Question 9 of 22intermediate✨ CreateEssay3 marks

Using the numbers 2, 3 and 5, and the operators '+' and '-', and brackets, as necessary, generate expressions to give as many different values as possible. For example, 2 - 3 + 5 = 4 and 3 - (5 - 2) = 0.

Correct Answer

Possible expressions and values:

  • 2 + 3 + 5 = 10
  • 2 + 3 - 5 = 0
  • 2 - 3 + 5 = 4
  • 2 - 3 - 5 = -6
  • 3 + 2 + 5 = 10
  • 3 + 2 - 5 = 0
  • 3 - 2 + 5 = 6
  • 3 - 2 - 5 = -4
  • 5 + 2 + 3 = 10
  • 5 + 2 - 3 = 4
  • 5 + 3 - 2 = 6
  • 5 - 2 + 3 = 6
  • 5 - 2 - 3 = 0
  • 5 - 3 + 2 = 4
  • (2 + 3) - 5 = 0
  • (2 - 3) + 5 = 4
  • 2 - (3 + 5) = -6
  • 3 - (5 - 2) = 0
  • 5 - (2 + 3) = 0
  • (5 - 2) + 3 = 6
  • (5 - 3) + 2 = 4
Exercise: Figure it Out (Section 3) | Q: 7 | (Page Page 15)
For More Understanding

Explanation

The chapter encourages exploring different ways to combine numbers using operations and brackets. Students should systematically try different orderings and bracket placements to generate various values.

Solution Steps

  1. List all permutations of 2, 3, 5 with + and - operations

  2. Add brackets to create more expressions

  3. Calculate values for each expression

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