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Which property is represented by a + b = c (a whole number) with respect to addition?
- a)Associative property.
- b)Commutative property.
- c)Closure property.
- d)Additive identity.
Correct answer is option 'C'. Can you explain this answer?
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Which property is represented by a + b = c (a whole number) with respe...
Closure Property: The closure property means that a set is closed for some mathematical operation. For example, the set of even natural numbers, [2, 4, 6, 8, . . .], is closed with respect to addition because the sum of any two of them is another even natural number, which is also a member of the set.
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Which property is represented by a + b = c (a whole number) with respe...
Closure Property with respect to Addition
The closure property is one of the basic properties of numbers in mathematics. It states that if we perform an operation on any two numbers, the result will always be a number of the same type. For example, if we add two whole numbers, the result will always be a whole number. Similarly, if we multiply two rational numbers, the result will always be a rational number.
In the given equation a b = c, we know that a and b are whole numbers. If we perform the addition operation on them, the result will also be a whole number. Therefore, this equation represents the closure property with respect to addition.
Other Properties of Addition
Apart from the closure property, there are several other properties of addition that are used in mathematics. Some of the common ones are:
1. Commutative Property: This property states that changing the order of the numbers being added does not change the result. For example, a + b = b + a.
2. Associative Property: This property states that changing the grouping of the numbers being added does not change the result. For example, (a + b) + c = a + (b + c).
3. Additive Identity: This property states that adding zero to any number does not change the value of that number. For example, a + 0 = a.
4. Additive Inverse: This property states that for any number a, there exists another number -a such that a + (-a) = 0.
Understanding these properties is essential for solving mathematical problems and developing a strong foundation in mathematics.
The closure property is one of the basic properties of numbers in mathematics. It states that if we perform an operation on any two numbers, the result will always be a number of the same type. For example, if we add two whole numbers, the result will always be a whole number. Similarly, if we multiply two rational numbers, the result will always be a rational number.
In the given equation a b = c, we know that a and b are whole numbers. If we perform the addition operation on them, the result will also be a whole number. Therefore, this equation represents the closure property with respect to addition.
Other Properties of Addition
Apart from the closure property, there are several other properties of addition that are used in mathematics. Some of the common ones are:
1. Commutative Property: This property states that changing the order of the numbers being added does not change the result. For example, a + b = b + a.
2. Associative Property: This property states that changing the grouping of the numbers being added does not change the result. For example, (a + b) + c = a + (b + c).
3. Additive Identity: This property states that adding zero to any number does not change the value of that number. For example, a + 0 = a.
4. Additive Inverse: This property states that for any number a, there exists another number -a such that a + (-a) = 0.
Understanding these properties is essential for solving mathematical problems and developing a strong foundation in mathematics.
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Which property is represented by a + b = c (a whole number) with respe...
Closure property because when we add or subtract two whore no. the result is again another whole no .
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Which property is represented by a + b = c (a whole number) with respect to addition?a)Associative property.b)Commutative property.c)Closure property.d)Additive identity.Correct answer is option 'C'. Can you explain this answer?
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