Question 7 of 22intermediate🔍 AnalyzeNumerical3 marks
Find the values of the following expressions. For each pair, first try to guess whether they have the same value. When are the two expressions equal? (a) (6 + 10) - 2 and 6 + (10 - 2) (b) 16 - (8 - 3) and (16 - 8) - 3 (c) 27 - (18 + 4) and 27 + (-18 - 4)
(a)
Answer
Both equal 14. The expressions are equal.
(b)
Answer
16 - (8 - 3) = 11, (16 - 8) - 3 = 5. Not equal.
(c)
Answer
Both equal 5. The expressions are equal.
Explanation
(a) (6 + 10) - 2 = 14 and 6 + (10 - 2) = 14 (b) The expressions have different values due to different order of operations (c) 27 - (18 + 4) = 27 - 22 = 5 and 27 + (-18 - 4) = 27 - 22 = 5