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Chapter 1: Problem 32

Graph each group of numbers on a number line. $$ -5,-3,-2,0,4 $$

Short Answer

Expert verified
Mark points at -5, -3, -2, 0, and 4 on a number line.

Step by step solution

01

- Draw the Number Line

Begin by drawing a horizontal line. This will be the number line. Mark evenly spaced points along the line and label them with integers. Include at least the numbers from -6 to 5 to ensure all given numbers can be accurately placed.
02

- Identify and Mark the Numbers

Identify each number from the group -5, -3, -2, 0, 4. Then place a dot above or below the position on the number line corresponding to each of these numbers.
03

- Review the Number Line

Ensure that each number is correctly placed on the number line. Double-check that all points are aligned with their corresponding integers on the line.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding the Number Line
A number line is a simple, visual way to display numbers in their correct order. It is drawn as a horizontal line with points that are evenly spaced apart. Typically, these points represent integers, which can be positive, negative, or zero. When drawing a number line, you want to ensure it's long enough to include all the numbers you need to plot. For example, if you need to graph the numbers -5, -3, -2, 0, and 4, your number line should extend at least from -6 to 5.
  • Start with a clean, horizontal line.
  • Mark evenly spaced points along the line.
  • Label the points with corresponding integers.
This helps in visually understanding the position of numbers relative to zero and each other.
Graphing Integers on a Number Line
Once you have your number line ready, the next step is to graph the integers. This simply means marking specific points on the line to represent each number. Whether a number is positive or negative will determine its position relative to zero.
To reactively place your integers:
  • Identify each integer in the set; for example, -5, -3, -2, 0, and 4.
  • Find the correct position for each number on the number line.
  • Put a clear dot above or below each position.
This method makes it easy to visualize the order and spacing of different integers.
How to Plot Points Correctly
Plotting points on a number line is straightforward if you follow the steps correctly. Accuracy in plotting these points is crucial for ensuring that the number line conveys the correct information.
Here's a simple step-by-step guide:
  • First, identify the number from the set you are graphing.
  • Match this number to its position on the line, considering if it's positive or negative.
  • Place a dot directly above or below this position to mark it clearly.
Double-check your work to make sure each point matches the corresponding integer and is spaced evenly. This way, you'll ensure that all data is accurately represented on the number line.

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Most popular questions from this chapter

Solve each problem. The lowest temperature ever recorded in Tennessee was \(-32^{\circ} \mathrm{F}\). The highest temperature ever recorded there was \(145^{\circ} \mathrm{F}\) more than the lowest. What was this highest temperature?

In September, Jeffery Cooper began with a checking account balance of 904.89 Dollar. His checks and deposits for September are as follows: $$ \begin{array}{|l|c|} \hline \text { Checks } & \text { Deposits } \\ \$ 41.29 & \$ 80.59 \\ \$ 13.66 & \$ 276.13 \\ \$ 84.40 & \\ \hline \end{array} $$ Assuming no other transactions, what was his account balance at the end of September?

The two tables show the heights of some selected mountains and the depths of some selected trenches. Use the information given to answer. \( \)\begin{array}{|l|c|}\hline \text { Mountain } & {\text { Height (in feet) }} \\\ {\text { Foraker }} & {17,400} \\ {\text { Wilson }} & {14,246} \\\ {\text { Pikes Peak }} & {14,110} \\ \hline\end{array} $$ \begin{array}{|l|c|}\hline\text {} & {\text { Depth }( \text { in feet } } \\ {\text { Trench }} & {\text { as a negative number }} \\ {\text { Philippine }} & {-32,995} \\ {\text { Cayman }} & {-24,721} \\ {\text { Java }} & {-23,376} \\ \hline \end{array} $$ What is the difference between the height of Pikes Peak and the depth of the Java Trench?

Perform each indicated operation. $$ (8-1)-12 $$

Write each sentence as an equation, using \(x\) as the variable. Then find the solution from the set of integers between \(-12\) and \(12,\) inclusive. See Example \(9 .\) 6 less than a number is 4
See all solutions

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