Number Systems (9 Mathematics)
Number systems encompass natural numbers, whole numbers, integers, rational, and irrational numbers. Understanding the properties and representation of the
TL;DR: Number systems encompass natural numbers, whole numbers, integers, rational, and irrational numbers. Understanding the properties and representation o…
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Number systems encompass natural numbers, whole numbers, integers, rational, and irrational numbers. Understanding the properties and representation of the
Number Systems MCQs with Answers & Explanations
Q1. Which of the following is a whole number but not a natural number?
- 1
- 0 ✓ (correct)
- -1
- 2
Q2. A rational number can be expressed as:
- p × q
- p ÷ q where q = 0
- p/q where p and q are integers and q ≠ 0 ✓ (correct)
- √(p/q)
Q3. √9 is:
- Irrational
- Rational ✓ (correct)
- Neither rational nor irrational
- Not a real number
Q4. Which of the following is an irrational number?
- √4
- √9
- √10 ✓ (correct)
- √16
Q5. The decimal representation of 1/6 is:
- 0.16
- 0.1̄6̄
- 0.1666... ✓ (correct)
- 0.166
Q6. On a number line, integers are:
- Only positive numbers
- Only on one side of zero
- Symmetrically placed about zero ✓ (correct)
- Not equally spaced
Q7. Which set of numbers is closed under subtraction?
- Natural numbers
- Whole numbers
- Integers ✓ (correct)
- Rational numbers
Q8. The set {-2, -1, 0, 1, 2} represents:
- Natural numbers
- Whole numbers
- Integers ✓ (correct)
- Rational numbers
Q9. Which of the following is NOT a real number?
- √-1 ✓ (correct)
- √2
- 0
- π
Q10. The decimal expansion of 22/7 is:
- 3.14
- 3.142857142857... ✓ (correct)
- 3.1̄4̄2̄8̄5̄7̄
- Non-terminating and non-repeating
Frequently Asked Questions
How are rational and irrational numbers different?
Rational numbers can be expressed as p/q (where p, q are integers and q ≠ 0) and have terminating or repeating decimal expansions. Irrational numbers cannot be expressed as fractions and have non-terminating, non-repeating decimal expansions.
What is the difference between natural numbers and whole numbers?
Natural numbers start from 1 and include {1, 2, 3, ...}. Whole numbers include zero and all natural numbers: {0, 1, 2, 3, ...}. The main difference is that whole numbers include zero.
More 9 Mathematics MCQs
- Coordinate Geometry
- Arithmetic Progressions
- Circles
- Surface Areas and Volumes
- Trigonometry (Applications Case Study)
- Probability (Case Study)
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