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Which of the following are integers?

A. [tex]$-\frac{13}{14}$[/tex]
B. 0
C. [tex]$-16$[/tex]
D. 147
E. 1000000
F. [tex]$-3$[/tex]
G. [tex]$-0.35$[/tex]


Sagot :

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].