Last Updated on July 29, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 8 maths. Assertion Reason questions are the new question format that is introduced in CBSE board. The resources for assertion reason questions are very less. So, to help students we have created chapterwise assertion reason questions for class 8 maths. In this article, you will find assertion reason questions for CBSE Class 8 Maths Chapter 1 Rational Numbers. It is a part of Assertion Reason Questions for CBSE Class 8 Maths Series.

Chapter | Rational Numbers |

Type of Questions | Assertion Reason Questions |

Nature of Questions | Competency Based Questions |

Board | CBSE |

Class | 8 |

Subject | Maths |

Useful for | Class 8 Studying Students |

Answers provided | Yes |

Difficulty level | Mentioned |

Important Link | Class 8 Maths Chapterwise Assertion Reason |

### Assertion Reason Questions on Rational Numbers

**Questions**:

Reason: Each rational number is a quotient of any two integers, while its divisor should not be zero. Thus, a number of the form $\frac{p}{q}$ where $p$ and $q$ are integers and $q \neq 0$ is a rational number.

(a) both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

(b) both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

(c) Assertion is correct but Reason is incorrect.

(d) Assertion is incorrect but Reason is correct.

** Difficulty Level:** Easy

Ans. Option (a) is correct.

Q. 2. Assertion: If $x, y, z$ be rational numbers such that $x>y$ and $y>z$, then $x>z$Reason: The sum of two rational numbers is always greater than third rational numbers.

(a) both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

(b) both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

(c) Assertion is correct but Reason is incorrect.

(d) Assertion is incorrect but Reason is correct.

** Difficulty Level:** Medium

Ans. Option (d) is correct.

### Also check

### Download eBooks for CBSE Class 8 Maths Rational Numbers

### Topics from which case study questions may be asked

- Rational Number and its identification.
- Whole Number, Natural Number and their Properties.
- Difference between Rational and Irrational Number.

Assertion reason questions from the above given topic may be asked.

### Frequently Asked Questions (FAQs) on Rational Numbers Assertion Reason

#### Q1: What are assertion-reason questions?

A1: Assertion-reason questions consist of two statements: an assertion (A) and a reason (R). The task is to determine the correctness of both statements and the relationship between them. The options usually include:

(i) Both A and R are true, and R is the correct explanation of A.

(ii) Both A and R are true, but R is not the correct explanation of A.

(iii) A is true, but R is false.

(iv) A is false, but R is true. or A is false, and R is also false.

#### Q2: Why are assertion-reason questions important in Maths?

A2: Students need to evaluate the logical relationship between the assertion and the reason. This practice strengthens their logical reasoning skills, which are essential in mathematics and other areas of study.

#### Q3: How can practicing assertion-reason questions help students?

A3: Practicing assertion-reason questions can help students in several ways:**Improved Conceptual Understanding:** It helps students to better understand the concepts by linking assertions with their reasons.**Enhanced Analytical Skills:** It enhances analytical skills as students need to critically analyze the statements and their relationships.**Better Exam Preparation:** These questions are asked in exams and practicing them can improve your performance.

#### Q4: What strategies should students use to answer assertion-reason questions effectively?

A4: Students can use the following strategies:**Understand Each Statement Separately:** Determine if each statement is true or false independently.**Analyze the Relationship:** If both statements are true, check if the reason correctly explains the assertion.

#### Q5: What are common mistakes to avoid when answering Assertion-Reason questions?

A5: Common mistakes include:

Not reading the statements carefully and missing key details.

Assuming the Reason explains the Assertion without checking the logical connection.

Confusing the order or relationship between the statements.

Overthinking and adding information not provided in the question.

#### Q6: What resources can help me practice Assertion-Reason questions?

A6: Use study guides specifically designed for Assertion-Reason questions. Online educational platforms and reference books for Class 8 Maths also offer practice questions and explanations. xamcontent.com also provides assertion reason questions for cbse class 8 maths.

#### Q7: **What are the common misconceptions students have about rational numbers, and how can they be clarified?**

A7: Common misconceptions include confusion between rational and irrational numbers, misunderstanding the concept of fractions, and errors in performing operations. These can be clarified through hands-on practice, visual representations, and providing clear explanations of concepts.

#### Q8: What are the important keywords for CBSE Class 8 Maths Rational Numbers?

A8: List of important keywords given below –**Natural Numbers: **Positive Counting number starting from 1.**Whole Number:** All natural number together with 0.**Rational Number:** Numbers which can be expressed in p/q form, where q **≠** 0 and p and q are integers.**Fraction: **Numbers which can be expressed in form of p/q but are only positive