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least to greatest: \[ -\frac{5}{2},-25.5 \%,-2.55,-2 \frac{2}{5} \]

Ask by Alexander Washington. in the United States
Feb 25,2025

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Answer

The numbers from least to greatest are: –2.55, –5/2, –2 2/5, –25.5%.

Solution

To order the numbers from least to greatest, it helps to convert each value to a decimal form. 1. –5/2 = –2.5 2. –25.5% = –25.5/100 = –0.255 3. –2.55 stays –2.55 4. –2 2/5 = –2.4 (since 2 2/5 = 2 + 0.4 = 2.4) Now, list them from the smallest (most negative) to the largest: • –2.55 • –2.5 • –2.4 • –0.255 Thus, written in their original forms, the order from least to greatest is:   –2.55, –5/2, –2 2/5, –25.5%

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The Deep Dive

To arrange these values from least to greatest, let's first convert them all to decimal form for easier comparison. - \(-\frac{5}{2} = -2.5\) - \(-25.5\% = -0.255\) (since \(-25.5\%\) is the same as \(-25.5/100\)) - \(-2.55\) is already in decimal form. - \(-2 \frac{2}{5} = -2.4\) (converting the mixed number to a decimal \(2 \div 5 = 0.4\), thus \(-2 - 0.4 = -2.4\)) Now, the values in decimal form are: - \(-2.5\) - \(-0.255\) - \(-2.55\) - \(-2.4\) Now, let's order these: 1. \(-2.55\) 2. \(-2.5\) 3. \(-2.4\) 4. \(-0.255\) So, arranging these from least to greatest, we get: \(-2.55, -\frac{5}{2}, -2 \frac{2}{5}, -25.5\%\)

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