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## Official Guide Explanation:Problem Solving #137

Background

This is just one of hundreds of free explanations I've created to the quantitative questions in The Official Guide for GMAT Review (12th ed.). Click the links on the question number, difficulty level, and categories to find explanations for other problems.

These are the same explanations that are featured in my "Guides to the Official Guide" PDF booklets. However, because of the limitations of HTML and cross-browser compatibility, some mathematical concepts, such as fractions and roots, do not display as clearly online.

Question: 137
Page: 171
Difficulty: 6 (Moderately Difficult)
Category 1: Arithmetic > Decimals >
Category 2: Arithmetic > Powers and Roots of Numbers > Powers

Explanation: Look for a way to simplify 0.0012‾ so that you can relate it more directly to the first term. One way to do that is to write 0.0012‾ in scientific notation: 1.212‾ * 10-3. Then, distribute as follows: (104-102)(1.212‾ * 10-3) = 1.212‾ * 10 - 1.212‾ * 10-1 = 12.12‾ -0.12‾ =12, choice (E).

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