CBSE Class 8 > Class 8 Notes > Mathematics (Maths) > Worksheet Questions & Answers: Rational Numbers
Worksheet Questions & Answers: Rational Numbers
1. Verify that:
(ii)
2. Find:
3. Find:
4. Write the additive inverse of:
(i) 7/19
(ii) -21/112
5. Verify that -(-p) = p for p = -11/31
6. Find: 
Answers
1. (i) Both expressions simplify to
, which means they are the same.
(ii)Both expressions simplify to 
, which means they are the same.
2. -125/462
3. 1/2
4.
(i) -7/19
(ii) 21/112
5.
We want to verify the equation -(-p) = p, where p = -11/31.
By negating a negative number, we get its positive value, so -(-p) simplifies to p.
Substituting p = -11/31 into the equation, we have:
-(-p) = -(-(-11/31))
Applying the rule of double negation, we get:
-(-p) = -(11/31)
On the right side of the equation, p = -11/31.
Comparing both sides, we see that -(-p) simplifies to -11/31, which matches the value of p.
Therefore, -(-p) = p holds true for p = -11/31.
6.
The document Worksheet Questions & Answers: Rational Numbers is a part of the Class 8 Course Mathematics (Maths) Class 8.
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FAQs on Worksheet Questions & Answers: Rational Numbers
| 1. How do I identify whether a number is rational or irrational in Class 8 Maths? |  |
Ans. A rational number can be expressed as p/q where p and q are integers and q ≠ 0, while an irrational number cannot. Rational numbers include fractions, decimals that terminate or repeat, and whole numbers. Irrational numbers like √2 and π have non-terminating, non-repeating decimals. Students can practise identifying these using flashcards and MCQ tests to strengthen conceptual clarity.
| 2. What's the difference between positive and negative rational numbers on the number line? | |
Ans. Positive rational numbers lie to the right of zero on the number line, while negative rational numbers lie to the left. Both types follow the same rules for ordering and comparison. A rational number's position depends on its numerator and denominator relationship. Visual representations through mind maps help students grasp this spatial concept effectively.
| 3. How do I add and subtract rational numbers with different denominators? | |
Ans. To add or subtract rational numbers with different denominators, find the least common multiple (LCM) of the denominators first. Convert each fraction using the LCM as the common denominator, then add or subtract the numerators while keeping the denominator unchanged. Simplify the result to its lowest form. Worksheets with step-by-step solved examples reinforce this procedural skill.
| 4. Why do we need to simplify rational numbers, and how does it help in exams? | |
Ans. Simplifying rational numbers reduces them to their simplest form by dividing both numerator and denominator by their greatest common divisor (GCD). This prevents calculation errors, makes comparison easier, and ensures answers match expected formats in CBSE examinations. Simplified forms also reveal equivalent rational numbers clearly. Practising with worksheet questions builds speed and accuracy.
| 5. Can I multiply and divide rational numbers using the same method, or is there a difference? | |
Ans. Multiplication of rational numbers involves multiplying numerators together and denominators together directly. Division requires multiplying the first rational number by the reciprocal of the second. Both operations follow similar simplification rules afterward. Understanding reciprocals is crucial here-they're rational numbers flipped upside down, helping students avoid common mistakes during problem-solving.
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Document Description: Worksheet Questions & Answers: Rational Numbers for Class 8 2026 is part of Mathematics (Maths) Class 8 preparation. The notes and questions for Worksheet Questions & Answers: Rational Numbers have been prepared according to the Class 8 exam syllabus. Information about Worksheet Questions & Answers: Rational Numbers covers topics like and Worksheet Questions & Answers: Rational Numbers Example, for Class 8 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Worksheet Questions & Answers: Rational Numbers.
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