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QUESTION IMAGE

list the numbers from largest to smallest: \\-3.05\\ ,\\ 150\\%\\ ,\\ \…

Question

list the numbers from largest to smallest:

\\-3.05\\ ,\\ 150\\%\\ ,\\ \frac{-7}{2}\\ ,\\ -4.9\\ ,\\ 1.25\\

Explanation:

Convert all numbers to decimals

To compare the numbers easily, we convert each value into a decimal.

  • \(-3.05\) is already a decimal: \(-3.05\)
  • \(150\%\) as a decimal: \(\frac{150}{100} = 1.5\)
  • \(\frac{-7}{2}\) as a decimal: \(-3.5\)
  • \(-4.9\) is already a decimal: \(-4.9\)
  • \(1.25\) is already a decimal: \(1.25\)

Compare the decimal values

Now we list the decimal values:

$$ -3.05, \quad 1.5, \quad -3.5, \quad -4.9, \quad 1.25 $$

We order these values from largest to smallest:

  1. \(1.5\)
  2. \(1.25\)
  3. \(-3.05\)
  4. \(-3.5\)
  5. \(-4.9\)

Write in original format

We replace each decimal with its original representation:

  • \(1.5

ightarrow 150\%\)

  • \(1.25

ightarrow 1.25\)

  • \(-3.05

ightarrow -3.05\)

  • \(-3.5

ightarrow \frac{-7}{2}\)

  • \(-4.9

ightarrow -4.9\)

Answer:

\(150\%\) , \(1.25\) , \(-3.05\) , \(\frac{-7}{2}\) , \(-4.9\)