1+11+111+1111+11111+111111+1111111+11111111 1.2345×2.345+2.469×3.8275 1-3+3^2-3^3+3^4-3^5+3^6-3^7+3^8-3^9+3^10_ Mathematical calculation

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Current location：Mathematical operation > History of Mathematical Computation > Answer

    Overview: 3 questions will be solved this time.Among them
           ☆3 arithmetic calculations

[1/3 Formula]
    Work: Calculate the value of equation 1+11+111+1111+11111+111111+1111111+11111111 .
    Question type: Mathematical calculation
    Solution:
          1+11+111+1111+11111+111111+1111111+11111111
        =12+111+1111+11111+111111+1111111+11111111
        =123+1111+11111+111111+1111111+11111111
        =1234+11111+111111+1111111+11111111
        =12345+111111+1111111+11111111
        =123456+1111111+11111111
        =1234567+11111111
        =12345678
    Answer:1+11+111+1111+11111+111111+1111111+11111111=12345678
[2/3 Formula]
    Work: Calculate the value of equation 1.2345×2.345+2.469×3.8275 .
    Question type: Mathematical calculation
    Solution:
          1.2345×2.345+2.469×3.8275
        =2.894903+2.469×3.8275
        =2.894903+9.450098
        =12.345001
    Answer:1.2345×2.345+2.469×3.8275=12.345001
[3/3 Formula]
    Work: Calculate the value of equation 1-3+3^2-3^3+3^4-3^5+3^6-3^7+3^8-3^9+3^10 .
    Question type: Mathematical calculation
    Solution:
          1-3+3^2-3^3+3^4-3^5+3^6-3^7+3^8-3^9+3^10
        =1-3+9-3^3+3^4-3^5+3^6-3^7+3^8-3^9+3^10
        =1-3+9-27+3^4-3^5+3^6-3^7+3^8-3^9+3^10
        =1-3+9-27+81-3^5+3^6-3^7+3^8-3^9+3^10
        =1-3+9-27+81-243+3^6-3^7+3^8-3^9+3^10
        =1-3+9-27+81-243+729-3^7+3^8-3^9+3^10
        =1-3+9-27+81-243+729-2187+3^8-3^9+3^10
        =1-3+9-27+81-243+729-2187+6561-3^9+3^10
        =1-3+9-27+81-243+729-2187+6561-19683+3^10
        =1-3+9-27+81-243+729-2187+6561-19683+59049
        =-2+9-27+81-243+729-2187+6561-19683+59049
        =7-27+81-243+729-2187+6561-19683+59049
        =-20+81-243+729-2187+6561-19683+59049
        =61-243+729-2187+6561-19683+59049
        =-182+729-2187+6561-19683+59049
        =547-2187+6561-19683+59049
        =-1640+6561-19683+59049
        =4921-19683+59049
        =-14762+59049
        =44287
    Answer:1-3+3^2-3^3+3^4-3^5+3^6-3^7+3^8-3^9+3^10=44287

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