Mathematics
Grade10
Easy
Question
If x = floor (x) = ceil (x) then ____.
- x is a fractional number
- x is an integer
- x is less than 1
- None of the above
Hint:
A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type.
The correct answer is: x is an integer
Let’s say x = 5.4. (Fractional Number)
Floor (5.4) = 5; Ceil (5.4) = 6
Let’s say x = 5. (Integer)
Floor (5) = Ceil (5) = 5
Let’s say x = 0.5
Floor (0.5) = 0; Ceil (0.5) = 1
Hence, the correct option is C.
An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.
