Respuesta :

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

Solution:

Given, expression is [tex]-4 \frac{1}{4}-\left(-2 \frac{1}{4}\right)[/tex]

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

So, now, take the expression

⇒ [tex]-4 \frac{1}{4}-\left(-2 \frac{1}{4}\right)[/tex]

The product of two negative signs gives a positive sign.

[tex]\left.-4 \frac{1}{4}+2 \frac{1}{4}\right[/tex]

Writing [tex]4\frac{1}{4}[/tex] as two fractions, out of which one is additive inverse of [tex]2\frac{1}{4}[/tex]

[tex]-2-2 \frac{1}{4}+2 \frac{1}{4}[/tex]

we know that, sum of additive inverses results 0.

-2 + 0 = -2

Hence, the value of expression is -2.