What is meant by Equivalent Rational Number ?
The rational numbers do not have a unique representation in the form
p/q, where p and q are integers and q ≠ 0. These are equivalent rational
numbers (or fractions).
Example: Find Equivalent Rational Numbers of 1/2
Solution :
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj8cAB66u55_9RCwc_X-vhsOKf7ovoIc5xATWaWDN4fZ8rzB0DYZDDcwB2BnCcHfIx0LszddRemElNxq_SzZzSS9Jqd_C7vC2x7Fz8DCtDJe79fNBk2HTCPeL3vtRN6NdURJZY_UhAVnQQ/w400-h206-rw/equivalent+Rational+Number.png)
We get infinite Equivalent Rational Number of a given rational number.
What is Absolute value of a rational Number?
The distance of a rational number from zero on the number line is called its absolute value. Distance is positive, so absolute value is always positive. The absolute value of a positive number is the positive number, and the absolute value of a negative number is its opposite.
The absolute value of a rational number is the number itself regardless of its sign.The absolute value of + =
The absolute value of - =
The absolute value of zero is zero as zero is neither positive nor negative.
The symbol to show the absolute value is two vertical lines.
If p/q is a rational number, then its absolute value is represented as .The absolute value of a rational number is equal to the absolute value of its numerator divided by the absolute value of its denominator.
Absolute value of = =