Real Numbers and Basic Operations Flashcards
________ are composed of rational and irrational numbers
Real numbers
The answer to a Subtraction question
The Difference
What can be expressed as 2 integers in the form of a/b (a over b)
Real Numbers
An Irrational Number is a decimal that…
… does NOT repeat and does NOT end
The answer to an Addition question
The Sum
If a is being divided by b then a is the _______ and b is the _______
a is the dividend and b is the divisor
The answer to a Multiplication question
The Product
“Counting Numbers” are…
Whole Numbers
T or F: Integers are counting numbers plus their negative counter parts
TRUE
0/a =
0
a/0 =
Undefined. You cannot divide a number by 0
The answer to a Division question
The Quotient
Commutative Property
The ability to add or multiply numbers in ANY order and the answer will be the same
a+b = b+a AND abc = cba is an example of:
The Commutative Property
The Associative Property
Terms in an expression of addition or multiplication can be grouped and solved for in different orders and still result in the same answer
(a+b) + c = a + (b+c) AND (ab) * c = a (b*c) are examples of …
The Associative Property
The Distributive Property
The product of a sum is equal to the sum of the products.
You can distribute multiplication through an equation of addition and subtraction
a(b + c) = ab + ac demonstrates what property?
The Distributive Property
What does BEDMAS stand for?
Brackets, Exponents, Division and Multiplication (in the order they occur), Addition and Subtraction (in the order they occur)
Identity Elements are…
Operations you can perform on a number that do NOT change the original number
What is the Additive Identity?
0
Adding 0 to any number does NOT change the original number
What is the Multiplicative Identity?
1
Any number multiplied by 1 remains the same
What are Inverse Elements?
Operations performed with a number and an Inverse Element give us the corresponding IDENTITY ELEMENT
What is the Additive Inverse for n?
-n
Adding -n to n gives us 0 (the Additive Identity)
What is the Multiplicative Inverse for a number, n?
1/n
Multiplying n by 1/n gives you 1 (the Multiplicative Identity)
