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Simplify using distributive property: (12 + 18) × 7
- a)210
- b)2100
- c)252
- d)420
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Simplify using distributive property: (12 + 18) × 7a)210b)2100c)252d)4...
Simplify using distributive property:
To simplify the expression (12 + 18) × 7 using the distributive property, follow these steps:
- First, apply the distributive property: (a + b) × c = a × c + b × c.
- Here, a = 12, b = 18, and c = 7.
- Distribute 7 to both 12 and 18:
- 12 × 7 = 84
- 18 × 7 = 126
- Add the results together:
- 84 + 126 = 210
Thus, the simplified result is 210.
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Community Answer
Simplify using distributive property: (12 + 18) × 7a)210b)2100c)252d)4...
Understanding the Problem
To simplify the expression (12 + 18) × 7, we will use the distributive property. The distributive property states that a(b + c) = ab + ac. In this case, we can first simplify the addition inside the parentheses.
Step 1: Simplify the Addition
- Calculate 12 + 18:
- 12 + 18 = 30
So, we can rewrite the expression as:
- (12 + 18) × 7 = 30 × 7
Step 2: Multiply
Now we need to multiply 30 by 7:
- 30 × 7 = 210
Final Result
Thus, the simplified expression is 210. Since the question states options, we can conclude:
- The correct answer is option 'A': 210
Why the Other Options are Incorrect
- Option B (2100): This is incorrect because it is 10 times larger than the actual result.
- Option C (252): This does not relate to any calculation in the expression.
- Option D (420): This is double the correct answer, likely due to a multiplication error.
Conclusion
Using the distributive property to simplify the expression (12 + 18) × 7 leads us to the correct answer of 210, confirming that option 'A' is accurate. Understanding each step helps in mastering such problems!
To simplify the expression (12 + 18) × 7, we will use the distributive property. The distributive property states that a(b + c) = ab + ac. In this case, we can first simplify the addition inside the parentheses.
Step 1: Simplify the Addition
- Calculate 12 + 18:
- 12 + 18 = 30
So, we can rewrite the expression as:
- (12 + 18) × 7 = 30 × 7
Step 2: Multiply
Now we need to multiply 30 by 7:
- 30 × 7 = 210
Final Result
Thus, the simplified expression is 210. Since the question states options, we can conclude:
- The correct answer is option 'A': 210
Why the Other Options are Incorrect
- Option B (2100): This is incorrect because it is 10 times larger than the actual result.
- Option C (252): This does not relate to any calculation in the expression.
- Option D (420): This is double the correct answer, likely due to a multiplication error.
Conclusion
Using the distributive property to simplify the expression (12 + 18) × 7 leads us to the correct answer of 210, confirming that option 'A' is accurate. Understanding each step helps in mastering such problems!
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Question Description
Simplify using distributive property: (12 + 18) × 7a)210b)2100c)252d)420Correct answer is option 'A'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Simplify using distributive property: (12 + 18) × 7a)210b)2100c)252d)420Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify using distributive property: (12 + 18) × 7a)210b)2100c)252d)420Correct answer is option 'A'. Can you explain this answer?.
Simplify using distributive property: (12 + 18) × 7a)210b)2100c)252d)420Correct answer is option 'A'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Simplify using distributive property: (12 + 18) × 7a)210b)2100c)252d)420Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify using distributive property: (12 + 18) × 7a)210b)2100c)252d)420Correct answer is option 'A'. Can you explain this answer?.
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