Integers Properties
3+4 = 4+3
What is the Commutative Property?
This kind of rational number is represented with a bar separating the parts from the whole.
What is a fraction?
This is the top part of a fraction that represents the parts of the whole.
What is the numerator?
These two properties are available under addition in every number field.
What are commutative and associative properties?
This is defined as the largest possible factor in common between two or more numbers.
What is the GCF or GCD?
x+0=x
What is the additive identity?
The set of rational numbers is defined as all numbers that can be represented as a ___________.
What is a ratio of integers?
This is the bottom part of a fraction that represents the whole unit from which parts are taken.
What is a denominator?
This property is now available for integers and rational numbers under both addition and subtraction.
What is closure?
One must show this when a number is proven to be composite.
What is the prime factorization?
Performing an operation with numbers in a particular number field gives you an answer that is in the same number field gives you this property.
What is closure?
The process of finding the product of two fractions is called this.
What is cross multiplication?
This is the type of fraction represented as a/b where 0 is less than or equal to a which is less than b.
What is a proper fraction?
This property exists when performing an operation on one side to remove a component, the same operation is performed on the other side of the equation.
What is additive equality for equations?
Divisibility tests for 3 and 9 involve this process.
What is find the sum of digits?
4 x 1 = 4
What is the multiplicative identity?
This type of rational number implies an addition or subtraction between parts.
What is a mixed number?
This type of fraction results when a there are more parts than parts in a whole, or a larger numerator than denominator.
What is an improper fraction?
This property under multiplication is now possible for rational numbers thanks to the opposites from integers and the ability to be a non-whole number.
What is the reciprocal or multiplicative inverse?
This formula is more frequently used at higher levels (i.e. middle and high school) but can first be introduced at the younger levels with problems like 18*22.
What is the difference of squares formula?
2 + (8 + 9) = (2 + 8) + 9
What is the associative property?
These are the three ways to determine if fractions are equivalent.
What is reduce both fractions to the simplest form, rewrite both fractions with the same least common denominator (found in the same way as LCM), and rewrite both fractions with a common denominator?
In order to find the sum of two fractions with different denominators, you must first find this.
What is a common denominator?
This property states that given any two rational numbers, there will always be another rational number between them.
What is the denseness property?
This property involves changing the grouping of terms in an expression or equation.
What is the associative property?