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Multiplication Made Easier, Examples: Properties of Multiplication of Integers Video Lecture | Advance Learner Course: Mathematics (Maths) Class 6
FAQs on Multiplication Made Easier, Examples: Properties of Multiplication of Integers Video Lecture - Advance Learner Course: Mathematics (Maths) Class 6
| 1. What are the properties of multiplication of integers? |  |
Ans. The properties of multiplication of integers are:
- Closure property: When two integers are multiplied, the result is always an integer.
- Commutative property: The order of the integers does not affect the result of multiplication. For example, a * b = b * a.
- Associative property: The grouping of integers does not affect the result of multiplication. For example, (a * b) * c = a * (b * c).
- Identity property: The product of any integer and 1 is the integer itself. For example, a * 1 = a.
- Zero property: The product of any integer and 0 is 0. For example, a * 0 = 0.
| 2. How does the closure property apply to the multiplication of integers? | |
Ans. The closure property states that when two integers are multiplied, the result is always an integer. This means that the product of any two integers will always be another integer. For example, if we multiply 3 and -2, the result is -6, which is an integer. Therefore, the closure property applies to the multiplication of integers.
| 3. Can you give an example of the commutative property of multiplication of integers? | |
Ans. Yes, the commutative property of multiplication states that the order of the integers does not affect the result of multiplication. For example, if we have 2 * 3, the result is 6. Similarly, if we have 3 * 2, the result is also 6. Therefore, the commutative property holds true in both cases.
| 4. How does the associative property work in the multiplication of integers? | |
Ans. The associative property states that the grouping of integers does not affect the result of multiplication. This means that when we have multiple integers to multiply, we can group them in any way without changing the final result. For example, if we have (2 * 3) * 4, the result is 24. Similarly, if we have 2 * (3 * 4), the result is also 24. Therefore, the associative property holds true in both cases.
| 5. What is the identity property of multiplication in the context of integers? | |
Ans. The identity property of multiplication states that the product of any integer and 1 is the integer itself. In other words, multiplying an integer by 1 does not change its value. For example, if we multiply 5 by 1, the result is 5. Similarly, if we multiply -2 by 1, the result is still -2. Therefore, the identity property of multiplication holds true for integers.
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