Problem: 1075×104=\dfrac{10^{7}}{5 \times 10^{4}}=5×104107=
Answer Choices:
A. .002.002.002 B. .2.2.2 C. 202020 D. 200200200 E. 200020002000
Solution:
1075×104=10×1065×104=2×102=200.\dfrac{10^{7}}{5 \times 10^{4}}=\dfrac{10 \times 10^{6}}{5 \times 10^{4}}=2 \times 10^{2}= 200. 5×104107=5×10410×106=2×102=200.
OR\textbf{OR} OR
1075×104=1035=10005=200.\dfrac{10^{7}}{5 \times 10^{4}}=\dfrac{10^{3}}{5}=\dfrac{1000}{5}=200. 5×104107=5103=51000=200.
Answer: D\boxed{D}D.
The problems on this page are the property of the MAA's American Mathematics Competitions