The number -1 is plotted on the number line below. -10 5 10

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Knowledge Check

#### The number -1 is plotted on the number line below.

A number line is illustrated with markings from -10 to 10. The number -1 is specifically plotted on this line.

---
### Answer the following questions:

**(a) Which is a point 8 units to the right of -1?**

- \( \circ \) $-1 + (-8)$
- \( \circ \) $-1 + 8$
- \( \circ \) $1 + (-8)$
- \( \circ \) $1 + 8$

**(b) Which is a point 8 units to the left of -1?**

- \( \circ \) $-1 + (-8)$
- \( \circ \) $-1 + 8$
- \( \circ \) $1 + (-8)$
- \( \circ \) $1 + 8$

---

### Explanation of the Diagram:

In the given number line diagram:
- The values start from -10 on the left and go up to 10 on the right.
- Numbers are marked in increments of 1.
- The number -1 is specified as being plotted on this line, denoted with a visual marker. 

Understanding the placement of numbers on the line will assist in answering the questions about positional shifts:
- Moving to the right on a number line indicates addition.
- Moving to the left on a number line indicates subtraction.

Use this information to solve the equations provided, paying attention to the positive and negative signs and their influence on the resulting position on the number line.
Transcribed Image Text:### Knowledge Check #### The number -1 is plotted on the number line below. A number line is illustrated with markings from -10 to 10. The number -1 is specifically plotted on this line. --- ### Answer the following questions: **(a) Which is a point 8 units to the right of -1?** - \( \circ \) $-1 + (-8)$ - \( \circ \) $-1 + 8$ - \( \circ \) $1 + (-8)$ - \( \circ \) $1 + 8$ **(b) Which is a point 8 units to the left of -1?** - \( \circ \) $-1 + (-8)$ - \( \circ \) $-1 + 8$ - \( \circ \) $1 + (-8)$ - \( \circ \) $1 + 8$ --- ### Explanation of the Diagram: In the given number line diagram: - The values start from -10 on the left and go up to 10 on the right. - Numbers are marked in increments of 1. - The number -1 is specified as being plotted on this line, denoted with a visual marker. Understanding the placement of numbers on the line will assist in answering the questions about positional shifts: - Moving to the right on a number line indicates addition. - Moving to the left on a number line indicates subtraction. Use this information to solve the equations provided, paying attention to the positive and negative signs and their influence on the resulting position on the number line.
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