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Chapter 5: Problem 54

In the following exercises, locate each number on a number line. $$-0.9$$

Short Answer

Expert verified
-0.9 is located between -1 and 0, slightly to the right of -1.

Step by step solution

01

- Understand the Number

Recognize that the number given is -0.9. It is a negative decimal number.
02

- Draw the Number Line

Draw a horizontal line and label it with evenly spaced increments, including both positive and negative numbers. Ensure it extends to at least -1 and 1.
03

- Locate -0.9

Identify the position of -0.9. Since it is between -1 and 0, find a point closer to -1 and mark it slightly to the right of -1 to accurately represent -0.9.
04

- Label the Point

Clearly label the point you have marked on the number line with -0.9.

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Key Concepts

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

negative decimal number
Negative decimal numbers are numbers with a value less than zero and have a decimal point. They are often used to represent quantities below zero such as temperatures, elevations, or financial losses. For example, -0.9 is a negative decimal number. The '-' sign indicates it is less than zero, and the decimal point helps to show it's not a whole number.
When dealing with negative decimal numbers, it is important to understand how they fit into the number line and their relative positions compared to other numbers.
number line drawing
Drawing a number line is a simple and effective way to visualize the positions of different numbers. Here鈥檚 a step-by-step guide to draw a number line for our example:
  • Draw a horizontal line on your paper or digital screen.
  • Begin by marking evenly spaced points on the line. These points could be increments of 1 (such as -2, -1, 0, 1, 2), and don't forget to label them.
  • Ensure you include enough increments to represent the negative, zero, and positive regions.
By following these steps, you can create a number line that helps you easily locate decimal numbers like -0.9.
labeling points
Labeling points on a number line is crucial for clarity and understanding. Once you've drawn your number line and marked the standard increments, it's time to locate and label your specific point:
  • Find the segment between which your number falls. For instance, -0.9 is between -1 and 0.
  • Determine the exact position: since -0.9 is closer to -1, you will mark a point slightly to the right of -1.
  • Label this point clearly with -0.9. Proper labeling ensures that anyone looking at the number line can easily identify the number's position.
This method helps in visualizing where the number stands relative to others and aids in better understanding negative decimal numbers.

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