Question 21 of 22advanced✨ CreateEssay5 marks

Using the numbers 0 to 9 exactly once in any order, make an expression with a value 100.

Correct Answer

Using digits 0-9 exactly once to make 100:

One solution: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8×98 \times 9 + 0 = 100 Wait, let me verify: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 72 + 0 = 100? No, that's 100. Another solution: (0 + 1 + 2 + 3 + 4) × 5 + 6 + 7 + 8 + 9 = 10×510 \times 5 + 30 = 80... not 100. Better solution: 1×21 \times 2 × 3×43 \times 4 + 5×65 \times 6 + 7×87 \times 8 + 9×09 \times 0 = 24 + 30 + 56 + 0 = 110... not 100. Try: 1 + 2 + 3 - 4 + 5 + 6 + 78 + 9 + 0 = 100 Verify: 1 + 2 + 3 - 4 + 5 + 6 + 78 + 9 + 0 = 6 - 4 + 5 + 6 + 78 + 9 = 100 ✓

Another: 12 + 3 + 4 + 5 + 6 + 7 + 8×98 \times 9 + 0 = 12 + 3 + 4 + 5 + 6 + 7 + 72 = 109... not 100. Solution: 1 + 2 + 3 - 4 + 5 + 6 + 78 + 9 + 0 = 100

Exercise: Expression Engineer! | Q: 3 | (Page Page 22)
For More Understanding

Explanation

This challenge requires creative use of all digits 0-9 exactly once to form an expression equaling 100. Students can combine digits to form multi-digit numbers.

Solution Steps

  1. Use digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 exactly once

  2. Combine operations strategically

  3. Can form multi-digit numbers like 78

  4. Verify the expression equals 100

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