Simplify the following: 22-1 4 -5-(-48) (-16) - Vidyadip

Question

Simplify the following: $22-\frac{1}{4}\big\{-5-(-48)\div(-16)\big\}$

✓

Answer

$22-\frac{1}{4}\big\{-5-(-48)\div(-16)\big\}$
$=22-\frac{1}{4}\{-5-(-48-16)\}$
$=22-\frac{1}{4}\Big(-5-\frac{48}{16}\Big)$
$=22-\frac{1}{4}\big(-5-3\big)$
$=22-\frac{1}{4}(-8)$
$=22+\frac{8}{4}$
$=22+2$
$=24$
$\therefore\ 22-\frac{1}{4}\big\{-5-(-48)\div(-16)\big\}=24$

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 "3 Marks Question" from Integers→Integers — all question types→MATHS STD 7 question papers→Gujarat Board STD 7 question papers→Gujarat Board question paper generator→

Similar questions

What portion of a ‘saree’ can Rehana paint in $1$ hour if it requires $5$ hours to paint the whole saree? In $4\frac{3}{5}$ hours? In $3\frac{1}{2}$ hours?

Is it possible to have a triangle with the following sides?
(i) 2 cm, 3 cm, 5 cm
(ii) 3 cm, 6 cm, 7 cm
(iii) 6 cm, 3 cm, 2 cm

Calculate the mean for the following distribution:

X:	5	6	7	8	9
F:	4	8	14	11	3

A square lawn has a 2 m wide path surrounding it. If the area of the path is $136 m^2$, find the area of the lawn.

Solve the following equation and check your answer:
$\frac{1}{3}-2 x=0$

Find the time when:
Principal $= Rs. 5200, S.I. = Rs. 975$ and time $=2\frac12\text{ years}.$

Solve the following equation by trial-and-error method:
$4 x=28$

Solve the following equation and check your answer:
$8(2 x-5)-6(3 x-7)=1$

Verify the following
(i) $19 \times\{7+(-3)\}=19 \times 7+19 \times(-3)$
(ii) $(-23) \mid(-5)+(+19)\}=(-23) \times(-5)+(-23) \times(+19)$

Identify the like terms in the following algebraic expressions.
(i) $5 x^2-6 x y+6 x^2+1$
(ii) $2 x^2+3 y^2+5 x^2-9 y^2-3 x y+5 x y$