Locating -8 on the Number Line

To locate -8 on the number line, we need to understand the concept of positive and negative integers and their representation on a vertical number line.

Understanding Positive and Negative Integers

Integers are whole numbers that can be positive, negative, or zero. Positive integers are greater than zero, while negative integers are less than zero. Zero is neither positive nor negative.

Representation of Integers on a Number Line

A number line is a line that represents the set of real numbers. It helps us visualize the order and magnitude of numbers. On a number line, positive integers are represented to the right of zero, while negative integers are represented to the left of zero.

Locating -8 on the Number Line

To locate -8 on the number line, we can use the information given in the question, which states that point D is at 8.

1. Identify the position of point D:
- Point D is at 8 on the number line.

2. Understand the symmetry of the number line:
- The number line is symmetric about zero. This means that for every positive integer on the number line, there is a corresponding negative integer at an equal distance on the other side of zero.

3. Determine the distance between point D and zero:
- As point D is at 8, the distance between point D and zero is 8 units.

4. Apply the symmetry to locate -8:
- Since the distance between point D and zero is 8 units, we can locate -8 by moving 8 units to the left of zero on the number line.

5. Locate point -8:
- By moving 8 units to the left of zero, we can locate point -8 on the number line.

Conclusion

In conclusion, if point D is at 8 on the number line, then point -8 can be located by moving 8 units to the left of zero. The concept of symmetry on the number line helps us understand the relationship between positive and negative integers and their representation.

384 x 74