[GMAT math practice question]
Which of the following is closest to $$11^5*9^5-7*10^7?$$
$$A.\ 10^2$$
$$B.\ 10^7$$
$$C.\ 10^8$$
$$D.\ 10^9$$
$$E.\ 10^{10}$$
Which of the following is closest to
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Since 11 is close to 10 and 9 is close to 10, 11^5*9^5 is close to 10^5*10^5 = 10^10.
Since 7*10^7 is a relatively small number compared with 10^10, 11^5*9^5 - 7*10^7 is approximately equal to 10^10.
Therefore, the answer is E.
Answer: E
Since 11 is close to 10 and 9 is close to 10, 11^5*9^5 is close to 10^5*10^5 = 10^10.
Since 7*10^7 is a relatively small number compared with 10^10, 11^5*9^5 - 7*10^7 is approximately equal to 10^10.
Therefore, the answer is E.
Answer: E
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