coached example\nhow can you write -√5, -2 1/5, -2.31, and -1.3³ in order from greatest to least?\nhow do…

coached example\nhow can you write -√5, -2 1/5, -2.31, and -1.3³ in order from greatest to least?\nhow do you express -√5 as an approximate decimal to three decimal places?\nwrite an inequality to compare that decimal and -2.31.\nhow do you express -2 1/5 as a decimal?\nwrite an inequality to compare that decimal to -√5 and -2.31.\nhow do you express -1.3³ as a decimal?\nwrite an inequality to compare that decimal to -√5, -2 1/5, and -2.31.\nhow can you write these 4 decimals in order from greatest to least?\nhow can you write the original numbers in order from greatest to least?

coached example\nhow can you write -√5, -2 1/5, -2.31, and -1.3³ in order from greatest to least?\nhow do you express -√5 as an approximate decimal to three decimal places?\nwrite an inequality to compare that decimal and -2.31.\nhow do you express -2 1/5 as a decimal?\nwrite an inequality to compare that decimal to -√5 and -2.31.\nhow do you express -1.3³ as a decimal?\nwrite an inequality to compare that decimal to -√5, -2 1/5, and -2.31.\nhow can you write these 4 decimals in order from greatest to least?\nhow can you write the original numbers in order from greatest to least?

Answer

Explanation:

Step1: Approximate $-\sqrt{5}$

We know that $\sqrt{5}\approx2.236$, so $-\sqrt{5}\approx - 2.236$.

Step2: Compare $-\sqrt{5}$ and $-2.31$

Since $-2.236>-2.31$, the inequality is $-\sqrt{5}>-2.31$.

Step3: Convert $-2\frac{1}{5}$ to decimal

$-2\frac{1}{5}=-\frac{11}{5}=-2.2$.

Step4: Compare $-2\frac{1}{5}$ with $-\sqrt{5}$ and $-2.31$

We have $-2.2>-2.236>-2.31$, so the inequality is $-2\frac{1}{5}>-\sqrt{5}>-2.31$.

Step5: Calculate $-1.3^{3}$

$-1.3^{3}=-1.3\times1.3\times1.3=-2.197$.

Step6: Compare $-1.3^{3}$ with $-\sqrt{5}, - 2\frac{1}{5},-2.31$

We get $-1.3^{3}>-2\frac{1}{5}>-\sqrt{5}>-2.31$.

Step7: Order the original numbers

The original numbers in order from greatest to least are $-1.3^{3},-2\frac{1}{5},-\sqrt{5},-2.31$.

Answer:

$-1.3^{3},-2\frac{1}{5},-\sqrt{5},-2.31$