Question

Explain how to use the additive inverse to find the value of an expression such as,

-4 1/4 - (-2 1/4)​

Answer 1

The value of -4 1/4 - (-2 1/4)​ using additive inverse property is -2

Solution:

Given, expression is
`-4 (1)/(4)-\left(-2 (1)/(4)\right)`

We have to find the value of the given expression with the help of additive inverse.

So, now, take the expression

⇒
`-4 (1)/(4)-\left(-2 (1)/(4)\right)`

The product of two negative signs gives a positive sign.

`\left.-4 (1)/(4)+2 (1)/(4)\right`

Writing
`4(1)/(4)` as two fractions, out of which one is additive inverse of
`2(1)/(4)`

`-2-2 (1)/(4)+2 (1)/(4)`

we know that, sum of additive inverses results 0.

-2 + 0 = -2

Hence, the value of expression is -2.