Question

Q List five rational number between 2 and -1.​

Answer 1

➲CORRECT QUESTION :

• List five rational numbers between -1 and 2.

☯GIVEN :

• -1 and 2.

☯TO FIND :

• List five rational numbers between -1 and 2.

☯KNOWLEDGE REQUIRED :

• Rational numbers can be found between two rational numbers ( x and y), when x is less than y ( x < y ).

☯FORMULA REQUIRED :

• $\bigstar \underline{ \pink{\boxed{ \bf{ Rational \: Number = \dfrac{x + y}{2} }}}} \bigstar$

➲SOLUTION :

• 1)

$\implies{ \sf{ Rational \: Number =\dfrac{x + y}{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ - 1 + 2}{2} }}$

$\implies{ \underline{ \boxed{ \bf{ \green{ Rational \: Number =\dfrac{ 1}{2} }}} }}$

• 2)

$\implies{ \sf{ Rational \: Number =\dfrac{x + y}{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ - 1 + \dfrac{1}{2} }{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ \dfrac{ - 2 + 1}{2} }{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ \dfrac{ - 1}{2} }{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ - 1}{2} \div 2}}$

$\implies{ \sf{ Rational \: Number =\dfrac{ - 1}{2} \ \times \dfrac{ 1}{2} }}$

$\implies{ \underline{ \boxed{ \bf{ \green{ Rational \: Number =\dfrac{ - 1}{4} }}} }}$

• 3)

$\implies{ \sf{ Rational \: Number =\dfrac{x + y}{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ \dfrac{1}{2} + 2}{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ \dfrac{ 1+ 4}{2} }{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ \dfrac{ 5}{2} }{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ 5}{2} \div 2}}$

$\implies{ \sf{ Rational \: Number =\dfrac{ 5}{2} \ \times \dfrac{ 1}{2} }}$

$\implies{ \underline{ \boxed{ \bf{ \green{ Rational \: Number =\dfrac{ 5}{4} }}} }}$

• 4)

$\implies{ \sf{ Rational \: Number =\dfrac{x + y}{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ \dfrac{ - 1}{4} + \dfrac{1}{2}}{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ \dfrac{ - 1+ 2}{4} }{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ \dfrac{ 1}{4} }{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ 1}{4} \div 2}}$

$\implies{ \sf{ Rational \: Number =\dfrac{ 1}{4} \ \times \dfrac{ 1}{2} }}$

$\implies{ \underline{ \boxed{ \bf{ \green{ Rational \: Number =\dfrac{ 1}{8} }}} }}$

• 5)

$\implies{ \sf{ Rational \: Number =\dfrac{x + y}{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ \dfrac{ 1}{2} + \dfrac{5}{4}}{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ \dfrac{ 2+ 5}{4} }{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ \dfrac{ 7}{4} }{2} }}$

$\implies{ \sf{ Rational \: Number =\dfrac{ 7}{4} \div 2}}$

$\implies{ \sf{ Rational \: Number =\dfrac{ 7}{4} \ \times \dfrac{ 1}{2} }}$

$\implies{ \underline{ \boxed{ \bf{ \green{ Rational \: Number =\dfrac{ 7}{8} }}} }}$