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To reduce a rational number to its standard form, we divide its numerator and denominator by their
- a)LCM
- b)HCM
- c)product
- d)multiple
Correct answer is option 'B'. Can you explain this answer?
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To reduce a rational number to its standard form, we divide its numera...
Understanding Standard Form of Rational Numbers
To reduce a rational number to its standard form, we must simplify it by dividing both the numerator and the denominator by their highest common factor (HCF). Let’s explore why option 'B' is the correct answer.
What is a Rational Number?
- A rational number is any number that can be expressed as the quotient of two integers, where the denominator is not zero.
Importance of Standard Form
- The standard form of a rational number is when it is expressed in its simplest form.
- This makes it easier to understand and compare with other numbers.
What is HCF?
- HCF, or Highest Common Factor, is the largest number that divides both the numerator and the denominator without leaving a remainder.
- Finding the HCF helps in simplifying the fraction effectively.
Steps to Reduce a Rational Number
1. Identify the Numerator and Denominator: Look at the two numbers in your rational number.
2. Calculate the HCF: Determine the highest common factor of these two numbers.
3. Divide by HCF: Divide both the numerator and denominator by their HCF.
4. Result: The resulting fraction is the rational number in its standard form.
Example
- Consider the rational number 8/12.
- The HCF of 8 and 12 is 4.
- Dividing both by 4 gives us 2/3, which is the standard form.
Conclusion
- Reducing a rational number to its standard form ensures clarity and precision in mathematical expressions.
- Always use HCF for simplification, making option 'B' the correct choice for this process.
To reduce a rational number to its standard form, we must simplify it by dividing both the numerator and the denominator by their highest common factor (HCF). Let’s explore why option 'B' is the correct answer.
What is a Rational Number?
- A rational number is any number that can be expressed as the quotient of two integers, where the denominator is not zero.
Importance of Standard Form
- The standard form of a rational number is when it is expressed in its simplest form.
- This makes it easier to understand and compare with other numbers.
What is HCF?
- HCF, or Highest Common Factor, is the largest number that divides both the numerator and the denominator without leaving a remainder.
- Finding the HCF helps in simplifying the fraction effectively.
Steps to Reduce a Rational Number
1. Identify the Numerator and Denominator: Look at the two numbers in your rational number.
2. Calculate the HCF: Determine the highest common factor of these two numbers.
3. Divide by HCF: Divide both the numerator and denominator by their HCF.
4. Result: The resulting fraction is the rational number in its standard form.
Example
- Consider the rational number 8/12.
- The HCF of 8 and 12 is 4.
- Dividing both by 4 gives us 2/3, which is the standard form.
Conclusion
- Reducing a rational number to its standard form ensures clarity and precision in mathematical expressions.
- Always use HCF for simplification, making option 'B' the correct choice for this process.
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Community Answer
To reduce a rational number to its standard form, we divide its numera...
To reduce a rational number to its standard form, we divide its numerator and denominator by their HCM (Highest Common Measure), also known as the HCF (Highest Common Factor). This ensures the fraction is in its simplest form.
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To reduce a rational number to its standard form, we divide its numerator and denominator by theira)LCMb)HCMc)productd)multipleCorrect answer is option 'B'. Can you explain this answer?
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