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Introduction: Real Numbers Video Lecture | Mathematics (Maths) Class 10

120 videos|463 docs|105 tests

FAQs on Introduction: Real Numbers Video Lecture - Mathematics (Maths) Class 10

1. What are real numbers?
Ans. Real numbers are a set of numbers that include both rational and irrational numbers. They are represented on the number line and can be positive, negative, or zero.
2. How are real numbers different from rational numbers?
Ans. Real numbers include both rational and irrational numbers, while rational numbers are a subset of real numbers. Rational numbers can be expressed as fractions or terminating or repeating decimals, whereas real numbers include all possible numbers on the number line.
3. What are examples of real numbers?
Ans. Examples of real numbers include integers (-3, 0, 5), fractions (1/2, 3/4), decimals (1.25, 3.6), square roots of non-perfect squares (√2, √5), and irrational numbers such as π and e.
4. How do you identify if a number is a real number?
Ans. All numbers that can be represented on the number line are real numbers. If a number can be written as a fraction, terminating or repeating decimal, or an irrational number, then it is a real number.
5. Are all real numbers also whole numbers?
Ans. No, not all real numbers are whole numbers. Whole numbers are a subset of real numbers that include positive integers (0, 1, 2, 3, ...) and zero. Real numbers also include fractions, decimals, and irrational numbers, which are not considered whole numbers.
120 videos|463 docs|105 tests
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