Operations on Integers
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Q1
The product of a positive integer and a negative integer is
Marks:1Answer:
negative.
Explanation:
The product of a positive integer and a negative integer is always negative because 1 x 1 = 1.

Q2
If x 48 = 1, then the value of x is
Marks:1Answer:
48.
Explanation:
x 48 = 1
= 1,
x = 148 = 48

Q3
(105)(7) = ………
Marks:1Answer:
15.
Explanation:
In general, for any two positive integers a and b, we have
a(b) =  (a) (b)Here, a = 105 and b = 7.
On solving,(105) (7) = 15

Q4
The value of (1) (5) (4) (7) is
Marks:1Answer:
140.
Explanation:
(1) (5) (4) (7) = [(1) (5)] [ (4) (7)]
In general, for any integer a and b.
(a) (b) = a bTherefore, the given expression can be evaluated as follows:
[(1) (5)] [(4) (7)] = (1 5) (4 7)= 5 28
= 140

Q5
Product of two integers is –48. If one of the integers is –6 then the other is
Marks:1Answer:
8.
Explanation:
Let the other integer be x.
According to the question.
x –6 = –48
or, x = –48 –6
or, x = + 8