Download App

Rational Numbers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers5 Marks
Question
Verify whether the given statement is true or false: $\Big(\frac{5}{9}\div\frac{1}{3}\Big)\div\frac{5}{2}=\frac{5}{9}\div\Big(\frac{1}{3}\div\frac{5}{2}\Big)$
✓

Answer

False.
Solution:
$\text{L.H.S.}=\Big(\frac{5}{9}\div\frac{1}{3}\Big)\div\frac{5}{2}$
$=\Big(\frac{5}{9}\times\frac{3}{1}\Big)\times\frac{2}{5}$
$=\frac{5\times3\times2}{9\times1\times5}$
$=\frac{30}{45}$
$=\frac{2}{3}$
$\text{R.H.S.}=\frac{5}{9}\div\Big(\frac{1}{3}\div\frac{5}{2}\Big)$
$=\frac{5}{9}\div\Big(\frac{1}{3}\times\frac{2}{5}\Big)$
$=\frac{5}{9}\div\Big(\frac{2}{15}\Big)$
$=\frac{5}{9}\times\Big(\frac{15}{2}\Big)$
$=\frac{75}{18}$
$=\frac{25}{6}$
$\text{L.H.S}\neq\text{R.H.S}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "5 Marks Questions" from Rational Numbers→Rational Numbers — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

In $2007-08,$ the number of students appeared for Class X examination was $105332$ and in $2008-09,$ the number was $116054.$ If $88151$ students pass the examination in $2007-08$ and $103804$ students in $2008-09.$ What is the increase or decrease in pass$\%$ in Class X result?
→
Solve:
$4y^2+ 12y + 5$
→
If $a$ and $b$ vary inversely to each other, then find the values of $p, q, r ; x, y, z$ and $l, m, n.$
$a$
$6$
$8$
$q$
$50$
$b$
$18$
$p$
$39$
$r$
 
$a$
$2$
$y$
$6$
$10$
$b$
$x$
$12.5$
$15$
$z$
 
$a$
$l$
$9$
$n$
$6$
$b$
$5$
$m$
$25$
$10$
→
A grocer purchased $200\ kg$ of rice at $Rs.25/kg$. He sold $80\ kg$ of it at a gain of $10\%$ and $40\ kg$ at a loss of $4\ %.$ At what rate/kg should he sell the remainder to gain $8\%$ on his total investment$?$
→
Solve the following equation and verify your answer: $\frac{9\text{x}-7}{3\text{x}+5}=\frac{3\text{x}-4}{\text{x}+6}$
→
Divide $24\left(x^2 y z+x y^2 z+x y z^2\right)$ by 8xyz using both the methods.
→
If $1$ part of a red pigment requires $75\ mL$ of base, how much red pigment should we mix with $1800\ mL$ of base ?
→
Factories:
$\left(a^2-54\right)^2-36$
→
By what number should the following numbers be multiplied to get a perfect square in each case? Also, find the number whose square is the new number. $4056$
→
The ages of sonu and Monu are in the ratio $7 : 5$. Ten years hence, the ratio of their ages will be $9 : 7$. Find their present ages.
→