find the sum of 9 + 99 + 999 + 9999
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Answered by
0
Answer:
9+99+999+9999
11,106
Step-by-step explanation:
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Answered by
3
Step-by-step explanation:
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9 can be written as 10 - 1
99 can be written as 100 - 1
...................
Therefore,
9+99+999+9999=(10-1)+(100-1)+(1000-1)+(10000-1)
10+100+1000+10000 - 4 = 10(10^4-1)/(10-1) - 4 =10×9999/9 - 4 = 10×1111 - 4 = 11110 - 4 = 11106
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