Math Problem Statement

Identify the horizontal number line that shows 8/3, -5, -1.6, and 3 1/4 plotted correctly.

Solution

The image contains a math problem asking to identify the correct horizontal number line that shows four numbers:

  • 83\frac{8}{3}
  • 5-5
  • 1.6-1.6
  • 3143 \frac{1}{4}

plotted correctly.

Let's break down each number and its approximate position on the number line:

  1. 83=2.67\frac{8}{3} = 2.67 (A little less than 3, so it should be placed between 2 and 3.)
  2. 5-5 (This is a whole number, so it will be directly at -5.)
  3. 1.6-1.6 (This is slightly between -1 and -2, closer to -2.)
  4. 314=3.253 \frac{1}{4} = 3.25 (A little more than 3, so between 3 and 4.)

Based on this:

  • We need a number line that has these points placed approximately at the correct positions, as described above.
  • The correct answer from the image is highlighted and marked on the second option, which appears to place these values in the correct positions.

Do you want further details or have any questions about this?

Related Questions:

  1. What is the decimal form of fractions like 83\frac{8}{3} or 3143 \frac{1}{4}?
  2. How do you convert mixed numbers to improper fractions and vice versa?
  3. What is the process for identifying the correct location of negative numbers on a number line?
  4. How can you visually compare decimals and fractions on a number line?
  5. What are common mistakes when plotting fractions or decimals on number lines?

Tip: Always simplify fractions when possible, and convert mixed numbers to improper fractions for easy calculation.

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Math Problem Analysis

Mathematical Concepts

Number Line
Fractions
Mixed Numbers
Decimals

Formulas

Conversion of fractions to decimals: 8/3 = 2.67
Mixed number to improper fraction: 3 1/4 = 3.25

Theorems

Ordering Rational Numbers on a Number Line
Properties of Negative and Positive Numbers

Suitable Grade Level

Grades 6-8