Acres to miles: conversion problem (book error?)

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The discussion centers on converting acres to square meters, specifically addressing the discrepancy between a calculated value of 4286 m² from Wolfram Alpha and the book's solution of 4.05 x 10³ m². The user attempts to clarify the conversion process, noting that 1 acre equals 1/640 of a square mile and that 1 mile equals 1609 meters. The confusion arises from the calculation method used, as the user questions the accuracy of Wolfram Alpha's result. Ultimately, the correct conversion should yield approximately 4045.13 m², indicating a potential error in the online tool's calculation. The conversation highlights the importance of verifying conversion methods in mathematical problems.
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Homework Statement



Problem 2.2 An acre is defined such that 640 acres = 1 mi2. How many square meters
are in 1 acre?

Homework Equations



Solution From Table 2.1,
1 mi = 1.609 km = 1609 m
1 acre = 1/640 mi ^2

The Attempt at a Solution



My solution comes from wolfram alpha
4286 m^2

BOOK SOLUTION: 4.05 X 10^3 m^2

my on a calculator: 4045.13

So, why did wolfram get it wrong?
(1/604)(1609 m)^2 --> wolfram
 
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Bio-Hazard said:
So, why did wolfram get it wrong?
(1/604)(1609 m)^2 --> wolfram

Can you see it?
 
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