1988 AMC 8 Problem 2 — Solution | LIVE by Po-Shen Loh

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1988 AMC 8 Problem 2

Below is the professionally curated solution for Problem 2 of the 1988 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1988 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

Concepts:fraction decimal

Difficulty rating: 450

2.

What is the product $8 \times .25 \times 2 \times .125?$

$\dfrac{1}{8}$

$\dfrac{1}{4}$

$\dfrac{1}{2}$

$1$

$2$

Solution:

Write the decimals as fractions: $8 \times \dfrac14 \times 2 \times \dfrac18.$

Grouping, $\left(8 \times \dfrac18\right)\left(\dfrac14 \times 2\right)$ $= 1 \times \dfrac12$ $= \dfrac12.$

Thus, the correct answer is C .

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