Locating Root 100 on a Number Line

To locate the square root of 100 on a number line, we need to understand the concept of square roots and how to interpret them on a number line. The square root of a number is a value that, when multiplied by itself, gives the original number.

Understanding Square Roots
- The square root of a positive number always has two solutions: a positive and a negative value.
- For example, the square root of 100 is ±10, as both 10 and -10 multiplied by themselves give 100.

Using a Number Line
A number line is a visual representation of numbers arranged in order from left to right. It allows us to easily locate and compare numbers.

Locating the Square Root of 100 on a Number Line
1. Draw a number line with a sufficient range to include the number 100. Label the line with appropriate intervals.
2. Identify the midpoint of the number line, which represents 0.
3. Mark the positive square root of 100, which is +10, to the right of 0. Place a dot or small line segment at this point.
4. Mark the negative square root of 100, which is -10, to the left of 0. Place another dot or small line segment at this point.
5. Connect the dots or line segments to form a line segment between -10 and +10.
6. Label this line segment with the square root symbol (√) and the number 100.

Visual Representation on a Number Line
-10 ---------------------------------- 0 ---------------------------------- +10
√100

Interpreting the Result
On the number line, the square root of 100 is represented by the line segment between -10 and +10, with the midpoint at 0. The line segment shows the range of values that, when squared, result in 100. The positive square root is +10, and the negative square root is -10.

By following these steps and using a number line, you can accurately locate the square root of 100 and visually represent it.

√100 is a rational number since it's a oerfect square of 10.to locate or point √100 on number line you need to point 10. both are same