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Verify the distributive property of multiplication of integers over addition for a=-15, b=-7 and c=13?
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Verify the distributive property of multiplication of integers over ad...
Introduction
The distributive property of multiplication over addition states that for any three integers a, b, and c, the product of a and the sum of b and c is equal to the sum of the products of a and b and a and c. In other words, a × (b + c) = (a × b) + (a × c).
In this case, we need to verify the distributive property for the given values a = -15, b = -7, and c = 13.
Verification
1. LHS: a × (b + c) = -15 × (-7 + 13)
We start by calculating the sum inside the parentheses: -7 + 13 = 6
Then, we multiply -15 by 6: -15 × 6 = -90
2. RHS: (a × b) + (a × c) = (-15 × -7) + (-15 × 13)
We calculate the products individually:
-15 × -7 = 105
-15 × 13 = -195
Then, we sum the two products: 105 + (-195) = -90
Conclusion
Both sides of the equation yield the same result -90. Therefore, we have verified that the distributive property of multiplication of integers over addition holds for the given values a = -15, b = -7, and c = 13. The LHS (left-hand side) and RHS (right-hand side) of the equation are equal, satisfying the distributive property.
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Verify the distributive property of multiplication of integers over addition for a=-15, b=-7 and c=13?
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Verify the distributive property of multiplication of integers over addition for a=-15, b=-7 and c=13? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Verify the distributive property of multiplication of integers over addition for a=-15, b=-7 and c=13? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Verify the distributive property of multiplication of integers over addition for a=-15, b=-7 and c=13?.
Verify the distributive property of multiplication of integers over addition for a=-15, b=-7 and c=13? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Verify the distributive property of multiplication of integers over addition for a=-15, b=-7 and c=13? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Verify the distributive property of multiplication of integers over addition for a=-15, b=-7 and c=13?.
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