Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Task 2 - Represent each of the negative rational numbers on the number line.

i. [tex]\(\frac{-5}{7}\)[/tex]

ii. [tex]\(\frac{-3}{12}\)[/tex]

iii. [tex]\(\frac{-2}{5}\)[/tex]

iv. [tex]\(\frac{-13}{32}\)[/tex]

v. [tex]\(\frac{-4}{5}\)[/tex]

vi. [tex]\(\frac{3}{8}\)[/tex]

vii. [tex]\( \frac{22}{-51}\)[/tex]

(Note: vi. [tex]\(\frac{3}{8}\)[/tex] is a positive rational number and should be omitted if only negative rational numbers are required.)

Sagot :

GinnyAnswer
Sure, let's represent each of the given rational numbers on the number line. Here's a step-by-step breakdown of each number:

1. [tex]$(-5) / 7$[/tex]:
- [tex]$(-5) / 7$[/tex] is a negative rational number.
- Its decimal representation is approximately -0.7142857142857143.
- On the number line, this would be slightly to the left of -0.7.

2. [tex]$(-3) / 12$[/tex]:
- [tex]$(-3) / 12$[/tex] is a negative rational number.
- Simplifying this fraction gives us [tex]$(-1) / 4$[/tex] which is -0.25.
- On the number line, this would be positioned at -0.25.

3. [tex]$(-2) / 5$[/tex]:
- [tex]$(-2) / 5$[/tex] is a negative rational number.
- Its decimal representation is -0.4.
- On the number line, this would be positioned at -0.4.

4. [tex]$3 / 8$[/tex]:
- [tex]$3 / 8$[/tex] is a positive rational number.
- Its decimal representation is 0.375.
- On the number line, this would be positioned at 0.375.

5. [tex]$(-4) 5$[/tex] (seems to be an unclear or incorrect format):
- It appears there might be a typo here, as it doesn't represent a standard rational expression.
- Without an accurate representation, we cannot correctly place this on the number line.

6. [tex]$22(-51)$[/tex] (also seems to be an unclear or incorrect format):
- This seems to be another incorrectly formatted expression.
- It doesn't form a valid rational number or expression in its current state, so it cannot be correctly placed on the number line.

7. [tex]$(-13) / 32$[/tex]:
- [tex]$(-13) / 32$[/tex] is a negative rational number.
- Its decimal representation is approximately -0.40625.
- On the number line, this would be positioned at -0.40625.

### Summary on the Number Line:
- Negative numbers on the left side:
- -0.7142857142857143 (for [tex]$(-5) / 7$[/tex])
- -0.25 (for [tex]$(-3) / 12$[/tex])
- -0.4 (for [tex]$(-2) / 5$[/tex])
- -0.40625 (for [tex]$(-13) / 32$[/tex])

- Positive number on the right side:
- 0.375 (for [tex]$3 / 8$[/tex])

The potentially unclear or incorrect representations cannot be accurately placed on the number line without further clarification.
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.