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By rounding each number to the nearest whole number, estimate the solution: (2.9^(2)xx4.4)/(11.2-4.65)

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By rounding each number to the nearest whole number, estimate the solution: (2.9^(2)xx4.4)/(11.2-4.65)

By rounding each number to the nearest whole number, estimate the solution: (2.9^(2)xx4.4)/(11.2-4.65)

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ElizaProfessional · Tutor for 6 years

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<p> 5.65</p>

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<p></p><br /><ol><br /> <li>First, we are asked to estimate the solution by rounding each number to the nearest whole number.</li><br /> <li>Rounding the numbers:</li><br /> <ul><br /> <li>\(2.9\) rounds to \(3\)</li><br /> <li>\(4.4\) rounds to \(4\)</li><br /> <li>\(11.2\) rounds to \(11\)</li><br /> <li>\(4.65\) rounds to \(5\)</li><br /> </ul><br /> <li>Substitute the rounded numbers into the expression:</li><br /> <li>\(\frac{3^{2} \times 4}{11-5}\)</li><br /> <li>Calculate the numerator: \(3^{2} \times 4 = 9 \times 4 = 36\)</li><br /> <li>Calculate the denominator: \(11-5 = 6\)</li><br /> <li>Divide the numerator by the denominator: \(\frac{36}{6} = 6\)</li><br /> <li>However, the exact calculation of the original expression is approximately \(5.65\). The discrepancy arises because we rounded the numbers for estimation.</li><br /></ol>
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