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

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

1. What is the closure property of multiplication of integers?

Ans. The closure property of multiplication states that when you multiply any two integers, the result is always an integer. For example, if you multiply -3 and 4, the product is -12, which is also an integer.

2. How does the distributive property work in multiplication of integers?

Ans. The distributive property states that for any integers a, b, and c, the equation a × (b + c) = (a × b) + (a × c) holds true. This means you can distribute the multiplication over addition. For example, 2 × (3 + 4) = 2 × 3 + 2 × 4 = 6 + 8 = 14.

3. Can you provide an example of the closure property with negative integers?

Ans. Yes! For instance, if we take the integers -5 and -2, their product is (-5) × (-2) = 10, which is also an integer. This demonstrates the closure property of multiplication for negative integers.

4. How does the distributive property apply when multiplying a negative integer by a sum?

Ans. When multiplying a negative integer by a sum, the distributive property still applies. For example, if we have -3 × (2 + 5), we can distribute it: -3 × (2 + 5) = -3 × 2 + -3 × 5 = -6 - 15 = -21.

5. Is the product of two integers always positive or negative?

Ans. No, the product of two integers can be positive, negative, or zero. Specifically, multiplying two positive integers or two negative integers results in a positive product, while multiplying a positive integer by a negative integer results in a negative product. If either integer is zero, the product is zero.

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