Question

If a is an integer then ax(-1) is​

Answer 1

The correct option is d) -a.

CORRECT QUESTION:-

If a is an integer then a × (-1) is

a) a

b) -1

c) 1

d) -a

ANSWER:-

GIVEN:- a is an integer

TO FIND:- a × (-1)

SOLUTION:-

• The product of a positive integer and a negative integer is always negative.
• The product of two positive integers is always positive.
• The product of two negative integers is always positive.
• Any number multiplied by one is equal to the number itself.

According to the question,

As we can see that the given integer "a" does not have a minus sign Thus, it is a positive integer

And we have to find the product of the given integer "a" and -1. As we can discern that "-1" is a negative integer

As discussed above,

The product of a positive integer and a negative integer is always negative.

$a \times ( - 1) = - a$

Hence, the correct option is d) -a.

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Answer 2

The value of a * (-1) can be 0, -a and +a.

Given,

a is an integer

To find,

a x (-1)=?

Solution,

• Integer is a number that is not a fraction.
• Integer can be zero, positive or negative.
• Examples are -2,-1,0,1,2
• Integer is a whole number.
• Negative integers are nothing but inverse of positive integer.

Now,

Let :

a=0

∴ a* -1 =0

a = negative integer -a

∴ -a *-1 =+a

a = any positive integer +a

∴ +a * -1 = -a

Hence, the value of a * (-1) can be 0, -a and +a.

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