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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 same non- zero number.
d. Dividing both sides if the equation by the same side of the 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 same non- zero number.
d. Dividing both sides if the equation by the same side of the number.?
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Which of the following is not allowed in a given equation?a. Adding th...
Understanding Operations in Equations
When solving equations, certain operations can be performed without changing the equality of the equation. Let’s explore the options provided:
Allowed Operations
- Adding the same number to both sides:
This operation maintains equality. If you have an equation like \(x + 3 = 7\) and you add 2 to both sides, you get \(x + 5 = 9\), which is still valid.
- Subtracting the same number from both sides:
Similar to addition, subtracting the same value keeps the equation balanced. For example, from \(x + 5 = 10\), subtracting 5 from both sides gives \(x = 5\), preserving the equation's truth.
- Multiplying both sides by the same non-zero number:
This is also valid as multiplying by a non-zero number does not change the equality. For instance, if \(x = 4\), multiplying both sides by 2 results in \(2x = 8\), which is correct.
Not Allowed Operation
- Dividing both sides by the same side of the number:
This option is problematic if the number is zero. Division by zero is undefined in mathematics. For example, if you have \(x \cdot 0 = 0\) and you attempt to divide both sides by 0, the operation is invalid. Therefore, this operation cannot be universally applied.
In conclusion, while you can add, subtract, and multiply both sides of an equation freely, dividing by zero is not allowed. Understanding these rules helps in solving equations accurately.
When solving equations, certain operations can be performed without changing the equality of the equation. Let’s explore the options provided:
Allowed Operations
- Adding the same number to both sides:
This operation maintains equality. If you have an equation like \(x + 3 = 7\) and you add 2 to both sides, you get \(x + 5 = 9\), which is still valid.
- Subtracting the same number from both sides:
Similar to addition, subtracting the same value keeps the equation balanced. For example, from \(x + 5 = 10\), subtracting 5 from both sides gives \(x = 5\), preserving the equation's truth.
- Multiplying both sides by the same non-zero number:
This is also valid as multiplying by a non-zero number does not change the equality. For instance, if \(x = 4\), multiplying both sides by 2 results in \(2x = 8\), which is correct.
Not Allowed Operation
- Dividing both sides by the same side of the number:
This option is problematic if the number is zero. Division by zero is undefined in mathematics. For example, if you have \(x \cdot 0 = 0\) and you attempt to divide both sides by 0, the operation is invalid. Therefore, this operation cannot be universally applied.
In conclusion, while you can add, subtract, and multiply both sides of an equation freely, dividing by zero is not allowed. Understanding these rules helps in solving equations accurately.
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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 same non- zero number.d. Dividing both sides if the equation by the same side of the 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 same non- zero number.d. Dividing both sides if the equation by the same side of the 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 same non- zero number.d. Dividing both sides if the equation by the same side of the 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 same non- zero number.d. Dividing both sides if the equation by the same side of the 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 same non- zero number.d. Dividing both sides if the equation by the same side of the 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 same non- zero number.d. Dividing both sides if the equation by the same side of the 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 same non- zero number.d. Dividing both sides if the equation by the same side of the 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 same non- zero number.d. Dividing both sides if the equation by the same side of the number.?, a detailed solution 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 same non- zero number.d. Dividing both sides if the equation by the same side of the number.? has been provided alongside types of 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 same non- zero number.d. Dividing both sides if the equation by the same side of the number.? theory, EduRev gives you an
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