Problem

Order these numbers from least to greatest.
\[
\frac{23}{5},-\sqrt{19}, 4.56, \sqrt{21}
\]

Note that for this question you can use your mouse to drag the numbers into their positions.

Answer

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Answer

\(\boxed{-\sqrt{19}, 4.56, \sqrt{21}, \frac{23}{5}}\) are the numbers in order from least to greatest.

Steps

Step 1 :First, convert all the numbers into a common format to compare them. Convert all the numbers into decimal format.

Step 2 :The fraction \(\frac{23}{5}\) can be converted into decimal by dividing 23 by 5.

Step 3 :The square roots can be calculated using a calculator.

Step 4 :After converting all the numbers into decimal format, compare them and order them from least to greatest.

Step 5 :The numbers in decimal format are -4.358898943540674, 4.56, 4.58257569495584, 4.6.

Step 6 :Order these numbers from least to greatest.

Step 7 :\(\boxed{-\sqrt{19}, 4.56, \sqrt{21}, \frac{23}{5}}\) are the numbers in order from least to greatest.

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