Math Problem Statement

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Solution

To plot the numbers 11, 56\frac{5}{6}, and 87\frac{8}{7} on a number line, you should follow these steps:

  1. Draw a horizontal line and mark it with evenly spaced tick marks to represent whole numbers. For example, label the tick marks with 00, 11, 22, etc.

  2. Plot the number 1: Since 1 is a whole number, place it exactly on the tick mark labeled 1.

  3. Plot the fraction 56\frac{5}{6}: This fraction is slightly less than 1. Divide the interval between 0 and 1 into 6 equal parts. Count 5 parts from 0 and place 56\frac{5}{6} at that position.

  4. Plot the fraction 87\frac{8}{7}: This fraction is slightly more than 1. Since 87\frac{8}{7} is just a little over 1, you need to extend the line slightly beyond the tick mark for 1. Divide the interval between 1 and 2 into 7 equal parts, and place 87\frac{8}{7} at the first division after 1.

  5. Lengthen the tick marks of whole numbers to make them stand out.

Would you like a detailed explanation of any of these steps? Here are some related questions:

  1. How do you convert improper fractions to mixed numbers?
  2. What is the difference between proper and improper fractions?
  3. How do you find common denominators to compare fractions?
  4. What is the process for adding and subtracting fractions?
  5. How do you plot decimals on a number line?

Tip: When working with fractions on a number line, it can be helpful to convert improper fractions to mixed numbers to better understand their placement.

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Math Problem Analysis

Mathematical Concepts

Number Line
Fractions
Improper Fractions

Formulas

None

Theorems

None

Suitable Grade Level

Grades 5-7