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Closure property is satisfied by whole numbers with respect to which of these operations?
- a)Addition and Subtraction.
- b)Addition and Division.
- c)Addition and Multiplication.
- d)Multiplication and Division.
Correct answer is option 'C'. Can you explain this answer?
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Closure property is satisfied by whole numbers with respect to which o...
Addition and multiplication of whole numbers satisfy closure property.
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Closure property is satisfied by whole numbers with respect to which o...
Closure property is satisfied by whole numbers with respect to Addition and Multiplication.
Explanation:
Closure property states that the result of an operation performed on any two numbers of a set should always be a number that belongs to the same set. In simpler terms, it means that the set is closed under the given operation.
Let's consider each option one by one and see if the closure property is satisfied or not:
a) Addition and Subtraction:
If we take two whole numbers, say 2 and 3, and perform subtraction, we get -1 which is not a whole number. Hence, the closure property is not satisfied for subtraction.
b) Addition and Division:
If we take two whole numbers, say 4 and 2, and perform division, we get 2 which is a whole number. But if we take 4 and 3 and perform division, we get a fraction which is not a whole number. Hence, the closure property is not satisfied for division.
c) Addition and Multiplication:
If we take two whole numbers, say 2 and 3, and perform addition, we get 5 which is a whole number. Similarly, if we take 2 and 3 and perform multiplication, we get 6 which is also a whole number. Hence, the closure property is satisfied for both addition and multiplication.
d) Multiplication and Division:
If we take two whole numbers, say 4 and 2, and perform multiplication, we get 8 which is a whole number. But if we take 4 and 3 and perform division, we get a fraction which is not a whole number. Hence, the closure property is not satisfied for division.
Therefore, the correct option is (c) Addition and Multiplication as both operations satisfy the closure property for whole numbers.
Explanation:
Closure property states that the result of an operation performed on any two numbers of a set should always be a number that belongs to the same set. In simpler terms, it means that the set is closed under the given operation.
Let's consider each option one by one and see if the closure property is satisfied or not:
a) Addition and Subtraction:
If we take two whole numbers, say 2 and 3, and perform subtraction, we get -1 which is not a whole number. Hence, the closure property is not satisfied for subtraction.
b) Addition and Division:
If we take two whole numbers, say 4 and 2, and perform division, we get 2 which is a whole number. But if we take 4 and 3 and perform division, we get a fraction which is not a whole number. Hence, the closure property is not satisfied for division.
c) Addition and Multiplication:
If we take two whole numbers, say 2 and 3, and perform addition, we get 5 which is a whole number. Similarly, if we take 2 and 3 and perform multiplication, we get 6 which is also a whole number. Hence, the closure property is satisfied for both addition and multiplication.
d) Multiplication and Division:
If we take two whole numbers, say 4 and 2, and perform multiplication, we get 8 which is a whole number. But if we take 4 and 3 and perform division, we get a fraction which is not a whole number. Hence, the closure property is not satisfied for division.
Therefore, the correct option is (c) Addition and Multiplication as both operations satisfy the closure property for whole numbers.
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Closure property is satisfied by whole numbers with respect to which o...
C is correct option
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