Question

Define a rational number also discuss different properties of a rational number. write in 10 lines ​

Answer 1

Answer:

Rational number- no of the type 1/2,2/3,5/4 are called rational number

Answer 2

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☛ The numbers of the form p/q ,where p and q are integers and q ≠ 0 are called rational numbers.

✦ Properties of rational number

• A rational number remains the same when we divide or multiply both numerator and denominator with the same number.

• The result of two rationals is always rational number when we multiply ,add or subtract them.

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☛ Rational numbers in decimal form :- Every rational number when expressed in decimal form is expressible either in terminating or in nonterminating repeating decimal form.

✦ Important observation

To test whether a given rational number is a terminating or repeating decimal .

Let x be a rational number whose form p/q where p and q are integers and q ≠ 0.then,

• x is terminating decimal only when q is of the form$\sf\:({2}^{m}\times\:{5}^{n})$ for some non negative integers m and n

• x is a nonterminating repeating decimal,ifq≠$\sf\:({2}^{m}\times\:{5}^{n})$