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Correct the given equations by interchanging the two signs (10 - 14 ÷ 7 x 3 + 4 = 20)
- a)- and +
- b)+ and x
- c)÷ and +
- d)÷ and x
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Correct the given equations by interchanging the two signs (10 - 14 &d...
Interchange of sign + and x makes the equation into 10 – 14 ÷ 7 + 3 x 4 = 10 - 2 + 3 × 4 = 20. Hence, option (b) is the correct answer.
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Community Answer
Correct the given equations by interchanging the two signs (10 - 14 &d...
Understanding the Given Equation
The original equation is:
10 - 14 ÷ 7 x 3 + 4 = 20
To evaluate the correctness, we will follow the order of operations (PEMDAS/BODMAS).
Step-by-Step Calculation
1. Division and Multiplication (from left to right):
- 14 ÷ 7 = 2
- 2 x 3 = 6
Now, substituting back into the equation:
- 10 - 6 + 4
2. Addition and Subtraction (from left to right):
- 10 - 6 = 4
- 4 + 4 = 8
Thus, the left-hand side equals 8, not 20.
Explaining the Correction
To correct the equation, we interchange the signs. The option chosen is (b) + and x:
- Replace + with x and x with +:
New equation:
10 - 14 ÷ 7 + 3 x 4 = 20
Re-evaluating the New Equation
1. Perform Division:
- 14 ÷ 7 = 2
2. Substitute:
- 10 - 2 + 3 x 4
3. Perform Multiplication:
- 3 x 4 = 12
4. Final Calculation:
- 10 - 2 + 12
- 10 - 2 = 8
- 8 + 12 = 20
Conclusion
The new equation 10 - 14 ÷ 7 + 3 x 4 = 20 holds true after the sign interchange. Therefore, option (b) is correct.
The original equation is:
10 - 14 ÷ 7 x 3 + 4 = 20
To evaluate the correctness, we will follow the order of operations (PEMDAS/BODMAS).
Step-by-Step Calculation
1. Division and Multiplication (from left to right):
- 14 ÷ 7 = 2
- 2 x 3 = 6
Now, substituting back into the equation:
- 10 - 6 + 4
2. Addition and Subtraction (from left to right):
- 10 - 6 = 4
- 4 + 4 = 8
Thus, the left-hand side equals 8, not 20.
Explaining the Correction
To correct the equation, we interchange the signs. The option chosen is (b) + and x:
- Replace + with x and x with +:
New equation:
10 - 14 ÷ 7 + 3 x 4 = 20
Re-evaluating the New Equation
1. Perform Division:
- 14 ÷ 7 = 2
2. Substitute:
- 10 - 2 + 3 x 4
3. Perform Multiplication:
- 3 x 4 = 12
4. Final Calculation:
- 10 - 2 + 12
- 10 - 2 = 8
- 8 + 12 = 20
Conclusion
The new equation 10 - 14 ÷ 7 + 3 x 4 = 20 holds true after the sign interchange. Therefore, option (b) is correct.
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Correct the given equations by interchanging the two signs (10 - 14 ÷ 7 x 3 + 4 = 20)a)- and +b)+ and xc)÷ and +d)÷ and xCorrect answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Correct the given equations by interchanging the two signs (10 - 14 ÷ 7 x 3 + 4 = 20)a)- and +b)+ and xc)÷ and +d)÷ and xCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Correct the given equations by interchanging the two signs (10 - 14 ÷ 7 x 3 + 4 = 20)a)- and +b)+ and xc)÷ and +d)÷ and xCorrect answer is option 'B'. Can you explain this answer?.
Correct the given equations by interchanging the two signs (10 - 14 ÷ 7 x 3 + 4 = 20)a)- and +b)+ and xc)÷ and +d)÷ and xCorrect answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Correct the given equations by interchanging the two signs (10 - 14 ÷ 7 x 3 + 4 = 20)a)- and +b)+ and xc)÷ and +d)÷ and xCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Correct the given equations by interchanging the two signs (10 - 14 ÷ 7 x 3 + 4 = 20)a)- and +b)+ and xc)÷ and +d)÷ and xCorrect answer is option 'B'. Can you explain this answer?.
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