You have ₹ 500 in your savings account at the beginning of the month. The record below shows all of your transactions during the month. How much money is in your account after these transactions?

Water level in a well was 20m below ground level. During rainy season, rain water collected in different water tanks was drained into the well and the water level rises 5 m above the previous level. The wall of the well is 1m 20 cm high and a pulley is fixed at a height of 80 cm. Raghu wants to draw water from the well. The minimum length of the rope that he can use is

Write a negative integer and a positive integer whose difference is – 3.

Write a pair of integers whose product is – 36 and whose difference is 15.

If * is an operation such that for integers a and b we have

a * b = a × b + (a × a + b × b)

then find (i) (– 3) * (– 5)

(ii) ( – 6) * 2

State whether the statements are True or False.

We can write a pair of integers whose sum is not an integer.

Write a negative integer and a positive integer whose sum is – 5.

Evaluate the following, using distributive property.

(i) –39 × 99

(ii) (– 85) × 43 + 43 × (– 15)

(iii) 53 × (– 9) – (– 109) × 53

(iv) 68 × (–17) + ( –68) × 3

Write a positive integer and a negative integer whose sum is a negative integer.

Write a positive integer and a negative integer whose sum is a positive integer.