Last Updated on September 6, 2024 by XAM CONTENT
Hello students, we are providing case study questions for class 7 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 7 maths. In this article, you will find case study questions for CBSE Class 7 Maths Chapter 8 Rational Numbers. It is a part of Case Study Questions for CBSE Class 7 Maths Series.
| Chapter | Rational Numbers |
| Type of Questions | Case Study Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 7 |
| Subject | Maths |
| Useful for | Class 7 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 7 Maths Chapterwise Case Study |
Case Study Questions on Rational Numbers
Questions
Passage 1:
Class VII students were asked to compare numbers. The numbers were $\frac{-14}{9}$ and -1.05. How did the student compare as there are two methods to compare. Which one did he find easier?
Difficulty Level: Medium
Q. 1. Convert – 1.05 into fraction
(a) $\frac{-21}{2}$
(b) $\frac{-21}{20}$
(c) $\frac{-21}{200}$
(d) $\frac{-21}{2000}$
Ans. Option (b) is correct.
Explanation:
$$
\begin{aligned}
-1.05 & =\frac{-105}{100} \\
& =\frac{-21}{20}
\end{aligned}
$$
Q. 2. Which is greater $\frac{-14}{9}$ or $\frac{-21}{20}$ ?
(a) $\frac{-14}{9}$
(b) $\frac{-21}{20}$
(c) Both are equal
(d) None of these
Ans. Option (b) is correct.
Explanation: $\frac{-14}{9}$ or $\frac{-21}{20} \quad$ (L.C.M. of 9, 20 is 180)
$$
\begin{aligned}
& =\frac{-280<-189}{180} \\
& =\frac{-14}{9}<\frac{-21}{20}
\end{aligned}
$$
Q. 3. Out of $\frac{-14}{9}, \frac{-21}{20}, \frac{-7}{8}$ and $\frac{-21}{25}$ which is a nonterminating decimal ?
(a) $\frac{-21}{20}$
(b) $\frac{-21}{25}$
(c) $\frac{-14}{9}$
(d) $\frac{-7}{8}$
Ans. Option (c) is correct.
Explanation: $\frac{-14}{9}$;
$$
\begin{gathered}
9) \overline{14(1.555} \\
\frac{9}{50} \\
\frac{45}{50} \\
\frac{45}{50} \\
\frac{45}{5} \\
\frac{-14}{9}=1.55=1 . \overline{5}
\end{gathered}
$$
It is a non-terminating decimal.
Q. 4. Divide $-1 \frac{1}{55} \div-5 \frac{8}{11}$
Sol. $-1 \frac{1}{55} \div-5 \frac{8}{11}$
$$
\begin{aligned}
& =\frac{-56}{55} \div \frac{-63}{11} \\
& =\frac{-56}{55} \times \frac{11}{-63} \\
& =\frac{8}{45}
\end{aligned}
$$
Q. 5. Simplify: $2+\frac{1}{3}+\frac{1}{-5}$
(Medium)
Sol. $2+\frac{1}{3}+\frac{1}{-5}$
$$
\begin{aligned}
& =\frac{2}{1}+\frac{1}{3}-\frac{1}{5} \\
& =\frac{30+5-3}{15} \\
& =\frac{32}{15}
\end{aligned}
$$
Also check
- Visualizing Solid Shapes Class 7 Case Study Questions Maths Chapter 13
- Symmetry Class 7 Case Study Questions Maths Chapter 12
- Exponents and Powers Class 7 Case Study Questions Maths Chapter 11
- Algebraic Expressions Class 7 Case Study Questions Maths Chapter 10
- Perimeter and Area Class 7 Case Study Questions Maths Chapter 9
- Rational Numbers Class 7 Case Study Questions Maths Chapter 8
- Comparing Quantities Class 7 Case Study Questions Maths Chapter 7
- Triangle and its Properties Class 7 Case Study Questions Maths Chapter 6
- Lines and Angles Class 7 Case Study Questions Maths Chapter 5
- Simple Equations Class 7 Case Study Questions Maths Chapter 4
- Data Handling Class 7 Case Study Questions Maths Chapter 3
- Fractions and Decimals Class 7 Case Study Questions Maths Chapter 2
- Integers Class 7 Case Study Questions Maths Chapter 1
Topics from which case study questions may be asked
- Rational Numbers
- Rational Numbers on a Number Line
- Rational Numbers in Standard Form
- Comparison of Rational Numbers
- Rational Numbers between Two
- Rational Numbers
- Operations on Rational Numbers
Every rational number except zero has its reciprocal.
Every rational number can be represented in decimal form.
Addition, subtraction, multiplication, division is same as fractional numbers but following the rules of integers.
Case study questions from the above given topic may be asked.
- Every natural number is a rational number but every rational number is not a natural number.
- Addition of two rational numbers is a rational number.
- Subtraction of two rational numbers is a rational number.
- Product of two rational numbers is a rational number.
- Division of two rational numbers is a rational number.
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Frequently Asked Questions (FAQs) on Rational Numbers Case Study
Q1: What are rational numbers?
A1: Rational numbers are defined as numbers that can be expressed in the form p/q​, where p and q are integers and q≠0.
Q2: What is the difference between integers and rational numbers?
A2: All integers are rational numbers because they can be written in the form of p/1 where, p is an integer. However, not all rational numbers are integers. For example, 1/2​ is a rational number but not an integer.
Q3: How do you compare two rational numbers?
A3: To compare two rational numbers, you need to express them with the same denominator. Once the denominators are the same, compare the numerators to determine which number is greater or smaller.
Q4: How are rational numbers represented on the number line?
A4: Rational numbers can be represented on the number line by converting them into decimal or fractional form. Positive rational numbers are placed to the right of zero, and negative rational numbers are placed to the left of zero.
Q5: What is the additive inverse of a rational number?
A5: The additive inverse of a rational number p/q​ is −p/q. When a rational number is added to its additive inverse, the result is zero.
Q6: Can zero be a rational number?
A6: Yes, zero is a rational number because it can be expressed as 0/1​, which fits the definition of a rational number.
Q7: How do you add or subtract rational numbers?
A7: To add or subtract rational numbers, first convert them to have a common denominator. Then add or subtract the numerators while keeping the denominator the same.
Q8: How do you multiply two rational numbers?
A8: To multiply two rational numbers, simply multiply the numerators together and the denominators together
Q9: Are there any online resources or tools available for practicing rational numbers case study questions?
A9: We provide case study questions for CBSE Class 7 Maths on our website. Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit Physics Gurukul website. they are having a large collection of case study questions for all classes.
