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AMC8 1998

AMC8 1998 · Q7

AMC8 1998 · Q7. It mainly tests Decimals.

$100 \times 19.98 \times 1.998 \times 1000 =$
$100 \times 19.98 \times 1.998 \times 1000 = $
(A) $(1.998)^2$ $(1.998)^2$
(B) $(19.98)^2$ $(19.98)^2$
(C) $(199.8)^2$ $(199.8)^2$
(D) $(1998)^2$ $(1998)^2$
(E) $(19980)^2$ $(19980)^2$
Answer
Correct choice: (D)
正确答案:(D)
Solution
Use the associative property to group as follows: $(100 \times 19.98) \times (1.998 \times 1000) = 1998 \times 1998 = (1998)^2$.
使用结合律分组如下:$(100 \times 19.98) \times (1.998 \times 1000) = 1998 \times 1998 = (1998)^2$。
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