Basic College Mathematics (10th Edition)

Published by Pearson

Chapter 2 - Multiplying and Dividing Fractions - 2.5 Multiplying Fractions - 2.5 Exercises - Page 151: 55

Answer

Approximately 1760 NY stores are in large to medium areas.

Work Step by Step

The purpose of rounding is to simplify the math while coming up with a result that is reasonably close to the exact result. Front end rounding gives a result that is less exact than other rounding, and when working with fractions may not lead to the simplest math. Taking the denominator into account when rounding can help. $\frac{4}{5}$ of the 2202 supermarkets in NY are in medium to large areas. Rounding to the hundreds position results in a number that is divisible by the denominator, 5, and a number that is closer to the actual number of stores. $2202 \approx 2200$ $2200 \times \frac{4}{5}$ = $\frac{2200}{1} \times \frac{4}{5}$ = $\frac{8800}{5}$ = $\frac{8800 \div 5}{5 \div 5}$ = $\frac{1760}{1}$ = 1760

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