Math, asked by rameshchandra38022, 2 months ago

find three rational number between -2 and 5 with fullethpd​

Answers

Answered by shrawani0408
1

Answer:

-2 is a negative number and 5 is a natural number

therefore the numbers between them are- -1,0,1,2,3,4

Step-by-step explanation:

Answered by CuteAnswerer
1

GIVEN :

  • -2 and 5.

TO FIND :

  • Three rational numbers between -2 and 5.

KNOWLEDGE REQUIRED :

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

FORMULA REQUIRED :

  • \bigstar \underline{ \pink{\boxed{ \bf{ Rational \: Number = \dfrac{a + b}{2} }}}}

SOLUTION :

  • 1)

\implies{\sf{ Rational \: Number =\dfrac{a + b}{2} }} \\ \\

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

\implies{ \underline{ \boxed{ \bf{ \green{ Rational \: Number = \dfrac{3}{2} }}} }}

  • 2)

\implies{ \sf{ Rational \: Number =\dfrac{a + b}{2} }} \\ \\

\implies{ \sf{ Rational \: Number = \dfrac{-2+ \dfrac{3 }{2}}{2} }} \\ \\

\implies{ \sf{ Rational \: Number = \dfrac { \dfrac{-4 + 3}{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{a + b}{2} }} \\ \\

\implies{ \sf{ Rational \: Number = \dfrac{\dfrac{3 }{2}+5}{2} }} \\ \\

 \implies{ \sf{ Rational \: Number = \dfrac{\dfrac{3 + 10}{2}}{2} }} \\ \\

 \implies{ \sf{ Rational \: Number = \dfrac { \dfrac{13}{2}}{2}} } \\ \\

\implies{ \sf{ Rational \: Number =\dfrac{13}{2} \div 2} } \\ \\

\implies{ \sf{ Rational \: Number =\dfrac{13}{2} \times \dfrac{1}{2}} } \\ \\

\implies{ \underline{ \boxed{ \bf{ \green{ Rational \: Number =\dfrac{ 13}{4} }}} }}

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