Math Problem Statement

What is the length of PQ?

Solution

To determine the length of PQPQ, we use the formula for the distance between two points on a number line:

PQ| P - Q |

Here, point PP is at 4-4, and point QQ is at 00. So, the length of PQPQ is:

40=4=4| -4 - 0 | = | -4 | = 4

Thus, the length of PQPQ is 4 units.

Would you like a more detailed explanation or have any other questions?

Here are some related questions to think about:

  1. How do you find the distance between two points on a coordinate plane?
  2. What would the length of PQPQ be if QQ was at 55?
  3. Can the length of any line segment ever be negative?
  4. How does this method apply to points that are not on a number line but in a plane?
  5. How would you calculate the midpoint of PQPQ?

Tip: Always remember that the length of a segment is the absolute value of the difference between the two points.

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Math Problem Analysis

Mathematical Concepts

Number Line
Distance Between Points

Formulas

| P - Q | = Distance between two points

Theorems

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Suitable Grade Level

Grades 6-8