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Properties of Multiplication of Integers(Closure, Distributive Property) Video Lecture | Mathematics (Maths) Class 7

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FAQs on Properties of Multiplication of Integers(Closure, Distributive Property) Video Lecture - Mathematics (Maths) Class 7

1. What is closure in the context of multiplication of integers?
Closure refers to the property that states that when two integers are multiplied, the result is always an integer. In other words, the product of any two integers is always an integer. For example, when multiplying -2 and 3, the result is -6, which is also an integer.
2. How does the distributive property apply to the multiplication of integers?
The distributive property states that when multiplying a number by the sum of two other numbers, it is equivalent to multiplying the number separately by each of the two numbers and then adding the products together. This property applies to the multiplication of integers as well. For example, when multiplying -3 by the sum of 4 and 5, we can distribute the multiplication as (-3 * 4) + (-3 * 5), which simplifies to -12 + (-15), resulting in -27.
3. Is closure applicable to all operations involving integers?
No, closure is not applicable to all operations involving integers. While closure holds true for the multiplication of integers, it does not hold true for division. When dividing two integers, the result may not always be an integer. For example, dividing 5 by 2 results in 2.5, which is not an integer.
4. Can the distributive property be used with any two integers?
Yes, the distributive property can be used with any two integers. It is a fundamental property of multiplication and addition that holds true for all integers. Whether the integers are positive, negative, or a combination of both, the distributive property can be applied to simplify expressions.
5. How does the distributive property help in simplifying multiplication of integers?
The distributive property allows us to break down a multiplication expression into simpler parts, making it easier to calculate the result. By distributing the multiplication over addition or subtraction, we can simplify the expression by multiplying each term separately and then performing the necessary addition or subtraction. This property is particularly useful when dealing with complex expressions or algebraic equations involving multiplication of integers.
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Distributive Property) Video Lecture | Mathematics (Maths) Class 7

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