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What are Real Numbers Video Lecture - Class 10
FAQs on What are Real Numbers Video Lecture - Class 10
| 1. What are Real Numbers? |  |
Ans. Real numbers are the set of numbers that include all the rational and irrational numbers. In other words, real numbers are the numbers that can be represented on the number line. They include positive and negative numbers, fractions, decimals, and irrational numbers, such as pi and square roots.
| 2. What is the difference between rational and irrational numbers? | |
Ans. Rational numbers are the numbers that can be expressed as a ratio of two integers, whereas irrational numbers cannot be expressed as a ratio of two integers. Irrational numbers are non-repeating and non-terminating decimals and cannot be expressed in the form of p/q, where p and q are integers.
| 3. Can a decimal be a real number? | |
Ans. Yes, a decimal can be a real number. Real numbers include all rational and irrational numbers, and decimals can be rational or irrational. For example, 0.5 is a rational number, whereas pi, which is a non-repeating and non-terminating decimal, is an irrational number.
| 4. What is the importance of real numbers in mathematics? | |
Ans. Real numbers are the foundation of mathematics, and most mathematical concepts are based on real numbers. They are used in arithmetic operations, algebra, geometry, trigonometry, calculus, and many other branches of mathematics. Real numbers are used in solving equations, finding solutions to problems, and making predictions in science, economics, and engineering.
| 5. What is the significance of real numbers in our daily lives? | |
Ans. Real numbers are used in our daily lives in many ways. They are used in measuring quantities such as time, length, weight, and temperature. They are also used in calculating distances, speeds, and areas. Real numbers are used in financial calculations, such as interest rates and stock prices. Additionally, they are used in making decisions and predictions based on statistical data.
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