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.