Question

Radha. I have a number which can be expressed as p/q where p and q are integers and is 0 not equal to zero is! (a natural number (b)whole number (c)integer (d)rational number​

Answer 1

Answer:

(d) rational number. A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0.

Answer 2

A number which can be expressed as p/q where p and q are integers and is q  not equal to zero is a rational Number

Rational numbers:

• Rational numbers are real numbers which can be written in the form p/q   where p and q are integers and q≠0
• All real numbers which are not rational  are irrationals.
• For  examples 1/2 , 1 , 3 - 3/4
• All natural numbers whole numbers and integers are rational numbers

Natural numbers  

• Counting numbers
• Positive Integers
• 1/2 is not a natural number but written as p/q

Whole numbers  

• Natural numbers including 0
• Non negative Integers
• 2/3 is not a whole number but written as p/q

Integers

• 4/5 is not an integers but written as p/q

Hence correct option is d) rational number.

 Some other Information:

• Any Rational number in the form of p/q  where p and q are co primes.
• if q has only prime factors of 2 and 5 then it is terminating decimal.
• if q has prime factors other than 2 and 5 also then its non terminating recurring decimal
• Rational numbers are terminating decimals or non terminating recurring decimal.
• Irrational numbers are non terminating non-recurring decimals

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