Is Zero a rational number ? Can you write it in the form of p by q , w...
**Is Zero a Rational Number?**
Yes, zero (0) is considered a rational number. A rational number is defined as any number that can be expressed in the form of p/q, where p and q are integers and q is not equal to zero. Since zero can be written as 0/1, it satisfies the criteria of being a rational number.
**Explanation:**
To further understand why zero is a rational number, let's break down the definition of a rational number and examine its properties.
1. Rational Numbers:
- Rational numbers are numbers that can be expressed as fractions of two integers, where the denominator is not zero.
- Examples of rational numbers include integers (e.g., -3, 0, 7), fractions (e.g., 1/2, -3/5), and decimal numbers that terminate or repeat (e.g., 0.25, -0.333...).
2. Zero as a Rational Number:
- Zero (0) can be expressed as 0/1, where both the numerator and denominator are integers.
- In this case, the denominator is 1, which is not equal to zero, satisfying the requirement for a rational number.
- Therefore, zero is considered a rational number.
**Conclusion:**
Zero is indeed a rational number because it can be expressed as 0/1, where both the numerator and denominator are integers. It satisfies the definition of a rational number, which states that a rational number is any number that can be written in the form of p/q, where p and q are integers and q is not equal to zero.
Is Zero a rational number ? Can you write it in the form of p by q , w...
Yes , 0=0÷1=0÷2=0÷3 etc, denominator q can also be taken as negative integer
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