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Which of the following equation shows the identity property of addition?
- a)(6 + 8) + 3 = 6 + (8 + 3)
- b)0 + 3 = 3
- c)9 + 1 = 1 + 9
- d)1 + 2 = 3
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Which of the following equation shows the identity property of additio...
Identity property: t = 0 + t, Adding zero does not change a number. Here 0 + 3 = 3 shows the identity property where adding zero does not change the sum.
Most Upvoted Answer
Which of the following equation shows the identity property of additio...
Explanation:
To find the equation that shows the identity property of addition, we need to understand what the identity property of addition is.
The identity property of addition states that when you add zero to any number, the sum is that number itself. In other words, the identity element for addition is zero.
Now let's analyze each option to determine which one shows the identity property of addition.
a) (6 + 8) + 3 = 6 + (8 + 3)
This equation shows the associative property of addition, not the identity property. The associative property states that the grouping of numbers does not affect the sum.
b) 0 + 3 = 3
This equation shows the identity property of addition. When we add zero to any number, the sum is that number itself. In this case, when we add zero to 3, the sum is 3.
c) 9 + 1 = 1 + 9
This equation shows the commutative property of addition, not the identity property. The commutative property states that the order of the numbers does not affect the sum.
d) 1 + 2 = 3
This equation shows a simple addition problem, but it does not demonstrate the identity property of addition. The sum of 1 and 2 is 3, but it does not involve the identity element of zero.
Conclusion:
The equation that shows the identity property of addition is 0 + 3 = 3. This equation demonstrates that when we add zero to any number, the sum is that number itself.
To find the equation that shows the identity property of addition, we need to understand what the identity property of addition is.
The identity property of addition states that when you add zero to any number, the sum is that number itself. In other words, the identity element for addition is zero.
Now let's analyze each option to determine which one shows the identity property of addition.
a) (6 + 8) + 3 = 6 + (8 + 3)
This equation shows the associative property of addition, not the identity property. The associative property states that the grouping of numbers does not affect the sum.
b) 0 + 3 = 3
This equation shows the identity property of addition. When we add zero to any number, the sum is that number itself. In this case, when we add zero to 3, the sum is 3.
c) 9 + 1 = 1 + 9
This equation shows the commutative property of addition, not the identity property. The commutative property states that the order of the numbers does not affect the sum.
d) 1 + 2 = 3
This equation shows a simple addition problem, but it does not demonstrate the identity property of addition. The sum of 1 and 2 is 3, but it does not involve the identity element of zero.
Conclusion:
The equation that shows the identity property of addition is 0 + 3 = 3. This equation demonstrates that when we add zero to any number, the sum is that number itself.
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Which of the following equation shows the identity property of addition?a)(6 + 8) + 3 = 6 + (8 + 3)b)0 + 3 = 3c)9 + 1 = 1 + 9d)1 + 2 = 3Correct answer is option 'B'. Can you explain this answer?
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