Problem:
The value of the expression (29.7)(399)4(304)5β is closest to
Answer Choices:
A. .003 
B. .03 
C. .3 
D. 3 
E. 30 
Solution:
Estimate each of the quantities to obtain the approximation:
30(400)4(300)5ββ=30300β(400300β)4=10(43β)4=10(25681β)β10(31β)β3.β
Answer: Dβ.
The problems on this page are the property of the MAA's American Mathematics Competitions