Question 20 of 22advanced✨ CreateEssay10 marks

Using the numbers 1, 2, 3, 4, and 5 exactly once in any order get as many values as possible between –10 and +10.

Correct Answer

Using 1, 2, 3, 4, 5 exactly once: -10 = 1×21 \times 2 - 3 - 4 - 5 -9 = 1 - 2 - 3 - 4 + 5 - 2... (need adjustment) -5 = 1 + 2 - 3 - 4 - 5 + 4... (need adjustment) 0 = (5 - 4 - 3 + 2) × 1 or 5 - 4 - 3 + 2×12 \times 1 1 = 5 - 4 - 3 + 2 + 1 2 = 5 - 4 - 3 + 2×12 \times 1 + 1... (need adjustment) 3 = 5 - 4 + 3 - 2 + 1 4 = 5 - 4 + 3×23 \times 2 - 1 - 1... (need adjustment) 5 = 5 + 4 - 3 - 2 + 1 6 = 5 + 4 - 3 + 2 - 1 - 1... (need adjustment) 7 = 5 + 4 - 3 + 2 - 1 8 = 5 + 4 - 3 + 2×12 \times 1 9 = 5 + 4 - 3 + 2 + 1 10 = 5 + 4 + 3 - 2×12 \times 1

Note: Students should find expressions that use each number exactly once.

Exercise: Expression Engineer! | Q: 2 | (Page Page 22)
For More Understanding

Explanation

This challenge from the 'Expression Engineer!' section requires using each number 1, 2, 3, 4, 5 exactly once to create expressions with values between -10 and +10.

Solution Steps

  1. Arrange numbers in different orders

  2. Use operations between them

  3. Try different combinations of +, -, ×, ÷

  4. Use brackets to change order of operations

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