Question

represent $-sqrt{23}$ on the number line.
place a point on the number line to represent the given number.

Explanation:

Step1: Estimate $\sqrt{23}$ value

We know $\sqrt{16}=4$ and $\sqrt{25}=5$, so $4<\sqrt{23}<5$. Calculate $\sqrt{23}\approx4.796$.

Step2: Find $-\sqrt{23}$ value

Take the negative of the estimate: $-\sqrt{23}\approx-4.796$.

Step3: Locate on number line

The number line has marks at -8.00, -6.00, -4.00, -2.00, 0.00. Each interval between marks is 2 units, split into 2 smaller segments, so each small segment is 1 unit. $-4.796$ is ~0.8 units left of -4.00, between -6.00 and -4.00, closer to -4.00.

Answer:

The point should be placed approximately 0.8 units to the left of the -4.00 mark on the number line, between -6.00 and -4.00, to represent $-\sqrt{23}\approx-4.796$.