Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Certainly! Let's go through each of the given fractions and determine whether they are rational numbers or not. Remember, a rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
1. [tex]\(\frac{8}{19}\)[/tex]
- Rational: The fraction [tex]\(\frac{8}{19}\)[/tex] is a rational number because both the numerator (8) and the denominator (19) are integers, and the denominator is not zero. So, we circle this number.
2. [tex]\(\frac{0}{7}\)[/tex]
- Rational: The fraction [tex]\(\frac{0}{7}\)[/tex] is a rational number because both the numerator (0) and the denominator (7) are integers, and the denominator is not zero. Any fraction with a zero numerator is still rational. So, we circle this number.
3. [tex]\(\frac{7}{9}\)[/tex]
- Rational: The fraction [tex]\(\frac{7}{9}\)[/tex] is a rational number because both the numerator (7) and the denominator (9) are integers, and the denominator is not zero. So, we circle this number.
4. [tex]\(\frac{16}{0}\)[/tex]
- Not Rational: The fraction [tex]\(\frac{16}{0}\)[/tex] is not a rational number because division by zero is undefined. The denominator is zero, making this fraction invalid in the set of rational numbers. So, we cross this number.
5. [tex]\(\frac{6}{12}\)[/tex]
- Rational: The fraction [tex]\(\frac{6}{12}\)[/tex] is a rational number because both the numerator (6) and the denominator (12) are integers, and the denominator is not zero. So, we circle this number.
6. [tex]\(\frac{8}{17}\)[/tex]
- Rational: The fraction [tex]\(\frac{8}{17}\)[/tex] is a rational number because both the numerator (8) and the denominator (17) are integers, and the denominator is not zero. So, we circle this number.
So, the rational numbers are:
1. [tex]\(\frac{8}{19}\)[/tex]
2. [tex]\(\frac{0}{7}\)[/tex]
3. [tex]\(\frac{7}{9}\)[/tex]
5. [tex]\(\frac{6}{12}\)[/tex]
6. [tex]\(\frac{8}{17}\)[/tex]
And the non-rational number is:
1. [tex]\(\frac{16}{0}\)[/tex]
1. [tex]\(\frac{8}{19}\)[/tex]
- Rational: The fraction [tex]\(\frac{8}{19}\)[/tex] is a rational number because both the numerator (8) and the denominator (19) are integers, and the denominator is not zero. So, we circle this number.
2. [tex]\(\frac{0}{7}\)[/tex]
- Rational: The fraction [tex]\(\frac{0}{7}\)[/tex] is a rational number because both the numerator (0) and the denominator (7) are integers, and the denominator is not zero. Any fraction with a zero numerator is still rational. So, we circle this number.
3. [tex]\(\frac{7}{9}\)[/tex]
- Rational: The fraction [tex]\(\frac{7}{9}\)[/tex] is a rational number because both the numerator (7) and the denominator (9) are integers, and the denominator is not zero. So, we circle this number.
4. [tex]\(\frac{16}{0}\)[/tex]
- Not Rational: The fraction [tex]\(\frac{16}{0}\)[/tex] is not a rational number because division by zero is undefined. The denominator is zero, making this fraction invalid in the set of rational numbers. So, we cross this number.
5. [tex]\(\frac{6}{12}\)[/tex]
- Rational: The fraction [tex]\(\frac{6}{12}\)[/tex] is a rational number because both the numerator (6) and the denominator (12) are integers, and the denominator is not zero. So, we circle this number.
6. [tex]\(\frac{8}{17}\)[/tex]
- Rational: The fraction [tex]\(\frac{8}{17}\)[/tex] is a rational number because both the numerator (8) and the denominator (17) are integers, and the denominator is not zero. So, we circle this number.
So, the rational numbers are:
1. [tex]\(\frac{8}{19}\)[/tex]
2. [tex]\(\frac{0}{7}\)[/tex]
3. [tex]\(\frac{7}{9}\)[/tex]
5. [tex]\(\frac{6}{12}\)[/tex]
6. [tex]\(\frac{8}{17}\)[/tex]
And the non-rational number is:
1. [tex]\(\frac{16}{0}\)[/tex]
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.
