Math Problem Statement

Find the distance between K and L on the number line below.

Solution

The problem is asking for the distance between two points, KK and LL, on the number line.

Solution:

  1. Identify the positions of KK and LL on the number line:

    • KK is located at 8-8.
    • LL is located at 4-4.
  2. Calculate the distance between KK and LL by finding the absolute difference between these two values: Distance=8(4)=8+4=4=4\text{Distance} = | -8 - (-4) | = |-8 + 4| = | -4 | = 4

Thus, the distance between KK and LL is 44.

Would you like a deeper explanation of how distances are calculated on a number line, or do you have any questions?

Here are five related questions to expand your understanding:

  1. How would the distance change if KK was at 10-10 and LL remained at 4-4?
  2. What is the distance between two points, M=3M = 3 and N=5N = -5, on the number line?
  3. If KK is shifted 3 units to the right, where would it be, and what would the new distance to LL be?
  4. How is calculating distance on a number line similar to finding the absolute value of a difference?
  5. What is the relationship between the distance formula and absolute value?

Tip: When calculating distance on a number line, always take the absolute value of the difference to ensure a positive result.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Number Line
Distance Calculation
Absolute Value

Formulas

Distance = | x1 - x2 |

Theorems

Absolute Value Distance on Number Line

Suitable Grade Level

Grades 5-7