Question 17 of 24intermediate🔍 AnalyzeShort Answer4 marks
In each of the sets of expressions below, identify those that have the same value. Do not evaluate them, but rather use your understanding of terms. (a) 319 + 537, 319 - 537, -537 + 319, 537 - 319 (b) 87 + 46 - 109, 87 + 46 - 109, 87 + 46 - 109, 87 - 46 + 109, 87 - (46 + 109), (87 - 46) + 109
(a)
Answer
319 - 537 and -537 + 319 have the same value (both equal -218).
(b)
Answer
The first three expressions are identical. 87 - 46 + 109 and (87 - 46) + 109 are equal.
Explanation
(a) 319 - 537 = 319 + (-537) = -218. -537 + 319 = -218. These are equal by commutative property of addition. (b) 87 - 46 + 109 = 150. (87 - 46) + 109 = 41 + 109 = 150. These are equal.