Numeric Data Types#
Integers#
TODO
Integers in Mathematics#
TODO:FIND OUT WHY INTEGER Z ISN’T RENDERING In mathematics, integers are positive and negative whole numbers, along with zero. They are represented without fractional or decimal points. The set of integers denoted by ℤ includes all the negative and positive counting numbers:
ℤ $= {…-3, -2, 1, 0, 1, 2, 3 …}$
Integers represent quantities that can be counted, such as the number of objects in a collection or the position of an object in a sequence. They are essential in various mathematical operations, including addition, subtraction, multiplication, and division.
Integers in Python#
In Python, integers (int)are an immutable data type used to represent whole numbers, both positive and negative, without any fractional or decimal components, as they do in mathematics. Integers in Python can be arbitrary, representing very large or very small numbers.
Integers are defined using numerical digits and can be assigned to variables or used directly in expressions. For example:
x = 5
y = -2
number_of_students = 5
Floating-Point Numbers#
Floating-point numbers in Python are a data type used to represent decimal numbers with fractional parts. They are typically used for representing real numbers in scientific calculations, financial applications, and other contexts where precision and accuracy are required.
Floating-Point Precision
In Python, floating-point numbers have limited precision due to the finite number of bits used to represent them. This can sometimes lead to rounding errors and loss of precision, especially when performing arithmetic operations involving very large or very small numbers. It is important to be aware of these limitations when working with floating-point numbers in Python.
Operators#
A mathematical operator is a symbol or function that performs an operation on one or more operands (a value or variable that is manipulated by an operator in a mathematical or logical operation.) to produce a result. In mathematics and programming, operators perform arithmetic, logical, and relational operations, such as addition, subtraction, multiplication, division, equality testing, and comparison.
Python operators are symbols or functions that perform operations on one or more operands to produce a result, encompassing arithmetic, logical, assignment, comparison, membership, identity, and bitwise operations, among others, crucial for various computational tasks and programmatic logic.
Mathematical operators and Python operators share similarities in that they both perform operations on operands to produce results, encompassing arithmetic, comparison, and logical operations. However, Python operators extend beyond traditional mathematical operators to include assignment, membership, identity, and bitwise operations, among others, tailored for programming tasks and data manipulation. Python operators also offer additional functionalities such as string concatenation and indexing, making them more versatile in handling complex data structures and programming logic compared to traditional mathematical operators.
The Addition Operator#
The addition operator, represented by the symbol $+$ in mathematics and + in Python, is a mathematical operator used to combine two operands to produce their sum. In Python, it can be applied to numeric data types such as integers and floating-point numbers, as well as to concatenate strings (concatenation operator)
TODO:ADD TRINKET HERE
The Subtraction Operator#
The subtraction operator, represented by the symbol $-$ in mathematics and - in Python, is a mathematical operator used to find the difference between two operands. In Python, it is commonly applied to numeric data types such as integers and floating-point numbers to calculate the result of subtracting one value from another.
TODO:ADD TRINKET HERE
The Multiplication Operator#
TODO
The Division Operator#
TODO
Comparison TODO#
Mathematical Operator |
Python Operator |
Use |
|---|---|---|
$+$ |
|
TODO |
$-$ |
|
TODO |
$\times$ or $\cdot$ |
|
TODO |
$\div$ |
|
TODO |