Class 7 Exam > Class 7 Videos > Mathematics (Maths) Class 7 > Properties of Multiplication of Integers(Closure, Distributive Property)
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 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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