Respuesta :

sylvain96

Answer:

-5/3, -0.1, 0.7, √2 and √5

Step-by-step explanation:

To start ordering these items, we first need to have a common point of comparison... so we'll get an approximation of their decimal value.  No need to be very precise, just have a rough estimate:

√5: roughly 2.2

-0.1:  -0.1

-5/3: -1.66

0.7: 0.7

√2: roughly  1.4

Now that we have the same comparing point (a decimal value), it's easy to sort them from the smallest value to the greatest value:

-5/3, -0.1, 0.7, √2 and √5

Of course, √2 is smaller than √5

gmany

Answer:

[tex]\large\boxed{-\dfrac{5}{3},\ -0.1,\ 0.7,\ \sqrt2,\ \sqrt5}[/tex]

Step-by-step explanation:

[tex]\sqrt5\\\\-0.1=-\sqrt{0.1^2}=-\sqrt{0.01}\\\\-\dfrac{5}{3}=-\sqrt{\left(\dfrac{5}{3}\right)^2}=-\sqrt{\dfrac{25}{9}}=-\sqrt{2\dfrac{7}{9}}\\\\0.7=\sqrt{0.7^2}=\sqrt{0.49}\\\\\sqrt2\\\\-\sqrt{2\dfrac{7}{9}}<-\sqrt{0.01}<\sqrt{0.49}<\sqrt2<\sqrt5[/tex]

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