Math Problem Statement

how to represent -11/4 on a number line

Solution

To represent 114-\frac{11}{4} on a number line, follow these steps:

  1. Convert the fraction to a mixed number (optional but helpful for understanding): 114=234-\frac{11}{4} = -2 \frac{3}{4} This means 114-\frac{11}{4} is located at -2 and 34\frac{3}{4} between -2 and -3.

  2. Identify the whole numbers: Place the whole numbers on the number line: -3, -2, -1, 0, 1, 2, etc.

  3. Divide the segment between -3 and -2 into 4 equal parts: Since the denominator is 4, each segment between two consecutive whole numbers should be divided into 4 equal parts.

  4. Count 3 parts from -3 towards -2: Start from -3 and move right by 3 parts. Each part represents 14\frac{1}{4}, so moving 3 parts right from -3 places you at 234-2 \frac{3}{4}.

  5. Mark the point 114-\frac{11}{4}: This point will be 234-2 \frac{3}{4}, which is three-quarters of the way from -3 to -2.

Here's a visual representation:

   -3         -2         -1          0          1
   |----|----|----|----|----|----|----|----|----|
  -3   -2.75  -2.5  -2.25  -2
               ^
               |
          -2 3/4  or  -11/4

Summary

  • 114-\frac{11}{4} is equivalent to 234-2 \frac{3}{4}.
  • Identify whole numbers -3 and -2 on the number line.
  • Divide the segment between -3 and -2 into 4 equal parts.
  • Move 3 parts to the right from -3 to locate 234-2 \frac{3}{4}.

Would you like any further details or have any questions?

Here are five questions you might want to ask next:

  1. How to convert improper fractions to mixed numbers?
  2. What are some tips for dividing a number line into equal parts?
  3. How do you represent 75\frac{7}{5} on a number line?
  4. Can you explain how to add fractions with different denominators?
  5. What are common mistakes to avoid when working with fractions?

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

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Math Problem Analysis

Mathematical Concepts

Number Line Representation
Fractions

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6