Arithmetic Operations in Python

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Questions and Answers

What does float division return in Python?

  • A boolean value
  • A complex number
  • A floating point number (correct)
  • An integer data type

What operator is used for integer division in Python?

  • // (correct)
  • +
  • %
  • /

How can you determine if a number is even in Python?

  • By calculating its square root
  • By using the modulus operator with 2 (correct)
  • By checking if it divides by 3
  • By seeing if it is positive or negative

What is the result of the expression 4 ** 2 in Python?

<p>16 (C)</p> Signup and view all the answers

What limitation affects the arithmetic operations of very large integers in Python?

<p>The size of the computer's RAM (C)</p> Signup and view all the answers

If you have 25 oranges and 4 friends, what will be the remainder when dividing oranges by friends?

<p>1 (A)</p> Signup and view all the answers

What symbol is used in Python to perform remainder division?

<p>% (B)</p> Signup and view all the answers

Why might large integers in Python benefit from using underscores?

<p>They make the number easier to read (D)</p> Signup and view all the answers

What is the approximate time in years for light to travel to Proxima Centauri?

<p>4.2 years (C)</p> Signup and view all the answers

What is 'nan' used to represent in scientific calculations?

<p>An invalid or undefined numeric result (A)</p> Signup and view all the answers

What module is used to generate random numbers in Python?

<p>random (C)</p> Signup and view all the answers

What does the 'isnan' function in the math module help to check?

<p>If a temperature is valid or has data (D)</p> Signup and view all the answers

What could cause a ZeroDivisionError in the average temperature computation?

<p>The temperatures list is empty or contains only 'nan' values (C)</p> Signup and view all the answers

What does the 'randint()' function do in the random module?

<p>Generates a random integer in a specified range (C)</p> Signup and view all the answers

When calculating the average of a list of temperatures, what is crucial to check before performing the division?

<p>If the count of valid temperatures is not zero (B)</p> Signup and view all the answers

What is the purpose of using 'float("nan")' in Python?

<p>To indicate a missing or undefined numerical value (B)</p> Signup and view all the answers

Which random function would you use to select a random item from a list?

<p>choice() (A)</p> Signup and view all the answers

What is the result of dividing by zero in Python?

<p>It raises a ZeroDivisionError (D)</p> Signup and view all the answers

Flashcards

Float Division

A type of division that always returns a decimal number (also known as a floating-point number). It's represented by the forward slash symbol '/' in Python.

Integer Division

A type of division that always returns a whole number without any decimal part. It's represented by double forward slashes '//' in Python.

Remainder of Division

The remainder after a division operation. It's calculated using the modulo operator '%' in Python.

Exponentiation

An operation that raises a number to a power, where the power indicates how many times the number multiplies itself. It's represented by double asterisks '**' in Python.

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Big Integers

A system that handles very large numbers, without limitations on their size. Python excels at this, allowing for calculations involving huge values.

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Underscores in Numbers

A way to represent large numbers in Python using underscores to improve readability and make it easier to identify the value. For example, 10_000_000 is equivalent to 10000000.

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Checking for Even or Odd

The use of the modulo operator (%) to check if a number is even or odd. If the remainder of the division by 2 is 0, then the number is even; otherwise, it's odd.

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Equal Sharing

The process of dividing a number equally into a set of parts. This is related to the 'Remainder of Division' concept, where we focus on what's left over after the equal division.

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What is 'nan'?

Used to represent undefined or invalid numeric results. It signals errors or missing data.

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What is the 'math' module?

A built-in module in Python used to perform mathematical calculations. It includes functions like isnan(), sqrt() , and cos().

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What does the 'isnan' function do?

A function that checks if a value is NaN (Not a Number).

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What is the 'random' module?

A built-in module in Python for generating random numbers. Used for tasks like simulations, games, and data shuffling.

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What does the 'choice' function do?

A function from the 'random' module that returns a random element from a given sequence like a list. Useful for picking random items.

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What does the 'randint' function do?

A function in the 'random' module that returns a random integer within a specified range (inclusive).

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What does the 'random' function do?

A function from the 'random' module that returns a random floating-point number between 0.0 and 1.0 (excluding 1.0).

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What is a ZeroDivisionError?

A programming error caused when attempting to divide by zero. It's undefined in mathematics.

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Why is it important to check if the divisor is not equal to zero?

A statement that checks if the divisor is not equal to zero before performing a division operation, preventing ZeroDivisionError.

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What is scientific notation?

A method of representing very large or very small numbers in a more compact and readable way. It expresses the number as a product of a number between 1 and 10 and a power of 10.

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Study Notes

Arithmetic Operations in Python

  • Python supports basic arithmetic operations: addition, subtraction, multiplication, and division.
  • Python has two types of division:
    • Float division (/): Returns a floating-point number (fraction).
    • Integer division (//): Returns an integer (whole number).
  • Remainder of division (%): Calculates the remainder after division. Used to check for even/odd numbers.
  • Exponentiation (**): Raises a number to a power.

Big Integers

  • Python handles arbitrarily large integers without overflow.
  • Underscores (_) in large numbers improve readability (e.g., 40_000_000_000_000).

nan (Not a Number) and Division by Zero

  • nan represents undefined or invalid numeric results.
  • Used to handle missing or invalid data during calculations.
  • Avoid ZeroDivisionError by checking if the divisor is non-zero (if count != 0).
  • Division by zero is undefined mathematically.

Random Numbers

  • Python's random module generates random numbers.
  • random.choice(list): Randomly selects an item from a list.
  • random.randint(a, b): Generates a random integer between a and b (inclusive).
  • random.random(): Generates a random float between 0 and 1 (exclusive). Useful for generating percentages within a range.

Built-in Modules

  • Python's built-in modules (like math and random) contain pre-written functions for various tasks.
  • You can access these functions without needing external installations.

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