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Which of the following is not allowed in a given equation?
a. Adding the same number to both sides of the equation.
b. subtracting the same number from both sides of the equation.
c. Multiplying both sides of the equation by the same number.?
a. Adding the same number to both sides of the equation.
b. subtracting the same number from both sides of the equation.
c. Multiplying both sides of the equation by the same number.?
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Which of the following is not allowed in a given equation?a. Adding th...
Understanding Equation Rules
In mathematics, equations represent a balance between two expressions. To maintain this balance, certain operations can be performed on both sides without altering the equality. Let's examine the operations listed in your question.
1. Adding the Same Number
- Adding the same number to both sides of an equation is allowed.
- This maintains the equality because the overall value on each side increases equally.
2. Subtracting the Same Number
- Subtracting the same number from both sides is also permitted.
- This operation keeps the balance intact, as both sides decrease by the same amount.
3. Multiplying by the Same Number
- Multiplying both sides of an equation by the same non-zero number is allowed.
- However, if you multiply by zero, the equation loses its meaning since both sides will equal zero, thus making it impossible to find a solution.
Conclusion
- All operations listed (adding, subtracting, and multiplying by the same number) are valid as long as they are performed correctly.
- Therefore, multiplying both sides by zero is the operation that is not allowed in a given equation as it nullifies the equation.
Understanding these rules ensures that any manipulation of an equation maintains its integrity and leads to valid solutions.
In mathematics, equations represent a balance between two expressions. To maintain this balance, certain operations can be performed on both sides without altering the equality. Let's examine the operations listed in your question.
1. Adding the Same Number
- Adding the same number to both sides of an equation is allowed.
- This maintains the equality because the overall value on each side increases equally.
2. Subtracting the Same Number
- Subtracting the same number from both sides is also permitted.
- This operation keeps the balance intact, as both sides decrease by the same amount.
3. Multiplying by the Same Number
- Multiplying both sides of an equation by the same non-zero number is allowed.
- However, if you multiply by zero, the equation loses its meaning since both sides will equal zero, thus making it impossible to find a solution.
Conclusion
- All operations listed (adding, subtracting, and multiplying by the same number) are valid as long as they are performed correctly.
- Therefore, multiplying both sides by zero is the operation that is not allowed in a given equation as it nullifies the equation.
Understanding these rules ensures that any manipulation of an equation maintains its integrity and leads to valid solutions.
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Which of the following is not allowed in a given equation?a. Adding the same number to both sides of the equation.b. subtracting the same number from both sides of the equation.c. Multiplying both sides of the equation by the same number.?
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Which of the following is not allowed in a given equation?a. Adding the same number to both sides of the equation.b. subtracting the same number from both sides of the equation.c. Multiplying both sides of the equation by the same number.? 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 Which of the following is not allowed in a given equation?a. Adding the same number to both sides of the equation.b. subtracting the same number from both sides of the equation.c. Multiplying both sides of the equation by the same number.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is not allowed in a given equation?a. Adding the same number to both sides of the equation.b. subtracting the same number from both sides of the equation.c. Multiplying both sides of the equation by the same number.?.
Which of the following is not allowed in a given equation?a. Adding the same number to both sides of the equation.b. subtracting the same number from both sides of the equation.c. Multiplying both sides of the equation by the same number.? 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 Which of the following is not allowed in a given equation?a. Adding the same number to both sides of the equation.b. subtracting the same number from both sides of the equation.c. Multiplying both sides of the equation by the same number.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is not allowed in a given equation?a. Adding the same number to both sides of the equation.b. subtracting the same number from both sides of the equation.c. Multiplying both sides of the equation by the same number.?.
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