PART - 2 CH : 2 Operations with Integers MATHS - PART - 2 CH : 2 Operations with Integers

Use the numbers 3, -2, 5, -6 exactly once and the operations ‘+’, ‘-’, and ‘×’ exactly once and brackets as necessary to write an expression such that:
The result is the minimum possible

Use the numbers 3, -2, 5, -6 exactly once and the operations ‘+’, ‘-’, and ‘×’ exactly once and brackets as necessary to write an expression such that:-
The result is the maximum possible

Find the value of:
(280 × (-7)) ÷ ((-8) × (-35))

Find the value of:
(25 × (-12)) ÷ ((45) × (-27))

Find the value of:
(32) ÷ ((-36) × (-18))

Fill in the blank in at least 5 different ways with integers:
(_______-(_______-_______)) = -1

Fill in the blank in at least 5 different ways with integers:
(_______-_______) x _______ = 12

Fill in the blank in at least 5 different ways with integers:
_______+_______ x _______= -36

Given that 207 × (-33 + 7) = -5382, write the value of -207 × (33 – 7) = ________

Given that (-548) × 972 = -532656, write the value of:
(-547) × 971

Arrange the expressions given below in increasing order:
(a) (-348) + (-1064)
(b) (-348) – (-1064)
(c) 348 – (-1064)
(d) (-348) × (-1064)
(e) 348 × (-1064)
(f) 348 × 964

Find 3 consecutive numbers with a product of (a) -6, (b) 120.

Find the following products:
(a) 4 × (-3)
(b) (-6) × (-3)
(c) (-5) × (-1)
(d) (-8) × 4
(e) (-9) × 10
(f) 10 × (-17)

A cement company earns a profit of ₹ 8 per bag of white cement sold and a loss of ₹ 5 per bag of grey cement sold. [Represent the profit/loss as integers.]
(a) The company sells 3,000 bags of white cement and 5,000 bags of grey cement in a month. What is its profit or loss?
(b) If the number of bags of grey cement sold is 6,400 bags, what is the number of bags of white cement the company must sell to have neither profit nor loss?

Let us try to find a few more pairs of numbers from their sums and differences:
(a) Sum = 27, Difference = 9
(b) Sum = 4, Difference = 12
(c) Sum = 0, Difference = 10
(d) Sum = 0, Difference = -10
(e) Sum = -7, Difference = -1
(f) Sum = -7, Difference = -13

In a test, (+4) marks are given for every correct answer and (-2) marks are given for every incorrect answer:
Anil scored (-10) marks even though he had 5 correct answers. How many of his answers were incorrect? Did he leave any questions unanswered?

In a test, (+4) marks are given for every correct answer and (-2) marks are given for every incorrect answer:
Anita answered all the questions in the test. She scored 40 marks even though 15 of her answers were correct. How many of her answers were incorrect? How many questions are in the test?

Using the token interpretation, find the values of:
(-4) × (-1)

Using the token interpretation, find the values of:
(-5) × (-2)

Using the token interpretation, find the values of:
3 × (-2)