Download App

Rational Numbers — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsRational Numbers4 Marks
Question
Verify whether the given statement is true or false:
$\Big\{(-16)\div\frac{6}{5}\Big\}\div\frac{-9}{10}=(-16)\div\Big\{\frac{6}{5}\div\frac{-9}{10}\Big\}$
✓

Answer

False.

Solution:

$\text{L.H.S.}=\Big\{(-16)\div\frac{6}{5}\Big\}\div\frac{-9}{10}$

$=\Big[(-16)\times\frac{5}{6}\Big]\times\frac{10}{-9}$

$=\frac{(-16)\times5\times10}{6\times(-9)}$

$=\frac{800}{54}$

$=\frac{400}{27}$

$\text{R.H.S.}=(-16)\div\Big\{\frac{6}{5}\div\frac{-9}{10}\Big\}$

$=(-16)\div\Big[\frac{6}{5}\times\frac{10}{-9}\Big]$

$=-16\div\Big(\frac{-60}{45}\Big)$

$=-16\times\Big(\frac{-45}{60}\Big)$

$=-16\times\Big(\frac{-3}{4}\Big)$

$=\frac{48}{4}$

$=12$

$\text{L.H.S}\neq\text{R.H.S}$

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 "4 Mark Question" from Rational Numbers→Rational Numbers — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Construct a parallelogram, one of whose sides is 4.4cm and whose diagonals are 5.6cm and 7cm. Measure the other side.
→
Solve the following equation and also check your result in case:
$\text{x}-2\text{x}+2-\frac{16}{3}\text{x}+5=3-\frac{7}{2}\text{x}$
→
Resolve each of the following quadratic trinomial into factor:
$28-31 x-5 x^2$
 
→
Plot the given points on a graph sheet and check if they lie on a straight line. If not, name the shape they form when joined in the given order.
P(1, 3), Q(1, 5), R(3, 3) and S(3, 5)
→
Resolve each of the following quadratic trinomial into factor:
$7 x^2-19 x-6$
 
→
The difference betwen two selling prices of a shirt at profits of 4% and 5% is Rs. 6. Find
(i) C.P. of the shirt
(ii) The two selling prices of the shirt
→
Find the difference between the simple interest and the compound interest on Rs. 5000 for 2 years at 9% per annum.
→
Plot the given points on a graph sheet and check if they lie on a straight line. If not, name the shape they form when joined in the given order.
L(2, 0), M(2, 3), N(0, 3) and O(0, 0)
→
Construct a quadrilateral ABCD given that AB = 4cm, BC = 3cm, $\angle\text{A}=75^\circ,$ $\angle\text{B}=80^\circ$ and $\angle\text{C}=120^\circ.$
→
Plot the points (2, 8), (7, 8) and (12, 8). Join these points in pairs. Do they lie on a line? What do you observe?
→