Representing 1/√2 on a Number Line

To represent 1/√2 on a number line, follow the steps below:

Step 1: Draw a number line

Draw a straight line on a piece of paper and label it with numbers. For example, you can label the line from -5 to 5 with increments of 1.

Step 2: Locate the point for 1/√2

To locate the point for 1/√2, divide 1 by the square root of 2. Simplifying the expression gives you 1/√2 = √2/2. This means that the point for 1/√2 lies halfway between 0 and 1 on the number line.

Step 3: Draw a point at the location

Draw a point at the location of 1/√2 on the number line. This point represents the value of 1/√2.

Step 4: Label the point

Label the point with the value of 1/√2. This will help you identify the point on the number line.

Step 5: Double-check your work

Double-check your work to make sure that the point is in the correct location. You can also use a calculator to verify that 1/√2 is equal to √2/2.

Step 6: Optional - Label the number line

If you want to label the number line, you can add labels to the positive and negative ends of the number line. This will help you identify the values of other points on the number line.

Conclusion:

In conclusion, representing 1/√2 on a number line is a simple process. Draw a number line, locate the point for 1/√2, draw a point at the location, label the point, double-check your work, and optionally label the number line. This will help you visualize the value of 1/√2 on a number line.