Plzzz solve it fastt

1.	Plzzz solve it fastt
Answer» QuestioN :- <P>2. Find the two integers between which the given rational numbers lie. Also, find their actual position on a number line. a) 15 / 17. b) 12 / 5. c) - 34 / 16. d) - 12 / 70. SolutioN :- ✎ We have, Rational number. Rational number can be define as a number which can EXPRESS in the form of p / q, where q ≠ 0. ✎ Rational number :— 15 / 17. 12 / 5. - 34 / 16. - 12 / 70. $\rule{140}2$ ✎ Let's Taking Some Cases, to find greatest integer and least integer. Out of four given Rational number, The least rational number is - 34 / 16. The greatest rational number is 12 / 5. $\rule{200}2$ ☛ Case 1. For greatest possible integer. $\tt \mapsto \dfrac{ - 34}{16}$ $\tt \mapsto - 2.125$ ✵ Integer form - 3. $\rule{200}2$ ☛ Case 2. For least possible integer. $\tt \mapsto \dfrac{ 12}{5}$ $\tt \mapsto 2.4$ ✵ Integer form 3. $\rule{200}2$ ${\tt{Note:}}\begin{cases} \sf{The \: least \: possible \: integer} \\ \sf{come \: after \: greater \: rational} \\ \sf{number.}\end{cases}$ $\tt{Note:}\begin{cases} \sf{The \: greater \: possible \: integer} \\ \sf{come \: after \: least \: rational} \\ \sf{number.}\end{cases}$ ♢ Given, four rational lies on number line between - 3 , 3. $\setlength{\unitlength}{1cm}\thicklines\begin{picture}(0,0)\put(3,3){\line(1,0){6}}\put(3,3){\circle{0.2}}\put(2.6,3.5){$-3$} \put(4,3){\circle{0.2}}\put(3.6,3.5){$\tt{\dfrac{-34}{16}}$} \put(5,3){\circle{0.2}}\put(4.6,3.5){$\tt{\dfrac{-12}{70}}$} \put(6,3){\circle{0.2}}\put(5.9,3.5){$0$} \put(7,3){\circle{0.2}}\put(6.9,3.5){$\tt{\dfrac{15}{17}}$}\put(8,3){\circle{0.2}}\put(9,3){\circle*{0.2}}\put(7.9,3.5){$\tt{\dfrac{12}{5}}$}\put(8.9,3.5){$3$}\end{picture}$

Answer»

QuestioN :-

<P>2. Find the two integers between which the given rational numbers lie. Also, find their actual position on a number line.

a) 15 / 17.

b) 12 / 5.

c) - 34 / 16.

d) - 12 / 70.

SolutioN :-

✎ We have, Rational number.

Rational number can be define as a number which can EXPRESS in the form of p / q, where q ≠ 0.

✎ Rational number :—

15 / 17.

12 / 5.

- 34 / 16.

- 12 / 70.

$\rule{140}2$

✎ Let's Taking Some Cases, to find greatest integer and least integer.

Out of four given Rational number,

The least rational number is - 34 / 16.

The greatest rational number is 12 / 5.

$\rule{200}2$

☛ Case 1.

For greatest possible integer.

$\tt \mapsto \dfrac{ - 34}{16}$

$\tt \mapsto - 2.125$

✵ Integer form - 3.

$\rule{200}2$

☛ Case 2.

For least possible integer.

$\tt \mapsto \dfrac{ 12}{5}$

$\tt \mapsto 2.4$

✵ Integer form 3.

$\rule{200}2$

${\tt{Note:}}\begin{cases} \sf{The \: least \: possible \: integer} \\ \sf{come \: after \: greater \: rational} \\ \sf{number.}\end{cases}$

$\tt{Note:}\begin{cases} \sf{The \: greater \: possible \: integer} \\ \sf{come \: after \: least \: rational} \\ \sf{number.}\end{cases}$

♢ Given, four rational lies on number line between - 3 , 3.

$\setlength{\unitlength}{1cm}\thicklines\begin{picture}(0,0)\put(3,3){\line(1,0){6}}\put(3,3){\circle*{0.2}}\put(2.6,3.5){$-3$} \put(4,3){\circle*{0.2}}\put(3.6,3.5){$\tt{\dfrac{-34}{16}}$} \put(5,3){\circle*{0.2}}\put(4.6,3.5){$\tt{\dfrac{-12}{70}}$} \put(6,3){\circle*{0.2}}\put(5.9,3.5){$0$} \put(7,3){\circle*{0.2}}\put(6.9,3.5){$\tt{\dfrac{15}{17}}$}\put(8,3){\circle*{0.2}}\put(9,3){\circle*{0.2}}\put(7.9,3.5){$\tt{\dfrac{12}{5}}$}\put(8.9,3.5){$3$}\end{picture}$