Which describes the positions on a horizontal number line?
A. All points to the left of one are positive when one is negative.
B. All points to the right of one are positive when one is negative.
C. All points to the left of zero are negative.
D. All points to the right of zero are negative.

Analyze each statement to determine its validity.
Statement 1 and 2 are contradictory to the standard number line.
Statement 3 aligns with the standard number line: points to the left of zero are negative.
Statement 4 contradicts the standard number line: points to the right of zero are positive.
The correct description is: All points to the left of zero are negative. ​

Explanation

Analyzing the Statements We need to determine which statement accurately describes the positions on a horizontal number line. Let's analyze each statement.

Evaluating Statement 1 Statement 1: All points to the left of one are positive when one is negative. This statement is contradictory. If 1 is negative, then numbers to the left of 1 (e.g., 0, -1, -2) should also be negative or zero, not positive.

Evaluating Statement 2 Statement 2: All points to the right of one are positive when one is negative. This statement is also contradictory. If 1 is negative, numbers to the right of 1 (e.g., 2, 3) should still be positive, but the condition that 'one is negative' doesn't change the sign of numbers greater than 1.

Evaluating Statement 3 Statement 3: All points to the left of zero are negative. This statement is consistent with the standard number line. Numbers to the left of zero (e.g., -1, -2, -3) are indeed negative.

Evaluating Statement 4 Statement 4: All points to the right of zero are negative. This statement is contradictory. Numbers to the right of zero (e.g., 1, 2, 3) are positive, not negative.

Conclusion Therefore, the correct description is: All points to the left of zero are negative.


Examples
Understanding number lines is crucial in various real-life scenarios. For instance, when dealing with temperatures, values below zero are negative and represent freezing conditions. Similarly, in financial contexts, negative numbers indicate debt or losses, while positive numbers represent assets or gains. Visualizing numbers on a line helps in grasping these concepts intuitively, making it easier to interpret and manage real-world situations involving numerical values.

Answered by GinnyAnswer | 2025-07-03

The correct description of positions on a horizontal number line is that all points to the left of zero are negative. Statements about points to the left or right of one being positive or negative are incorrect. Thus, the chosen option is Statement C.
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Answered by Anonymous | 2025-07-04