Answer :
Let's analyze each of the given numbers to determine which fits the classification of being a real number, a rational number, and an integer.
### a) -2.348689034
- Real Number: Yes, this is a real number because all decimal numbers are real numbers.
- Rational Number: This number can possibly be a rational number if it either terminates or repeats. However, if it is specifically non-terminating and non-repeating, it is irrational.
- Integer: No, since it has decimal places, it is not an integer.
### b) [tex]\(\pi\)[/tex]
- Real Number: Yes, [tex]\(\pi\)[/tex] is a real number.
- Rational Number: No, [tex]\(\pi\)[/tex] is an irrational number.
- Integer: No, since [tex]\(\pi\)[/tex] is not a whole number.
### c) [tex]\(\frac{1}{2}\)[/tex]
- Real Number: Yes, [tex]\(\frac{1}{2}\)[/tex] is a real number.
- Rational Number: Yes, [tex]\(\frac{1}{2}\)[/tex] is a rational number because it can be expressed as a fraction of two integers.
- Integer: No, [tex]\(\frac{1}{2}\)[/tex] is not an integer because it is not a whole number.
### d) -7
- Real Number: Yes, -7 is a real number.
- Rational Number: Yes, -7 is a rational number because it can be expressed as a fraction of two integers (-7/1).
- Integer: Yes, -7 is also an integer.
Based on the criteria of being a real number, a rational number, and an integer, the number -7 fits all these classifications.
Thus, the correct answer is:
d) -7
### a) -2.348689034
- Real Number: Yes, this is a real number because all decimal numbers are real numbers.
- Rational Number: This number can possibly be a rational number if it either terminates or repeats. However, if it is specifically non-terminating and non-repeating, it is irrational.
- Integer: No, since it has decimal places, it is not an integer.
### b) [tex]\(\pi\)[/tex]
- Real Number: Yes, [tex]\(\pi\)[/tex] is a real number.
- Rational Number: No, [tex]\(\pi\)[/tex] is an irrational number.
- Integer: No, since [tex]\(\pi\)[/tex] is not a whole number.
### c) [tex]\(\frac{1}{2}\)[/tex]
- Real Number: Yes, [tex]\(\frac{1}{2}\)[/tex] is a real number.
- Rational Number: Yes, [tex]\(\frac{1}{2}\)[/tex] is a rational number because it can be expressed as a fraction of two integers.
- Integer: No, [tex]\(\frac{1}{2}\)[/tex] is not an integer because it is not a whole number.
### d) -7
- Real Number: Yes, -7 is a real number.
- Rational Number: Yes, -7 is a rational number because it can be expressed as a fraction of two integers (-7/1).
- Integer: Yes, -7 is also an integer.
Based on the criteria of being a real number, a rational number, and an integer, the number -7 fits all these classifications.
Thus, the correct answer is:
d) -7
