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A child is solving an algebraic equation "2x + 3y = 48" to find out the values of "x' and "y'. Here, the child is using which of the following mathematical skills?
- a)Visualization
- b)Transposition
- c)Memorization
- d)Generalization
Correct answer is option 'B'. Can you explain this answer?
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A child is solving an algebraic equation "2x + 3y = 48" to f...
Mathematics is an active subject where the child needs to think on their feet actively. Visualization, Transposition, Generalisation, and Estimation are the skills that are promoted by mathematics at the upper primary stage.
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A child is solving an algebraic equation "2x + 3y = 48" to f...
Understanding Transposition in Algebra
Transposition is a vital mathematical skill used when solving algebraic equations. In the context of the equation "2x + 3y = 48", the child is manipulating the equation to isolate one variable in terms of the other.
What is Transposition?
- Transposition refers to the process of moving terms from one side of an equation to the other to solve for a variable.
- It involves applying inverse operations, such as addition, subtraction, multiplication, or division, to maintain the equality of the equation.
Application in the Given Equation
- The child may start by isolating one variable, such as y. For instance, they can rearrange the equation as follows:
- Start with: 2x + 3y = 48
- Move 2x to the right: 3y = 48 - 2x
- Finally, divide by 3: y = (48 - 2x) / 3
- This manipulation showcases the skill of transposition as the child repositions the terms to solve for y in terms of x.
Why is it Different from Other Skills?
- Visualization: This skill involves picturing mathematical concepts rather than manipulating equations.
- Memorization: This skill is about recalling facts and formulas without applying them.
- Generalization: This involves recognizing patterns or principles that apply to multiple situations, rather than focusing on a specific equation.
Conclusion
In summary, the child is utilizing transposition to effectively solve the equation "2x + 3y = 48" by rearranging the terms to isolate variables. This process is essential for understanding algebra and developing problem-solving skills.
Transposition is a vital mathematical skill used when solving algebraic equations. In the context of the equation "2x + 3y = 48", the child is manipulating the equation to isolate one variable in terms of the other.
What is Transposition?
- Transposition refers to the process of moving terms from one side of an equation to the other to solve for a variable.
- It involves applying inverse operations, such as addition, subtraction, multiplication, or division, to maintain the equality of the equation.
Application in the Given Equation
- The child may start by isolating one variable, such as y. For instance, they can rearrange the equation as follows:
- Start with: 2x + 3y = 48
- Move 2x to the right: 3y = 48 - 2x
- Finally, divide by 3: y = (48 - 2x) / 3
- This manipulation showcases the skill of transposition as the child repositions the terms to solve for y in terms of x.
Why is it Different from Other Skills?
- Visualization: This skill involves picturing mathematical concepts rather than manipulating equations.
- Memorization: This skill is about recalling facts and formulas without applying them.
- Generalization: This involves recognizing patterns or principles that apply to multiple situations, rather than focusing on a specific equation.
Conclusion
In summary, the child is utilizing transposition to effectively solve the equation "2x + 3y = 48" by rearranging the terms to isolate variables. This process is essential for understanding algebra and developing problem-solving skills.
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A child is solving an algebraic equation "2x + 3y = 48" to find out the values of "x and "y. Here, the child is using which of the following mathematical skills?a)Visualizationb)Transpositionc)Memorizationd)GeneralizationCorrect answer is option 'B'. Can you explain this answer?
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A child is solving an algebraic equation "2x + 3y = 48" to find out the values of "x and "y. Here, the child is using which of the following mathematical skills?a)Visualizationb)Transpositionc)Memorizationd)GeneralizationCorrect answer is option 'B'. Can you explain this answer? for CTET & State TET 2024 is part of CTET & State TET preparation. The Question and answers have been prepared according to the CTET & State TET exam syllabus. Information about A child is solving an algebraic equation "2x + 3y = 48" to find out the values of "x and "y. Here, the child is using which of the following mathematical skills?a)Visualizationb)Transpositionc)Memorizationd)GeneralizationCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CTET & State TET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A child is solving an algebraic equation "2x + 3y = 48" to find out the values of "x and "y. Here, the child is using which of the following mathematical skills?a)Visualizationb)Transpositionc)Memorizationd)GeneralizationCorrect answer is option 'B'. Can you explain this answer?.
A child is solving an algebraic equation "2x + 3y = 48" to find out the values of "x and "y. Here, the child is using which of the following mathematical skills?a)Visualizationb)Transpositionc)Memorizationd)GeneralizationCorrect answer is option 'B'. Can you explain this answer? for CTET & State TET 2024 is part of CTET & State TET preparation. The Question and answers have been prepared according to the CTET & State TET exam syllabus. Information about A child is solving an algebraic equation "2x + 3y = 48" to find out the values of "x and "y. Here, the child is using which of the following mathematical skills?a)Visualizationb)Transpositionc)Memorizationd)GeneralizationCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CTET & State TET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A child is solving an algebraic equation "2x + 3y = 48" to find out the values of "x and "y. Here, the child is using which of the following mathematical skills?a)Visualizationb)Transpositionc)Memorizationd)GeneralizationCorrect answer is option 'B'. Can you explain this answer?.
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