10
lesson pretestMultiple Choice

Pretest

Question 10 • Mathematics III

Kareem wrote the expressions shown. lceil 3 point 2 rceil lfloor 2 point 7 rfloor lceil 2 point 9 rceil lfloor 4 point 8 rfloor Which pair is equivalent?

Answer
A
lceil 3 point 2 rceil and lceil 2 point 9 rceil
B
lfloor 4 point 8 rfloor and lceil 3 point 2 rceil
C
lfloor 2 point 7 rfloor and lceil 3 point 2 rceil
D
lceil 2 point 9 rceil and lfloor 2 point 7 rfloor

Explanation

The ceiling gives the least integer greater than or equal to a number, so ⌈3.2⌉ = 4. The floor gives the greatest integer less than or equal to a number, so ⌊4.8⌋ = 4. These expressions are equivalent, so the correct choice is “⌊4.8⌋ and ⌈3.2⌉.”

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