Math Problem Statement
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Solution
To plot the numbers , , and on a number line, you should follow these steps:
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Draw a horizontal line and mark it with evenly spaced tick marks to represent whole numbers. For example, label the tick marks with , , , etc.
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Plot the number 1: Since 1 is a whole number, place it exactly on the tick mark labeled 1.
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Plot the fraction : This fraction is slightly less than 1. Divide the interval between 0 and 1 into 6 equal parts. Count 5 parts from 0 and place at that position.
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Plot the fraction : This fraction is slightly more than 1. Since is just a little over 1, you need to extend the line slightly beyond the tick mark for 1. Divide the interval between 1 and 2 into 7 equal parts, and place at the first division after 1.
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Lengthen the tick marks of whole numbers to make them stand out.
Would you like a detailed explanation of any of these steps? Here are some related questions:
- How do you convert improper fractions to mixed numbers?
- What is the difference between proper and improper fractions?
- How do you find common denominators to compare fractions?
- What is the process for adding and subtracting fractions?
- How do you plot decimals on a number line?
Tip: When working with fractions on a number line, it can be helpful to convert improper fractions to mixed numbers to better understand their placement.
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Math Problem Analysis
Mathematical Concepts
Number Line
Fractions
Improper Fractions
Formulas
None
Theorems
None
Suitable Grade Level
Grades 5-7
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