Tuesday, 28 October 2025

Exercise (2.2).2

Evaluate the following:

(a) $⌊6.3⌋ + ⌈−6.3⌉$

(b) $⌊6.3⌋ + ⌊−6.3⌋$

(c) $⌊−6.3⌋ + ⌈−6.3⌉$

(d) $⌊−6.3⌋ + ⌊−6.3⌋$


(a) $\lfloor 6.3 \rfloor + \lceil -6.3 \rceil = 6 + (-6) = 0$

(b) $\lfloor 6.3 \rfloor + \lfloor 6.3 \rfloor = 6 + (-7) = -1$

(c) $\lfloor -6.3 \rfloor + \lceil -6.3 \rceil = -7 + (-6) = -13$

(d) $\lfloor -6.3 \rfloor + \lfloor -6.3 \rfloor = -7 + (-7) = -14$