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Chapter 3: Problem 353

In the following exercises, locate and label the integer on the number line. $$ 5 $$

Short Answer

Expert verified
Locate and label the fifth point to the right of zero as 5.

Step by step solution

01

- Understand the Number Line

A number line is a straight line with numbers placed at equal intervals along its length. Integers can be positive, negative, or zero and are placed at consistent distances from one another on the line.
02

- Identify the Position of the Integer

Locate the integer 5 on the number line. Positive integers are placed to the right of zero on the number line. Each step to the right represents an increase by one.
03

- Label the Integer

Find the point that corresponds to the integer 5 and label it on the number line. Make sure it is the fifth point to the right of zero.

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Key Concepts

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

Number Line
A number line is a visual representation of numbers on a straight, horizontal line. It helps us understand the position and order of numbers.
On a number line, numbers are arranged at equal intervals. This means that the distance between any two consecutive numbers is the same.
  • The center of the number line is zero.
  • Positive numbers are placed to the right of zero.
  • Negative numbers are placed to the left of zero.
Using a number line simplifies the process of adding and subtracting numbers, as well as understanding their relationships.
Positive Integers
Positive integers are all whole numbers greater than zero.
On a number line, you will find these numbers to the right of the zero.
Each position to the right of zero represents a positive integer increasing by one unit.
  • For example: 1, 2, 3, 4, and so on.
  • There are no fractions or decimals in integers.
  • Positive integers do not include zero.
When working with positive integers on a number line, they help us understand order, spacing, and value increment.
Integer Labeling
Integer labeling involves marking or identifying specific integers on a number line. This is a useful skill in math, helping you visualize and solve problems.
Follow these steps to label an integer:
  • First, understand the number you want to label.
  • Next, find zero on the number line.
  • Then, determine the direction: right for positive integers, left for negative integers.
  • Finally, count the equal intervals and label the specific integer.
For example, to find and label the integer 5:
  • Start at zero, move 5 steps to the right.
  • Mark the fifth point to the right of zero with the number 5.
Labeling helps you clearly identify and use integers in mathematics.

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