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Which of the following is the identity element under addition?
- a)1
- b)-1
- c)0
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Which of the following is the identity element under addition?a)1b)-1c...
Zero is called the identity for the addition of rational numbers.
Example: 2/3 + 0 = 2/3
Example: 2/3 + 0 = 2/3
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Which of the following is the identity element under addition?a)1b)-1c...
Identity Element under Addition
The identity element under addition is the number that when added to any other number does not change its value. In other words, it is the number that leaves other numbers unchanged when added to them.
Definition of Identity Element
The identity element is a number e that satisfies the following property for all numbers a:
a + e = e + a = a
This property is also known as the additive identity property.
Options and Explanation
a) 1: Adding 1 to any number changes its value, so 1 is not the identity element under addition.
b) -1: Adding -1 to any number changes its value, so -1 is not the identity element under addition.
c) 0: Adding 0 to any number does not change its value, so 0 is the identity element under addition.
d) None of these: The correct answer is option c) 0, as it satisfies the definition of the identity element under addition.
Conclusion
In conclusion, the identity element under addition is the number that does not change the value of other numbers when added to them. This number is 0, as it satisfies the definition of the identity element.
The identity element under addition is the number that when added to any other number does not change its value. In other words, it is the number that leaves other numbers unchanged when added to them.
Definition of Identity Element
The identity element is a number e that satisfies the following property for all numbers a:
a + e = e + a = a
This property is also known as the additive identity property.
Options and Explanation
a) 1: Adding 1 to any number changes its value, so 1 is not the identity element under addition.
b) -1: Adding -1 to any number changes its value, so -1 is not the identity element under addition.
c) 0: Adding 0 to any number does not change its value, so 0 is the identity element under addition.
d) None of these: The correct answer is option c) 0, as it satisfies the definition of the identity element under addition.
Conclusion
In conclusion, the identity element under addition is the number that does not change the value of other numbers when added to them. This number is 0, as it satisfies the definition of the identity element.
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Community Answer
Which of the following is the identity element under addition?a)1b)-1c...
Hi
The correct option in C and your right
The explanation : 0 is the identity element of addition because an identity element means when we do any operation to a set of numbers with the identity we get the same number.
identity element for multiplication is 1 as 8*1=8 the number itself
and according to your question. In addition 0+10000=10000 the number itself
So 0 is the identity element under addition
Hope your satisfied with the answer :)
The correct option in C and your right
The explanation : 0 is the identity element of addition because an identity element means when we do any operation to a set of numbers with the identity we get the same number.
identity element for multiplication is 1 as 8*1=8 the number itself
and according to your question. In addition 0+10000=10000 the number itself
So 0 is the identity element under addition
Hope your satisfied with the answer :)
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Which of the following is the identity element under addition?a)1b)-1c)0d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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