Answer:
- true
- false
- false
- true
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Step-by-step explanation:
Problem 1
A rational number is any fraction of integers such as 2/3 and 4/7. An irrational number is something that cannot be written as this type of fraction. A famous example is the number pi = 3.14...
This means that any irrational number is not rational, and by extension is not an integer or whole number either. Any integer is automatically rational. Example: 7 = 7/1.
This is why the first answer is true
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Problem 2
Refer to the explanation for problem 1. I talked about how the whole numbers are completely separate from the irrational numbers. Therefore, we arrive at an answer of false.
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Problem 3
This is false because any whole number like 13 can be written as a fraction. 13 = 13/1
Therefore, any whole number is automatically rational.
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Problem 4
This is true. The rational number 2/3 isn't a whole number, but 13 = 13/1 is whole number.