RATIONAL NUMBERS
Everything about them
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A number that can be expressed in the form p / q
, where p and q are
integers and q ≠ 0, is called a rational number.
• All integers and fractions are rational numbers.
• If the numerator and denominator of a rational number are multiplied or divided by a non-zero integer, we get a rational number which is said to be equivalent to the given rational number.
• Rational numbers are classified as positive, zero or negative rational numbers. When the numerator and denominator both are positive integers or both are negative integers, it is a positive rational number. When either the numerator or the denominator is a negative integer, it is a negative rational number.
• The number 0 is neither a positive nor a negative rational number. • There are unlimited number of rational numbers between two rational numbers.
• A rational number is said to be in the standard form, if its denominator is a positive integer and the numerator and denominator have no common factor other than 1.
• All integers and fractions are rational numbers.
• If the numerator and denominator of a rational number are multiplied or divided by a non-zero integer, we get a rational number which is said to be equivalent to the given rational number.
• Rational numbers are classified as positive, zero or negative rational numbers. When the numerator and denominator both are positive integers or both are negative integers, it is a positive rational number. When either the numerator or the denominator is a negative integer, it is a negative rational number.
• The number 0 is neither a positive nor a negative rational number. • There are unlimited number of rational numbers between two rational numbers.
• A rational number is said to be in the standard form, if its denominator is a positive integer and the numerator and denominator have no common factor other than 1.
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