Math Problem Statement

Identify a decimal and a fraction or mixed number in simplest form for each point: A, B, C, and D.

Solution

In this image, we are given a number line and asked to identify a decimal and a fraction (or mixed number) for each of the labeled points: A, B, C, and D.

Let's identify each point:

  • Point A:
    Point A is exactly halfway between 0 and 1.
    Decimal: 0.50.5
    Fraction: 12\frac{1}{2}

  • Point B:
    Point B is the midpoint between 0.5 and 1, which is three-fourths of the way from 0 to 1.
    Decimal: 0.750.75
    Fraction: 34\frac{3}{4}

  • Point C:
    Point C is exactly at 1 on the number line.
    Decimal: 1.01.0
    Fraction: 11

  • Point D:
    Point D is at 1.5, which is halfway between 1 and 2.
    Decimal: 1.51.5
    Fraction: 1121 \frac{1}{2} or 32\frac{3}{2}


Would you like more details on any specific point, or have any questions?

Here are 5 follow-up questions:

  1. How can you convert a decimal like 0.75 into a fraction?
  2. Why is 0.5 equivalent to 12\frac{1}{2}?
  3. What is the significance of mixed numbers, like 1121 \frac{1}{2}?
  4. Can fractions greater than 1 be simplified into mixed numbers? How?
  5. How can you read a number line to determine exact fractional values?

Tip: Always reduce fractions to their simplest form by dividing the numerator and the denominator by their greatest common factor (GCF).

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Math Problem Analysis

Mathematical Concepts

Number Line
Fractions
Decimals

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6