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Commutative property of Integers Video Lecture - Class 7

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1. What is the commutative property of integers?
Ans. The commutative property of integers states that the order in which two integers are added or multiplied does not affect the result. In other words, when adding or multiplying integers, the numbers can be rearranged without changing the sum or product.
2. How does the commutative property apply to addition of integers?
Ans. The commutative property of addition states that for any two integers a and b, a + b = b + a. This means that the order in which the integers are added does not change the sum. For example, 3 + 5 is equal to 5 + 3, both of which give a sum of 8.
3. Does the commutative property apply to subtraction of integers?
Ans. No, the commutative property does not apply to subtraction of integers. Unlike addition, the order of subtraction does matter. For example, 5 - 3 is not equal to 3 - 5. The first expression yields a result of 2, while the second expression gives a result of -2. Therefore, subtraction is not commutative.
4. Can the commutative property be applied to multiplication of integers?
Ans. Yes, the commutative property does apply to multiplication of integers. For any two integers a and b, a * b = b * a. This means that the order in which the integers are multiplied does not change the product. For example, 2 * 4 is equal to 4 * 2, both of which give a product of 8.
5. Is the commutative property valid for all operations on integers?
Ans. No, the commutative property is not valid for all operations on integers. It only applies to addition and multiplication. Subtraction and division do not follow the commutative property. The order in which integers are subtracted or divided does affect the result.
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