Math Problem Statement

Find FG on the number line shown. A) 5.5 B) 6.5 C) 9 D) 4.5

Solution

To solve for FGFG on the number line:

  1. First, identify the positions of points FF and GG on the number line:

    • Point FF is at 1-1.
    • Point GG is at 33.
  2. To find the distance FGFG, subtract the coordinate of FF from that of GG: FG=3(1)=3+1=4=4FG = |3 - (-1)| = |3 + 1| = |4| = 4

Thus, the distance between FF and GG is 44.

However, none of the options exactly match 4, but option D (4.5) is the closest.

Would you like any further details or clarifications?

Here are 5 related questions for you to consider:

  1. How would you find the distance between two negative points on the number line?
  2. What is the relationship between absolute value and distance on the number line?
  3. Can the distance between two points on the number line ever be negative?
  4. How does finding the distance between two points differ in 2D versus 1D (like this number line)?
  5. What does it mean if the coordinates of two points are the same?

Tip: Always take the absolute value when calculating distance on a number line to ensure the result is non-negative.

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Math Problem Analysis

Mathematical Concepts

Number Line
Absolute Value
Distance Between Two Points

Formulas

Distance formula on the number line: |x2 - x1|

Theorems

Absolute value theorem

Suitable Grade Level

Grades 6-8