QQuestionMathematics
QuestionMathematics
# Which number is rational and integer?
A. There is no such number.
O B. - 5
C. $\sqrt{2}$
D. $\frac{5}{7}$
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Understand the definitions
- A rational number is a number that can be expressed as a fraction $$\frac{p}{q}$$, where p and q are integers and q ≠ 0
- An integer is a whole number that can be positive, negative, or zero - We need to find a number that is both rational and an integer
Step 3:: Analyze the given options
D. $$\frac{5}{7}
A. "There is no such number" - Let's check this carefully B. - 5
Step 4:: Evaluate each option
- Option D: $$\frac{5}{7}$$ is rational but not an integer
- Option A: This is false, as we can find numbers that are both rational and integers
Step 5:: Determine the correct answer
The number that is both rational and an integer is - 5.
Final Answer
B. - 5
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