Math Problem Statement

Identify the decimals labeled with the letters A and B on the scale below.

Solution

The scale in the image runs from 0 to 2, with A and B marked at specific points. The question asks to identify the decimal values corresponding to points A and B on this number line.

Here is the breakdown:

  1. The interval between 0 and 2 is divided into 4 equal parts.

    • Since there are 4 divisions, each part represents 24=0.5\frac{2}{4} = 0.5.
  2. Point A is located at the first tick after 0, which represents 0.50.5.

  3. Point B is located at the third tick after 0, which represents 1.51.5.

Thus:

  • Letter A represents 0.50.5.
  • Letter B represents 1.51.5.

Do you have any questions or would you like further details?

Here are 5 related questions to deepen your understanding:

  1. How would the positions change if the number line went from 0 to 4 instead of 0 to 2?
  2. What is the decimal value of a point exactly halfway between 1 and 2 on this number line?
  3. If another point, C, was placed between A and B, what would its decimal value be?
  4. How would you determine the value of A and B if the scale had 8 equal divisions instead of 4?
  5. Can you convert the values for A and B into fractions?

Tip: Always check how many divisions a number line is split into, as this helps you accurately determine the value at each tick mark.

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Math Problem Analysis

Mathematical Concepts

Decimals
Number Line

Formulas

Division of number line segments

Theorems

Number line division theorem

Suitable Grade Level

Grades 4-6