Question

find 5 rational number between -1 and 0​

Answer 1

Answer:

Step-by-step explanation:

Question ;

find 5 rational number between -1 and 0​

step 1 ;understanding question

  we need to find 5 rational number between -1 and 0

step2 ; getting formulas for solving question

 1 st method using  a+b/2

2nd method making the given number equal to fraction

here i am using the second method.

step 3 ; using formulas

 -1 = -7/7 and

  0 = 0/7  

Thus ,numbers between -7/7 and 0/7 are

-1/7 ; -2/7 ; -3/7 ; -4/7 ; -5/7 etc .

Answer 2

$\bigstar\large\red{\underline\frak{\underline{given} } }$

• -1 and 0

$\bigstar\large\red{\underline\frak{\underline{to \: find} } }$

• 5 rational numbers between - 1 and 0

$\bigstar\large\green{\underline\frak{\underline{solution} } }$

$\sf \: Given \: number \: are - 1 \: and \: 0$

$\sf \: The \: middle \: rational \: number \: between \: - 1 \: and \: \frac{ - 1}{2}$

$\sf \qquad \: = \frac{1}{2} - \bigg \{1 + \bigg( \frac{ - 1}{2} \bigg) \bigg \} \\ \\ \sf \: = \frac{1}{2} \bigg( - 1 - \frac{1}{2} \bigg) \\ \\ \sf \: = \frac{1}{2} \bigg( \frac{ - 2 - 1}{2} \bigg) \\ \\ \sf \: = \frac{1}{2} \bigg( \frac{ - 3}{2} \bigg) \\ \\ \sf \frak{ = \red{\frac{ - 3}{4} }}$

$\sf \: The \: middle \: rational \: number \: between \: - 1 \: and\: \frac{ - 3}{4}$

$\sf \qquad \: = \frac{1}{2} \bigg \{ - 1 + \bigg( \frac{ - 3}{4} \bigg) \bigg \} \\ \\ \sf \: = \frac{1}{2} \bigg( - 1 - \frac{3}{4} \bigg) \\ \\ \sf \: = \frac{1}{2} \bigg( \frac{ - 4 - 3}{4} \bigg) \\ \\ \sf \: = \frac{1}{2} \bigg( \frac{ - 7}{4} \bigg) \\ \\ \sf \frak{ = \red{\frac{ - 7}{8} }}$

$\sf \: The \: middle \: rational \: number \: between \: \frac{ - 1}{2} \: and \: 0$

$\sf \qquad \qquad \: \frac{1}{2} \bigg( - \frac{1}{2} + 0 \bigg) \\ \\ \sf = \frac{ - 1}{4}$

$\sf \: The \: middle \: rational \: number \: between \: \frac{ - 1}{4} \: and \: 0$

$\sf \qquad \qquad \frac{1}{2} \bigg( - \frac{1}{4} + 0 \bigg) \\ \\ \sf \: = \frac{1}{2} \bigg( - \frac{1}{4} \bigg) \\ \\ \sf = \frac{ - 1}{8}$

$\sf \: Thus \: 5 \: numbers \: between \: - 1 \: and \: 0 \: are$

$\qquad \sf \red{ \frac{ - 7}{8} , \frac{ - 3}{4} , \frac{ - 1}{2} , \frac{ - 1}{4} , \frac{ - 1}{8} }$