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 | |||
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