Grade 10 Exam > Grade 10 Questions > Multiplying 2î + 7 by 5 gives ______a)1...
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Multiplying 2î + 7ĵ by 5 gives ______
- a)10î + 35ĵ
- b)2î + 35ĵ
- c)10î + 7ĵ
- d)2î + 7ĵ
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Multiplying 2î + 7 by 5 gives ______a)10î + 35b)2î +...
When 2î + 7ĵ is multiplied by 5, both the components get multiplied by 5. Hence, the answer is 10î + 35ĵ.
Most Upvoted Answer
Multiplying 2î + 7 by 5 gives ______a)10î + 35b)2î +...
Understanding the Expression
When we multiply the expression (2i + 7) by 5, we need to apply the distributive property. This means we will multiply each term inside the parentheses by 5.
Step-by-Step Calculation
- Distributing the 5:
- Multiply 5 by 2i:
- 5 * 2i = 10i
- Multiply 5 by 7:
- 5 * 7 = 35
- Combining the Results:
- Now, combine the results of these multiplications:
- 10i + 35
Final Result
The result of multiplying (2i + 7) by 5 is:
- 10i + 35
Conclusion
Thus, the correct answer is option 'A':
- 10i + 35
This shows how the distributive property works in algebra, allowing us to efficiently expand expressions by multiplying each term individually.
When we multiply the expression (2i + 7) by 5, we need to apply the distributive property. This means we will multiply each term inside the parentheses by 5.
Step-by-Step Calculation
- Distributing the 5:
- Multiply 5 by 2i:
- 5 * 2i = 10i
- Multiply 5 by 7:
- 5 * 7 = 35
- Combining the Results:
- Now, combine the results of these multiplications:
- 10i + 35
Final Result
The result of multiplying (2i + 7) by 5 is:
- 10i + 35
Conclusion
Thus, the correct answer is option 'A':
- 10i + 35
This shows how the distributive property works in algebra, allowing us to efficiently expand expressions by multiplying each term individually.
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Multiplying 2î + 7 by 5 gives ______a)10î + 35b)2î + 35c)10î + 7d)2î + 7Correct answer is option 'A'. Can you explain this answer?
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