Question

Multiply 6/11 by the additive inverse of 11/4

Answer 1

6/11*11/4
additive inverse of 6/11=-6/11
=11/4*-6/11
=-11/2
-1whole 1/3

Answer 2

Concept

The additive inverse of a number is defined as the value that, when added to the original number, results in a value of zero. It is the value we add to a number to get zero. Suppose a is a prime number, then its additive inverse will be minus a, i.e. -a, so;

a+(-a) = a – a = 0

The additive inverse of any given number can be found by changing its sign. The additive inverse of a positive number will be negative, while the additive inverse of a negative number will be positive. However, the numerical value will not change except for the sign. The addition of a number and its additive inverse equals the additive identity.

The properties of the additive inversion are given below based on the negation of the original number. For example, x is the original number, then its additive inverse is -x. So here we will see the properties of -x.

−(−x) = x

(-x)^2 = x^2

−(x + y) = (−x) + (−y)

−(x – y) = y − x

x − (−y) = x + y

(−x) × y = x × (−y) = −(x × y)

(−x) × (−y) = x × y

Given

6/11 is given

Find

We need to find the value when 6/11 is multiplied by the additive inverse of 11/4

Solution

The additive inverse of 11/4 is -11/4

Now,

6/11 * (-11/4)

= -6/4

= -3/2

Hence when we multiply 6/11 by the additive inverse of 11/4, we get -3/2

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