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Which of the following is not allowed in the 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 non zero number.
d. Dividing both the 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 non zero number.
d. Dividing both the sides of the equation by the same number.?
Most Upvoted Answer
Which of the following is not allowed in the equation?a. adding the sa...
Understanding Operations in Equations
In solving equations, certain operations can be performed to maintain equality. Let's evaluate each option provided:
Adding the Same Number
- Adding the same number to both sides of the equation is allowed.
- It preserves the equality because if \( a = b \), then \( a + c = b + c \).
Subtracting the Same Number
- Subtracting the same number from both sides of the equation is also allowed.
- This operation maintains equality. For instance, if \( a = b \), then \( a - c = b - c \).
Multiplying by the Same Non-zero Number
- Multiplying both sides of the equation by the same non-zero number is permissible.
- For example, if \( a = b \), then \( a \times c = b \times c \) (provided \( c \neq 0 \)).
Dividing by the Same Number
- Dividing both sides of the equation by the same number is allowed, but with a crucial condition.
- If the number is zero, this operation is not allowed. Division by zero is undefined. Thus, if \( a = b \), then \( a \div c = b \div c \) is valid only if \( c \neq 0 \).
Conclusion
In summary, all operations listed (a, b, and c) are allowed; however, option (d) has a restriction when dividing by zero. Therefore, the operation that is not universally allowed is:
Dividing both sides of the equation by the same number (if that number is zero).
In solving equations, certain operations can be performed to maintain equality. Let's evaluate each option provided:
Adding the Same Number
- Adding the same number to both sides of the equation is allowed.
- It preserves the equality because if \( a = b \), then \( a + c = b + c \).
Subtracting the Same Number
- Subtracting the same number from both sides of the equation is also allowed.
- This operation maintains equality. For instance, if \( a = b \), then \( a - c = b - c \).
Multiplying by the Same Non-zero Number
- Multiplying both sides of the equation by the same non-zero number is permissible.
- For example, if \( a = b \), then \( a \times c = b \times c \) (provided \( c \neq 0 \)).
Dividing by the Same Number
- Dividing both sides of the equation by the same number is allowed, but with a crucial condition.
- If the number is zero, this operation is not allowed. Division by zero is undefined. Thus, if \( a = b \), then \( a \div c = b \div c \) is valid only if \( c \neq 0 \).
Conclusion
In summary, all operations listed (a, b, and c) are allowed; however, option (d) has a restriction when dividing by zero. Therefore, the operation that is not universally allowed is:
Dividing both sides of the equation by the same number (if that number is zero).
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Which of the following is not allowed in the 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 non zero number.d. Dividing both the sides of the equation by the same number.?
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Which of the following is not allowed in the 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 non zero number.d. Dividing both the 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 the 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 non zero number.d. Dividing both the 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 the 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 non zero number.d. Dividing both the sides of the equation by the same number.?.
Which of the following is not allowed in the 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 non zero number.d. Dividing both the 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 the 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 non zero number.d. Dividing both the 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 the 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 non zero number.d. Dividing both the sides of the equation by the same number.?.
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Which of the following is not allowed in the 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 non zero number.d. Dividing both the sides of the equation by the same number.?, a detailed solution for Which of the following is not allowed in the 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 non zero number.d. Dividing both the sides of the equation by the same number.? has been provided alongside types of Which of the following is not allowed in the 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 non zero number.d. Dividing both the sides of the equation by the same number.? theory, EduRev gives you an
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