abs() and round() in Python - Cheat Sheet & Quick Revision

Recall & Review

beginner

What does the abs() function do in Python?

The abs() function returns the absolute value of a number, which means it removes any negative sign and gives the distance from zero.

beginner

How does the round() function work in Python?

The round() function rounds a floating-point number to the nearest whole number or to a specified number of decimal places.

beginner

What will abs(-7.5) return?

It will return 7.5 because abs() removes the negative sign and returns the positive value.

beginner

What is the result of round(3.14159, 2)?

It returns 3.14 because it rounds the number to 2 decimal places.

beginner

Can round() be used without specifying decimal places? What happens then?

Yes, if you use round() without the second argument, it rounds the number to the nearest whole number (integer).

What does abs(-10) return?

A 10

B -10

C 0

D -1

abs() returns the positive value of the number, so abs(-10) is 10.

What is the output of round(4.678)?

A 4.68

B 5

C 4.7

D 4

Without specifying decimal places, round() rounds to the nearest whole number. Since 4.678 is closer to 5, it returns 5.

Which function would you use to get the positive value of a number?

A abs()

B round()

C int()

D float()

abs() returns the absolute (positive) value of a number.

What does round(2.345, 1) return?

A 2.3

B 2.4

C 2.34

D 3

It rounds to 1 decimal place. The hundredths digit is 4 (<5), but the thousandths digit is 5, so it rounds up to 2.4.

If you want to round a number to zero decimal places, what should you do?

A Use round(number)

B Use abs(number)

C Use round(number, 0)

D Use int(number)

Using round(number) or round(number, 0) rounds the number to zero decimal places (nearest whole number). Note that round(number) returns an int, while round(number, 0) returns a float.

Explain how the abs() function works and give an example.

Think about how distance from zero is always positive.

Describe how to use the round() function to round a number to 3 decimal places.

Remember the second number tells how many digits after the dot you want.

Practice

1. What does the Python function abs() do when given a number?

easy

A. Rounds the number to the nearest integer

B. Returns the negative of the number

C. Converts the number to a string

D. Returns the positive distance of the number from zero

Solution

1. Step 1: Understand the purpose of abs()

   The abs() function returns how far a number is from zero without considering its sign.

2. Step 2: Compare with other options

   Rounding, string conversion, or negation are different functions; only abs() returns the positive distance.

3. Final Answer:

   Returns the positive distance of the number from zero -> Option D

4. Quick Check:

   abs(-5) = 5 [OK]

Hint: Think: absolute means distance without sign [OK]

Common Mistakes:

• Confusing abs() with round()
• Thinking abs() changes the number's sign
• Assuming abs() converts to string

2. Which of the following is the correct way to round the number 3.14159 to 2 decimal places in Python?

easy

A. round(3.14159, '2')

B. round(3.14159.2)

C. round(3.14159, 2)

D. round(3.14159, 2.0)

Solution

1. Step 1: Check the syntax of round()

   The round() function takes a number and an integer for decimal places, like round(number, digits).

2. Step 2: Validate each option

   round(3.14159, 2) uses correct syntax with an integer 2. round(3.14159.2) has a dot instead of a comma. round(3.14159, '2') uses a string '2' which is invalid. round(3.14159, 2.0) uses a float 2.0 which is accepted as decimal places.

3. Final Answer:

   round(3.14159, 2) -> Option C

4. Quick Check:

   round(3.14159, 2) = 3.14 [OK]

Hint: Use comma and integer for decimals in round() [OK]

Common Mistakes:

• Using dot instead of comma between arguments
• Passing decimal places as string
• Passing decimal places as float

3. What is the output of this code?

print(abs(-7.8))
print(round(2.675, 2))

medium

A. 7.8 and 2.68

B. 7.8 and 2.67

C. -7.8 and 2.68

D. -7.8 and 2.67

Solution

1. Step 1: Calculate abs(-7.8)

   The absolute value of -7.8 is 7.8, so the first print outputs 7.8.

2. Step 2: Calculate round(2.675, 2)

   Due to floating-point rounding, 2.675 rounds to 2.67 (not 2.68) in Python.

3. Final Answer:

   7.8 and 2.67 -> Option B

4. Quick Check:

   abs(-7.8) = 7.8, round(2.675, 2) = 2.67 [OK]

Hint: Remember floating-point quirks in round() [OK]

Common Mistakes:

• Expecting round(2.675, 2) to be 2.68
• Forgetting abs() returns positive value
• Mixing signs in output

4. The following code has an error. What is it?

num = -4.5
print(round(abs(num), 1.0))

medium

A. round() decimal places must be an integer, not float

B. abs() cannot take negative numbers

C. print() syntax is incorrect

D. num variable is not defined

Solution

1. Step 1: Analyze abs(num)

   The abs() function works fine with negative numbers, so no error here.

2. Step 2: Check round() arguments

   The second argument to round() must be an integer, but 1.0 is a float, causing a TypeError.

3. Final Answer:

   round() decimal places must be an integer, not float -> Option A

4. Quick Check:

   round(..., 1.0) causes error [OK]

Hint: Decimal places in round() must be int, not float [OK]

Common Mistakes:

• Thinking abs() can't take negatives
• Passing float instead of int for decimals
• Assuming print() syntax error

5. You have a list of numbers: nums = [-3.1415, 2.718, -1.414, 0]. You want to create a new list with the absolute values rounded to 2 decimal places. Which code does this correctly?

hard

A. rounded = [round(abs(x), 2) for x in nums]

B. rounded = [round(x, 2) for x in nums]

C. rounded = [round(abs(x), '2') for x in nums]

D. rounded = [round(abs(x), 2.0) for x in nums]

Solution

1. Step 1: Understand the goal

   We want absolute values first, then round them to 2 decimals.

2. Step 2: Check each option

   rounded = [round(abs(x), 2) for x in nums] correctly applies abs() then round() with integer 2. rounded = [round(x, 2) for x in nums] rounds but does not apply abs(), leaving negative values negative. rounded = [round(abs(x), '2') for x in nums] uses string '2' which is invalid. rounded = [round(abs(x), 2.0) for x in nums] uses float 2.0 which is accepted as decimal places.

3. Final Answer:

   rounded = [round(abs(x), 2) for x in nums] -> Option A

4. Quick Check:

   abs then round with int decimals [OK]

Hint: Apply abs() before round() with integer decimals [OK]

Common Mistakes:

• Rounding before abs() changes results
• Using string or float for decimal places
• Confusing order of functions