The absolute value of a number is its distance from zero on the number line, regardless of its direction.

Absolute values are always non-negative.

For example:

• The absolute value of 10 is 10.
• The absolute value of -10 is also 10.
• The absolute value of 0 is 0.

In Python, the built-in abs() function is used to find the absolute value of a number.

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Syntax #

abs(number)

Parameters #

Parameter	Description
number	An integer, floating-point number, or complex number.

Return Value #

Returns the absolute value of the given number.

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Example 1: Absolute Value of a Positive Integer #

main.py

number = 25

print(abs(number))

Output #

25

Explanation #

• 25 is already positive.
• Therefore, its absolute value is 25.

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Example 2: Absolute Value of a Negative Integer #

main.py

number = -25

print(abs(number))

Output #

25

Explanation #

• -25 is 25 units away from zero.
• The abs() function removes the negative sign.
• The result is 25.

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Example 3: Absolute Value of Zero #

main.py

number = 0

print(abs(number))

Output #

0

Explanation #

• Zero is neither positive nor negative.
• Its distance from zero is zero.
• Therefore, the absolute value is 0.

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Example 4: Absolute Value of a Float #

main.py

temperature = -18.75

print(abs(temperature))

Output #

18.75

Explanation #

• The abs() function also works with floating-point numbers.
• The negative sign is removed.
• The decimal value remains unchanged.

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Example 5: Absolute Value in a Calculation #

main.py

difference = 75 - 100

print(difference)
print(abs(difference))

Output #

-25
25

Explanation #

• The subtraction produces -25.
• The abs() function converts it to its absolute value.
• This is useful when only the magnitude of a difference is important.

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Example 6: Absolute Value of a Complex Number #

main.py

number = 3 + 4j

print(abs(number))

Output #

5.0

Explanation #

• For complex numbers, abs() returns the magnitude (also called the modulus).
• For 3 + 4j, the magnitude is 5.0.
• The returned value is a floating-point number.

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Example 7: User Input #

main.py

number = int(input("Enter an integer: "))

print(abs(number))

Sample Input #

-45

Output #

45

Explanation #

• The user enters a negative integer.
• int() converts the input into an integer.
• abs() returns its absolute value.

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Example 8: Comparing Two Numbers #

main.py

a = 12
b = 20

difference = abs(a - b)

print(difference)

Output #

8

Explanation #

• a - b evaluates to -8.
• abs() converts it to 8.
• This gives the distance between the two numbers.

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Example 9: Absolute Value Inside an Expression #

main.py

result = abs(-15) + abs(-20)

print(result)

Output #

35

Explanation #

• abs(-15) returns 15.
• abs(-20) returns 20.
• Their sum is 35.

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Example 10: Checking the Return Type #

main.py

print(type(abs(-50)))
print(type(abs(-4.5)))

Output #

<class 'int'>
<class 'float'>

Explanation #

• The return type depends on the input.
• An integer input returns an integer.
• A floating-point input returns a floating-point value.

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Common Mistakes #

1. Assuming abs() Always Returns an Integer #

Incorrect

print(type(abs(-4.5)))

Incorrect Expectation #

<class 'int'>

Actual Output #

<class 'float'>

Reason

abs() returns the same numeric type as its argument (except for complex numbers, where it returns a float).

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2. Forgetting Parentheses #

Incorrect

number = -15

print(abs)

Output #

<built-in function abs>

Reason

abs is the function object itself.

Correct

print(abs(number))

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3. Passing a String Directly #

Incorrect

print(abs("-25"))

Output #

TypeError: bad operand type for abs(): 'str'

Reason

abs() expects a numeric value.

Correct

print(abs(int("-25")))

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4. Expecting the Original Variable to Change #

Incorrect

number = -10

abs(number)

print(number)

Output #

-10

Reason

abs() returns a new value.
It does not modify the original variable.

Correct

number = abs(number)

print(number)

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Best Practices #

• Use abs() whenever you need the magnitude of a number.
• Store the returned value if it will be used later.
• Convert user input to a numeric type before calling abs().
• Use abs(a - b) when calculating the difference between two values.
• Remember that abs() works with integers, floating-point numbers, and complex numbers.

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Key Points to Remember #

• The absolute value is the distance of a number from zero.
• Absolute values are always non-negative.
• Python provides the built-in abs() function.
• abs() works with integers, floating-point numbers, and complex numbers.
• For complex numbers, abs() returns the magnitude.
• abs() returns a new value and does not modify the original variable.
• The return type depends on the type of the input value.