Evaluate the following:

(i) -8 – 24 + 31 – 26 – 28 + 7 + 19 – 18 – 8 + 33

(ii) -26 – 20 + 33 -(-33) + 21 + 24 – (-25) -26 – 14 – 34

Solution:

(i) -8 – 24 + 31 – 26 – 28 + 7 + 19 – 18 – 8 + 33

separating the same sign terms

= (-8 – 24 – 26 – 28 – 18 – 8) + (31 + 7 + 19 + 33)

= -112 + 90

= -22

(ii) -26 – 20 + 33 -(-33) + 21 + 24 – (-25) – 26 – 14 – 34

= -26 – 20 + 33 + 33 + 21 + 24 + 25 – 26 – 14 – 34

separating the same sign terms

= (-26 – 20 – 26 – 14 – 34) + 33 + 33 + 21 + 24 + 25

= -120 + 136

= 16

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