## Monday, June 29, 2015

### Numbers 0-12: Focus on One

After studying the properties of one, students will complete this page for home study.

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. Whole numbers are positive integers. 1 is a whole number.
• 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

Related Posts
Zero