Question

What do the ceiling and floor functions do?

1) Round a number up to the nearest integer
2) Round a number down to the nearest integer
3) Round a number to the nearest integer
4) Calculate the absolute value of a number

Answer 1

The ceiling function rounds a number up to the nearest integer, while the floor function rounds a number down to the nearest integer.

Therefore, the correct options are:

option 1) Round a number up to the nearest integer.

option 2) Round a number down to the nearest integer.

Step-by-step explanation:

Floor and ceiling functions In mathematics and computer science, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted ⌊x⌋ or floor.

The ceiling and floor functions are mathematical functions that round a number up or down to the nearest integer, respectively.

The ceiling function rounds a number up to the nearest integer, while the floor function rounds a number down to the nearest integer.

For example, if we apply the ceiling function to 4.3, the result would be 5 because it rounds up to the nearest integer.

Conversely, if we apply the floor function to 4.7, the result would be 4 because it rounds down to the nearest integer.

Therefore, the correct answer is option 1) Round a number up to the nearest integer and option 2) Round a number down to the nearest integer.