SOLUTION: Please help me to find the product of 2^2007 and 5^2000 and then calculate the sum of the digits of the answer.Eric arrived at an answer of 11.is he correct?
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Question 767129: Please help me to find the product of 2^2007 and 5^2000 and then calculate the sum of the digits of the answer.Eric arrived at an answer of 11.is he correct? Answer by Edwin McCravy(20054) (Show Source):
22007×52000 =
22000+7×52000 =
(22000×27)×52000 =
22000×27×52000 =
22000×52000×27 =
(22000×52000)×27 =
(2×5)2000×128 =
102000×128 =
128×102000 =
(1.28×102)×22000
1.28×(102×22000)
1.28×102002
So the answer is 1280000000...0 with 2000 zeros.
So the sum of the digits is 1+2+8 = 11
Yes 11 is correct.
Edwin
