Question
Verify: (-82) x {(-4) + 19} = (-82) x (-4) + (-82) x 19
✓
Answer
(-82) x {(-4) + 19} = (-82) x (-4) + (-82) x 19
L.H.S. = (-82) x {(-4) + 19}
= (-82) x {-4 + 19}
= (-82)x {15}
= -82 x 15
= - 1230
R.H.S. = (-82) x (-4) + (-82) x 19
= -82 x (-4 + 19)
= -82 x 15
=-1230
Hence, L.H.S. = R.H.S
L.H.S. = (-82) x {(-4) + 19}
= (-82) x {-4 + 19}
= (-82)x {15}
= -82 x 15
= - 1230
R.H.S. = (-82) x (-4) + (-82) x 19
= -82 x (-4 + 19)
= -82 x 15
=-1230
Hence, L.H.S. = 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.
Explore more
Similar questions
In a school out of 300 students, 70% are girls and 30% are boys. If 30 girls leave and no new boy is admitted, what is the new percentage of girls in the school?
The sum of three consecutive odd numbers is 63. Find the numbers.
The inner circumference of a circular track is 264 m and the width of the track is 7 m. Find:
(i) the radius of the inner track.
(ii) the radius of the outer circumference.
(iii) the length of the outer circumference.
(iv) the cost of fencing the outer circumference at the rate of ₹50 per m.
(i) the radius of the inner track.
(ii) the radius of the outer circumference.
(iii) the length of the outer circumference.
(iv) the cost of fencing the outer circumference at the rate of ₹50 per m.
In India, the Census is held every 10 years to count the whole population of the country. In a particular Census, the data of the number of children in 25 families of a village was provided as :
1, 2, 4, 2, 0, 2, 3, 3, 1, 0, 2, 3, 4, 3, 1, 1, 2, 1, 2, 3, 2, 4, 1, 2, 2.
Rahul works in the analytics department of the Census. He was given the task of analysing this data of the 25 families of this village.
Q.1. How many families have 3 children?
(a) 2 $\quad$$\quad$(b) 3$\quad$$\quad$ (c) 5$\quad$$\quad$ (d) 6
Q.2. The cumulative frequency of families having 3 children is :
(a) 13$\quad$$\quad$(b) 17$\quad$$\quad$ (c) 18$\quad$$\quad$ (d) 22
Q.3. The mean number of children in these 25 families is :
(a) 1.96 $\quad$$\quad$(b) 2.04$\quad$$\quad$ (c) 2.85$\quad$$\quad$ (d) 3.15
Q.4. The median of the number of children in these 25 families is :
(a) 1 $\quad$$\quad$(b) 2 $\quad$$\quad$(c) 3$\quad$$\quad$ (d) 4
→1, 2, 4, 2, 0, 2, 3, 3, 1, 0, 2, 3, 4, 3, 1, 1, 2, 1, 2, 3, 2, 4, 1, 2, 2.
Rahul works in the analytics department of the Census. He was given the task of analysing this data of the 25 families of this village.
Q.1. How many families have 3 children?
(a) 2 $\quad$$\quad$(b) 3$\quad$$\quad$ (c) 5$\quad$$\quad$ (d) 6
Q.2. The cumulative frequency of families having 3 children is :
(a) 13$\quad$$\quad$(b) 17$\quad$$\quad$ (c) 18$\quad$$\quad$ (d) 22
Q.3. The mean number of children in these 25 families is :
(a) 1.96 $\quad$$\quad$(b) 2.04$\quad$$\quad$ (c) 2.85$\quad$$\quad$ (d) 3.15
Q.4. The median of the number of children in these 25 families is :
(a) 1 $\quad$$\quad$(b) 2 $\quad$$\quad$(c) 3$\quad$$\quad$ (d) 4
The sum of two consecutive odd numbers is 56 . Find the numbers.
In the figure, given below, $A B C D$ is a square, and $\triangle B E C$ is an equilateral triangle. Find, the case: $\angle B A E$
→In the given figure, the directed lines are parallel to each other. Find the unknown angles.
Aditya went to Australia during the holidays of his children. They visited the coral reef and they were all excited to go for scuba diving. Aditya dived 36 feet to reach the brain coral as his instructor had directed him. He then rose by 19 feet to travel over a ridge.
Q.1. What is the depth of the ridge?
(a) 57 feet (b) 19 feet (c) 17 feet (d) 45 feet
Q.2. Aditya again dived 58 feet to reach the base of the reef. What is the depth of the reef?
(a) 32 feet (b) 41 feet (c) 58 feet (d) 75 feet
Q.3. In order to see an underwater cave, Aditya rose 26 feet. What is his location with respect to sea-level?
(a) 49 feet (b) 101 feet (c) 26 feet (d) 9 feet
Q.4. If a whale moving at a depth of 21 feet from the sea level passed over Aditya, what was its distance from Aditya?
(a) 64 feet (b) 49 feet (c) 53 feet (d) 28 feet
Q.1. What is the depth of the ridge?
(a) 57 feet (b) 19 feet (c) 17 feet (d) 45 feet
Q.2. Aditya again dived 58 feet to reach the base of the reef. What is the depth of the reef?
(a) 32 feet (b) 41 feet (c) 58 feet (d) 75 feet
Q.3. In order to see an underwater cave, Aditya rose 26 feet. What is his location with respect to sea-level?
(a) 49 feet (b) 101 feet (c) 26 feet (d) 9 feet
Q.4. If a whale moving at a depth of 21 feet from the sea level passed over Aditya, what was its distance from Aditya?
(a) 64 feet (b) 49 feet (c) 53 feet (d) 28 feet
Evaluate: $-\frac{2}{3}-\left(\frac{-5}{7}\right)$
→Find the cost price of an article, which is sold for Rs. 4050 at a loss of 10%. Also, find the new selling price of the article which must give a profit of 8%.