Question

plot the following points on the number line: $varphi$, $-\frac{2}{5}$, and $sqrt{12}$. note: $varphiapprox1.62$

Explanation:

Step1: Approximate $\frac{2}{5}$

$\frac{2}{5}=0.4$, mark a point between 0 and 1 closer to 0 on the number - line.

Step2: Approximate $\sqrt{12}$

We know that $3^2 = 9$ and $4^2=16$. Since $12$ is between $9$ and $16$, $\sqrt{12}$ is between 3 and 4. More precisely, $\sqrt{12}\approx3.46$, so mark a point between 3 and 4 closer to 3.

Step3: Locate $\varphi\approx1.62$

Mark a point between 1 and 2 closer to 2 on the number - line.

Answer:

The points $\frac{2}{5}\approx0.4$, $\varphi\approx1.62$, and $\sqrt{12}\approx3.46$ are marked on the number - line as described above.