Closure Property
Closure Property
Closure Property:
The closure property states that for any two rational numbers a and b, a – b is also a rational number. The result is a rational number. So the rational numbers are closed under subtraction.
1) Addition of Rational Numbers : The closure property states that for any two rational numbers a and b, a + b is also a rational number.
Example: Verify closure property for addition on
Solution:
The result is a rational number. So we say that rational numbers are closed under addition.
2) Subtraction of Rational Numbers : The closure property states that for any two rational numbers a and b, a – b is also a rational number.
Example: Verify closure property for subtraction on
Solution: Is also a rational numberThe result is a rational number. So the rational numbers are closed under subtraction.
3) Multiplication of Rational Numbers : The closure property states that for any two rational numbers a and b, a × b is also a rational number.
Example: Verify closure property for multiplication on
Solution: The result is a rational number. So rational numbers are closed under multiplication.
4) Division of Rational Numbers : The closure property states that for any two rational numbers a and b, a ÷ b is also a rational number.
Example: Verify closure property for multiplication on
Solution: The result is a rational number. But we know that any rational number a, a ÷ 0 is not defined. So rational numbers are not closed under division. But if we exclude 0, then all the rational numbers are closed under division.
The result of the following expression on simplification will be _______________. | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [20]
My experience with Abhyas Academy has been very good. When I was not in Abhyas whenever teacher ask questions I could not speak it confidently but when I came in Abhyas, my speaking skills developed and now I am the first one to give the answer of teachers question.
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Barkha Arora
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Manish Kumar
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Om Umang
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Cheshta
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8thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
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Yogansh Nyasi
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