Class 8 Exam > Class 8 Videos > Mathematics (Maths) Class 8 > Closure Property of Rational Numbers
Closure Property of Rational Numbers Video Lecture | Mathematics (Maths) Class 8
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FAQs on Closure Property of Rational Numbers Video Lecture - Mathematics (Maths) Class 8
| 1. What is the closure property of rational numbers? |  |
Ans. The closure property of rational numbers states that if we perform any operation (addition, subtraction, multiplication, or division) on two rational numbers, the result will also be a rational number.
| 2. Can you provide an example to illustrate the closure property of rational numbers? | |
Ans. Sure! Let's consider the rational numbers 2/3 and 5/6. If we add these two numbers, we get (2/3) + (5/6) = (4/6) + (5/6) = 9/6, which is a rational number. This example demonstrates that the sum of two rational numbers is also a rational number, proving the closure property.
| 3. Does the closure property hold for subtraction of rational numbers as well? | |
Ans. Yes, the closure property holds for subtraction of rational numbers too. Let's take an example. If we subtract the rational number 2/3 from 5/6, we get (5/6) - (2/3) = (5/6) - (4/6) = 1/6, which is a rational number. Thus, the closure property holds for subtraction as well.
| 4. Is the closure property applicable to multiplication of rational numbers? | |
Ans. Yes, the closure property is applicable to multiplication of rational numbers. For instance, if we multiply the rational numbers 3/4 and 2/5, we get (3/4) * (2/5) = 6/20, which can be simplified to 3/10. This result is a rational number, confirming the closure property for multiplication.
| 5. Does the closure property hold for division of rational numbers too? | |
Ans. No, the closure property does not hold for division of rational numbers. There may be cases where dividing two rational numbers results in an irrational number. For example, if we divide 3/4 by 2/5, we get (3/4) ÷ (2/5) = (3/4) * (5/2) = 15/8, which is not a rational number. Therefore, the closure property does not apply to division of rational numbers.
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Nov 24, 2024 Last updated |
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