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How to make 100 out of 123456789

GeneralClass 12AllAnswered 27 Mar 2026
Answer

You can create 100 from the digits 123456789 using various arithmetic operations and arrangements. One popular solution is: 123 + 45 - 67 + 8 - 9 = 100, which uses addition and subtraction while maintaining the digit sequence. Other valid solutions include 123 - 45 - 67 + 89 = 100, or using multiplication and division such as (1 + 2 - 3 + 4 + 5 + 6) × (7 + 8 + 9) ÷ 4, though this requires creative interpretation of "using" the digits. This type of puzzle develops numerical reasoning skills and demonstrates how mathematical operators can transform a fixed set of digits into specific targets. In educational settings, these challenges help students understand order of operations (PEMDAS/BODMAS) and encourage flexible thinking about number relationships. The constraint of maintaining digit order adds complexity—if you're allowed to rearrange digits, the possibilities expand dramatically, such as 15 + 36 + 47 + 2 = 100. These mental math exercises appear frequently in recreational mathematics and cognitive assessments because they test both computational skills and creative problem-solving abilities.

General · Class 12