−4 × (7) = ?
−4 × (7) = 28 [∵ () x (+) = ()]
−45 ÷ 9 = ?
−45 ÷ 9 = −5
−5 × (−6) =?
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.
Which of the following is true?
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) = ?
10 × (−3) = 30 [∵ (+) x () = ]
Difference between 43°C and 17°C is:
43  (17) = 60
−67 × (−1) = ?
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 × (−1) = ?
2 x (1) = 2 [∵ () x () = +]
25 ÷ −5 = ?
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
6 × (−15 + 10) = ______
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.
−(−2) × (3 + 5) = ________
According to BODMAS,
 (2) × (3 + 5) = 2 x 8 = 16
Which of the following statements is wrong?
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) ÷ (− 6 + 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
The product of 140 and +8 is
140 x 8 = 1120
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