Math Problem Statement

Place the fractions on the number line as shown in the image, using the given fraction options: 1/5, -2/5, -4/5, 1/2, 3/5, 1/4.

Solution

The image provided is a number line with several marked points, and it appears that there are empty boxes below each marked position where appropriate fractions or values need to be placed. Here is how we can interpret the positions and match the values:

  1. The number line ranges from -1 to 1, with intermediate markings.
  2. Based on typical fractions provided, let's identify each position relative to zero, which appears centered.

Matching Values to Positions

Given values:

  • 15\frac{1}{5}
  • 25-\frac{2}{5}
  • 45-\frac{4}{5}
  • 12\frac{1}{2}
  • 35\frac{3}{5}
  • 14\frac{1}{4}

The most straightforward approach:

  • Positions to the left of zero (negative side):

    • The first position closest to zero on the left likely corresponds to 25-\frac{2}{5}.
    • The second position further to the left likely corresponds to 45-\frac{4}{5}.
  • Positions to the right of zero (positive side):

    • The first position closest to zero likely corresponds to 15\frac{1}{5}.
    • The next position likely corresponds to 14\frac{1}{4}.
    • The next position after that likely corresponds to 35\frac{3}{5}.
    • The farthest right position likely corresponds to 12\frac{1}{2}.

Final Placement:

  1. First position left of zero: 25-\frac{2}{5}
  2. Second position left of zero: 45-\frac{4}{5}
  3. First position right of zero: 15\frac{1}{5}
  4. Second position right of zero: 14\frac{1}{4}
  5. Third position right of zero: 35\frac{3}{5}
  6. Fourth position right of zero: 12\frac{1}{2}

Would you like a further breakdown of the reasoning, or do you have any other questions?


Related Questions:

  1. What is the significance of fractions between -1 and 1 on a number line?
  2. How do we determine fractional distances from zero on a number line?
  3. Why are negative fractions placed to the left and positive to the right?
  4. What are some strategies to estimate fractions on a number line quickly?
  5. How can mixed numbers and improper fractions be placed on a number line?

Tip: When comparing fractions to place on a number line, convert them to decimals for a clearer sense of their relative positions.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Number Lines
Fraction Comparison
Positive and Negative Fractions

Formulas

Understanding positions of fractions on a number line

Theorems

Number line placement for rational numbers

Suitable Grade Level

Grades 5-6