Question

Represent √9.3 on the number line

Answer 1

Step 1: Approximation of \( \sqrt{9.3} \)

First, find the square root of \( 9.3 \). By approximation: \[ \sqrt{9.3} \approx 3.05 \] This is because \( \sqrt{9} = 3 \) and \( \sqrt{10} \approx 3.16 \). Since 9.3 is between 9 and 10, we estimate \( \sqrt{9.3} \) to be a little more than 3.

Step 2: Locating \( \sqrt{9.3} \) on the Number Line

To represent \( \sqrt{9.3} \approx 3.05 \) on the number line: - First, mark the integer points 3 and 4. - Since \( 3.05 \) is slightly greater than 3, place a point just to the right of 3, closer to it than to 4.

Step 3: Visualization on the Number Line

The point \( 3.05 \) will be located a little bit to the right of 3, which can be visualized as:

   

Conclusion:

The square root of \( 9.3 \), which is approximately \( 3.05 \), is represented slightly to the right of 3 on the number line.