Let's determine which of the given values are integers. We'll consider each value in the list to see if it meets the criteria for being an integer, i.e., a whole number without any fractional or decimal part.
1. [tex]\(-\frac{13}{14}\)[/tex]:
This is a fractional number, specifically a negative fraction, which means it is not a whole number.
- Result: Not an integer.
2. 0:
Zero is considered a whole number.
- Result: Integer.
3. [tex]\(-16\)[/tex]:
Negative numbers can also be integers if they are whole numbers without a fractional or decimal part. [tex]\(-16\)[/tex] fits this description.
- Result: Integer.
4. 147:
This is a positive whole number.
- Result: Integer.
5. 1000000:
This is a very large whole number.
- Result: Integer.
6. [tex]\(-3\)[/tex]:
Similar to [tex]\(-16\)[/tex], this is a negative whole number.
- Result: Integer.
7. [tex]\(-0.35\)[/tex]:
This is a negative decimal number. Decimal numbers are not considered integers.
- Result: Not an integer.
Summarizing the results:
- [tex]\(-\frac{13}{14}\)[/tex]: Not an integer.
- 0: Integer.
- [tex]\(-16\)[/tex]: Integer.
- 147: Integer.
- 1000000: Integer.
- [tex]\(-3\)[/tex]: Integer.
- [tex]\(-0.35\)[/tex]: Not an integer.
So, the values that are integers are: [tex]\(0\)[/tex], [tex]\(-16\)[/tex], [tex]\(147\)[/tex], [tex]\(1000000\)[/tex], and [tex]\(-3\)[/tex].
