decimal point end in **ths. **

The decimal point is read as “**and**“, to indicate the separation from the whole number and the decimal fraction parts.

**Decimal Place Value Poem:**

**Reading Decimals is easy you’ll see,**

**They have two names like you and me.**

**First, you say the name as if there were no dot,**

*Then you say the name of the last place value spot!*

** **Decimal values con be written as a decimal fraction (fractions with a denominator of 10, 100, 1000, …)

Decimal Standard Form to Word Names:

**0.8 = eight tenths**

**0.95 = ninety five hundredths**

**0.345 = three hundred forty five thousandths**

** **Hint: When writing a decimal number that is less than 1, a zero is normally used in the one´s place.

Remember: Writing zeroes to the right of the decimal does not change its value. Example:

0.8 = 0.80 = 0.800

A **terminating decimal** reaches an end after a finite number of digits.

Example: 1.5 is exactly equal to ‘one and one half’

A **Repeating decimal** (non terminating) is a decimal that does not end. Instead is goes on forever.

Example: 1/3 = 0.33333333…

**Rational Numbers** includes integers, terminating decimals, and repeating decimals as well as fractions.

Create a graphic organizer (Frayer Model) for the following vocabulary words: **Decimal numbers, Standard form, Expanded form, Word form.**