Question

Let 'O' and 'P' represent the numbers 0 and 3 respectively on the number
line. Points Q, R and S are between 'O' and 'P' such that OQ = QR = RS = SP.
What are the rational numbers represented by the points Q, R and S?
pls help... really really need this​

Answer 1

Q is 0.75

R is 1.5

S is 2.25

Answer 2

$\underline{\pink{ Property \:of \:Dencity: }}$

$Between \:any \:two \:rational \: numbers$

$'a' \: and \: 'b' \:there \:will \:be \: another$

$rational \:number \: \blue{\frac{a+b}{2} }$

$i ) Here , a = 0 \: and \: b = 3$

$A \:rational \: number \: between \:0 \:and \:3$

$R = \frac{0+3}{2}$

$= \frac{3}{2}$

$= 1.5\: --(1)$

$ii)A \:rational \: number \: between \:0 \:and \:1.5$

$Q = \frac{0 + 1.5}{2}$

$= 0.75 \: --(2)$

$iii)A \:rational \: number \: between \:1.5$

$and \:3$

$S = \frac{1.5+ 3}{2}$

$= \frac{4.5}{2}$

$= 2.25 \: --(3)$

$O = 0 , Q = 0.75 , R=1.5 , S = 2.25\:and \: P = 3$

$OQ = QR = RS = SP = 0.75$

Therefore.,

$\red{ The\: rational \:numbers\: represented}$

$\red{ by \:the\: points \:Q,R \:and \:S \:are }$

$\green { \: 0.75 , 1.5 \: and \: 2.25 }$

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