Unit 1 Flashcards
Real Numbers
Consists of both rational and irrational numbers
Rational Numbers
A number in the form of p/q where p and q are integers and q doesn’t equal 0; a number that can be expressed in the form of a fraction
Irrational Numbers
Non-repeating, non-terminating decimals
Natural Numbers
Subcategory under rational numbers; positive numbers (counting numbers); 1, 2, 3, …
Whole Numbers
Subcategory in rational numbers; natural numbers but zero is included; 0, 1, 2, 3, …
Integers
Subcategory in rational numbers; negative and whole numbers; -2, -1, 0, 1, 2, …
Closure Property
A set of numbers is said to be closed for a specific mathematical operation if the result obtained is performed on any two numbers in the set is itself a member of the set
Commutative Property
Commute means to change or swap, so the order of numbers can be changed or swapped
Associative Property
You can add or multiply regardless of how numbers are grouped
Distributive Property
Used to multiply a single term and two or more terms inside a set of parentheses
Inverse Property for Addition
The sum of a number and its negative number is 0
Inverse Property for Multiplication
The product of a number and its reciprocal is one
Identity Property for Addtion
Zero added to any number is itself
Identity Property for Multiplication
One multiplied by any number is itself
Substitution property of equality
If x=y, then x can be substituted in for y in any equation; simplification