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On a ruler with markings from 0 to 30, where each major marking is a whole number and there are 10 small divisions between each whole number, points A through K are located as follows: A=20.0, B=20.5,

Mathematics

ScanSolve AI Answer

Answer

0.5\text{0.5}

2.0\text{2.0}

3.5\text{3.5}

Step-by-step solution

6 steps

First, let's identify the position of each point on the ruler. Each major marking represents a whole number, and there are 10 small divisions between each whole number, meaning each small division is 0.1 units.

  • A is at 20.0
  • B is at 20.5
  • C is at 21.0
  • D is at 21.5
  • E is at 22.5
  • F is at 23.0
  • G is at 23.5
  • H is at 24.5
  • I is at 25.0
  • J is at 26.0
  • K is at 27.0

4) How far is it from A to B?

  1. Identify the positions of A and B.

    Position of A =20.0= 20.0
    Position of B =20.5= 20.5

  2. Calculate the distance by subtracting the initial position from the final position.

    Distance =Position of B−Position of A= \text{Position of B} - \text{Position of A}
    Distance =20.5−20.0= 20.5 - 20.0
    Distance =0.5= 0.5

    The distance from A to B is 0.5\boxed{\text{0.5}}.

    5) How far is it from D to G?

  3. Identify the positions of D and G.

    Position of D =21.5= 21.5
    Position of G =23.5= 23.5

  4. Calculate the distance.

    Distance =Position of G−Position of D= \text{Position of G} - \text{Position of D}
    Distance =23.5−21.5= 23.5 - 21.5
    Distance =2.0= 2.0

    The distance from D to G is 2.0\boxed{\text{2.0}}.

    6) How far is it from G to K?

  5. Identify the positions of G and K.

    Position of G =23.5= 23.5
    Position of K =27.0= 27.0

  6. Calculate the distance.

    Distance =Position of K−Position of G= \text{Position of K} - \text{Position of G}
    Distance =27.0−23.5= 27.0 - 23.5
    Distance =3.5= 3.5

    The distance from G to K is 3.5\boxed{\text{3.5}}.

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