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Two 'pluses' make a plus, two 'minuses' make a plus. A plus and a minus make a minus.
−4 × (7) = 28 [∵ () x (+) = ()]
−45 ÷ 9 = −5
In this question, we have to multiply the integers with the same negative sign.
5 x 6 = 30 [∵ () x () = +]
In multiplication, we have to multiply the sign of the integers also and then assign the obtained sign to the answer.
Negative sign multiplied by negative sign gives an overall positive sign.
LHS: (8) + (4) = 12
RHS: (8) – (4) = 4
⇒ 12 < 4 i.e. LHS<RHS
⇒ ( 8) + ( 4) < ( 8) – ( 4)
Thus, option C is correct.
The sum of two integers is 112. If one of them is 109 the other is:
Let other number be x.
⇒ x + (109) = 112
⇒ x = 112 + 109 = 3
10 × (−3) = 30 [∵ (+) x () = ]
43  (17) = 60
67 x (1) = 67 [∵ () x () = +]
A place is 45 metre above sea level and another place is 25 meter below sea level. What is the difference of level in metres between the two places?
45 m above sea level = +45
25 m below sea level = 25
Therefore, 45  (25) = 70
2 x (1) = 2 [∵ () x () = +]
25 ÷ 5 =  5 [∵ (+/) = ]
At Shimla, temperature was 5°C on Monday and then it dropped by 2^{°}C on Tuesday. What was the temperature of Shimla on Tuesday?
Temperature on Monday = 5°C
Temperature on Tuesday = Temperature on Monday  2°C = 5°C  2°C = 7°C
According to BODMAS,
6 × (−15 + 10) = 6 × (5) = 30
[∵ 15 + 10 = 5]
(1) × (1) × (1) × ......... (2m + 1) times, where m is a natural number, is equal to:
If negative terms are multiplied odd times, then the result will always be negative.
Thus option B is correct.
Manish deposits Rs 2000 in his bank account and withdraws Rs 1000 from it, the next day. Find the balance in Manish’s account after the withdrawal.
Manish deposits amount = 2000
Manish withdraws amount = 1000
Balance of Manish's account = 2000 + (1000) = Rs 1000
Thus option C is correct.
According to BODMAS,
 (2) × (3 + 5) = 2 x 8 = 16
When a positive integer and a negative integer are added, we may either get a negative integer or positive integer.
Example:
5 + (2) = 3
2 + (5) = 3
(−12  3) = 15
(− 6 + 3) = 3
⇒ (−12  3) ÷ (− 6 + 3) = (15) ÷ (3) = 5
If a = 20, b = 40 and c = 80 then a x b + a x c must be equal to
a = 20, b = 40, c = 80
According to BODMAS,
a x b + a x c = 20 x 40 + 20 x 80 = 800 + 1600 = 2400
140 x 8 = 1120
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