Dive deep into the world of rational numbers with this set of MCQs. Understand the nuanced differences between rational numbers and their counterparts. The questions, designed based on the latest CBSE syllabus and the NCERT curriculum, ensure comprehensive coverage of “Rational Numbers” from Class 8 Maths, making it simpler for students to grasp and apply in real-world scenarios.
1. Which of the following is a rational number?
Answer:
Explanation:
A rational number can be expressed in the form of p/q where p and q are integers and q ≠ 0.
2. What is the standard form of a rational number?
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Explanation:
The standard form of a rational number ensures the numerator and denominator have no common factors except 1.
3. If two rational numbers have the same denominator, then their sum is:
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Explanation:
If a/b and c/b are two rational numbers, their sum is (a+c)/b.
4. The additive inverse of the rational number 5/6 is:
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Explanation:
The additive inverse of a number is the number that, when added, results in zero. So, 5/6 + (-5/6) = 0.
5. The multiplicative inverse of 7/8 is:
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Explanation:
The multiplicative inverse of a number is the number that, when multiplied, gives a product of 1.
6. Which of the following is an example of a negative rational number?
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Explanation:
Among the options provided, -5/9 is the only number that has a negative value.
7. Which of the following numbers is located to the right of -3 on the number line?
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Explanation:
On the number line, numbers to the right are greater. -2.5 is greater than -3.
8. The rational number 0 is:
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Explanation:
0 is neutral, i.e., it is neither positive nor negative.
9. The product of two rational numbers is always:
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Explanation:
The product of two rational numbers is always a rational number.
10. If a and b are both negative rational numbers, then their product is:
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Explanation:
The product of two negative numbers is positive.
11. The rational number between 1/3 and 1/2 is:
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Explanation:
2/5 lies between 1/3 and 1/2.
12. Which of the following is the smallest positive rational number?
Answer:
Explanation:
There is no smallest positive rational number. For any positive fraction, we can always find a smaller one by increasing the denominator.
13. What is the result of (-a/b) ÷ (-c/d)?
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Explanation:
Dividing two negative numbers yields a positive result.
14. A rational number is always:
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Explanation:
Every rational number is a real number, but not every real number is rational.
15. The sum of any rational number and its additive inverse is:
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Explanation:
The sum of a number and its additive inverse is always 0.
16. Which of the following numbers is an integer?
Answer:
Explanation:
Among the given options, only -4 is an integer.
17. The number of rational numbers between any two rational numbers is:
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Explanation:
There are infinite rational numbers between any two given rational numbers.
18. Which of the following cannot be a denominator in a rational number?
Answer:
Explanation:
A rational number cannot have 0 as its denominator.
19. The decimal representation of a rational number:
Answer:
Explanation:
The decimal representation of a rational number either terminates (like 0.5 for 1/2) or recurs (like 0.333… for 1/3).
20. The sum of the rational number -5/7 and its reciprocal is:
Answer:
Explanation:
Sum = -5/7 + (-7/5) = -12/7.