Math Problem Statement
how to represent -11/4 on a number line
Solution
To represent on a number line, follow these steps:
-
Convert the fraction to a mixed number (optional but helpful for understanding): This means is located at -2 and between -2 and -3.
-
Identify the whole numbers: Place the whole numbers on the number line: -3, -2, -1, 0, 1, 2, etc.
-
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.
-
Count 3 parts from -3 towards -2: Start from -3 and move right by 3 parts. Each part represents , so moving 3 parts right from -3 places you at .
-
Mark the point : This point will be , 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
- is equivalent to .
- 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 .
Would you like any further details or have any questions?
Here are five questions you might want to ask next:
- How to convert improper fractions to mixed numbers?
- What are some tips for dividing a number line into equal parts?
- How do you represent on a number line?
- Can you explain how to add fractions with different denominators?
- 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.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Number Line Representation
Fractions
Formulas
-
Theorems
-
Suitable Grade Level
Grades 4-6