What do we know about one?

**Names for One**

**Digit:**One is one of the ten digits that make up all numbers in the base ten system.**Whole Number:**Whole numbers are "quantity numbers." They tell how many you have.**Integer:**Integers are whole numbers, and their additive inverse (negative numbers). Integers are not fractions. Both 1 and -1 are integers.**Number:**an arithmetical value, expressed by a word, symbol, or figure representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. 1 is a number.**Real Number:**Numbers that can be found on a number line, 0 can be found on a number line. 1 can be found on a number line.**Rational Number:**Any number that can be written as a fraction is a rational number, since 1/1 = 1, 1 is a rational number.**Odd:**1 is an odd number. It cannot be split into two same whole numbers.**Counting Numbers/Natural Numbers:**When we count objects, we start with 1.**Positive Integers:**Positive whole numbers greater than 0.

**Number Names that Don't Describe One**

**Fraction:**1 is not a fraction, but a fraction can equal one when the the numerator and denominator are equal (unless it is 0): a/a = 1 when a is not qual to 0.**Negative Integers:**The opposite of positive integers, all the additive inverse or negative numbers less than 0.**Irrational Number:**0 is not an irrational number because it is a rational number.**Even Number:**1 is not an even number because it cannot be split into two equal whole numbers.

**Properties of One (A property is a trait, characteristic, attribute)**

**Multiplication Property:**Multiplying any number by one does not change its value.**Example: 5 X 1 = 5**(the multiplicative identity property)**Division Property:**Dividing any number by one does not change its value.**Example: 6 divided by 1 = 6.**

**The "Behavior" of One**("Behavior" is the way one acts in an equation or expression)

- Powers of One: The number one raised to any power always equals one.
**Example: one raised to the power of 10 is still equal to one.** - Any number raised to the power of one remains unchanged.
**Example: 4 to the power of one is equal to 4.** - Any nonzero number divided by itself is equal to one.
**a/a = 1 when a is not equal to 0.** - First nonzero number in the natural numbers and first odd number in the natural numbers.
- One is considered a unit.
**One is neither composite or prime.** - One is the only positive integer divided by exactly one positive integer.
- One is the probability that an event will occur.
- When the denominator is equal to one, the value of the fraction will be equal to the numerator (except when the numerator is 0)
**Example a/1=1 when a is not equal to 0**

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**Zero**