AMC 8 Practice Questions Continued
10-24
What is the correct ordering of the three numbers 108 , 512 ,
and 224 ?
(A) 224 < 108 < 512
(C) 512 < 224 < 108
(E) 108 < 224 < 512
(B) 224 < 512 < 108
(D) 108 < 512 < 224
2010 AMC 8, Problem #24—
“Express each number either in factors or with other bases.”
Solution
Answer (A):
224 = (28 ) · (216 ) = (28 ) · (48 ) < (28 ) · (58 ) = 108 = (44 ) · (58 ) < (54 ) · (58 ) = 512 .
Difficulty: Hard
CCSS-M: 6.EE.1. Write and evaluate numerical expressions involving whole-number exponents.
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